35 points?with explanation​

Answer:

x = −1 ± √17

Hope this helps and have a nice day! :)

Answer:

B

Step-by-step explanation:

So your equation is actually x^2+2x+1=17

Left hand side is already set for rewriting it as a perfect square

So you have actually that (x+1)^2=17

Now you just take square root of both sides

x+1=(pm) sqrt(17)                        (pm) means plus or minus

x=-1 (pm) sqrt(17)                         I subtracted 1 on both sides

B

Answer: about 34.6

Step-by-step explanation: 11 is the radius, but you need the diameter which is 22. multiply 22 by pi and divide that number by 2 since it is half a circle.

Answer:

Part 1) [tex]x=6.6\ units[/tex]

Part 2) [tex]DE=16.2\ units[/tex]

Step-by-step explanation:

Part 1) Find the value of x

we know that

Triangles CDF and FDE are similar

therefore

The ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

[tex]CD/FD=FD/DE[/tex]

[tex]\frac{5}{9}=\frac{9}{2x+3} \\ \\5*(2x+3)=9*9\\ \\10x+15=81\\ \\10x= 81-15\\ \\10x=66\\ \\ x=6.6\ units[/tex]

Part 2) Find the length of DE

[tex]DE=2x+3[/tex]

substitute the value of x

[tex]DE=2(6.6)+3=16.2\ units[/tex]

Answer:

x = 6.6

Length of  =  16.2 units

Answer:

$45

Step-by-step explanation:

$12.50÷5=$2.50

$2.50×18=$45

or

12.50/5=n/18

Answer: Cost of 18 boxes is $45.

Step-by-step explanation:

Since we know that

Cost of 5 boxes of cereal = $12.50

We will use "Unitary method":

Cost of 1 box of cereal is given by

[tex]\dfrac{12.50}{5}\\\\=\$2.5[/tex]

So, Cost of 18 boxes would be

[tex]\$2.5\times 18\\\\=\$45[/tex]

Hence, cost of 18 boxes is $45.

Answer:

Either [tex]-4\sqrt{6}[/tex] or [tex]4\sqrt{6}[/tex], depending on whether [tex]\alpha[/tex] is larger than [tex]\beta[/tex].

Step-by-step explanation:

The two roots (might necessarily be distinct or real) of the quadratic equation

[tex]ax^{2} + bx + c = 0[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are constants and [tex]a\ne 0[/tex] are

The difference between the two will be either:

[tex]x_1 - x_2 = 2\sqrt{b^{2} - 4ac}[/tex] or

[tex]x_2 - x_1 = -2\sqrt{b^{2} - 4ac}[/tex].

For this question,

[tex]x_1 - x_2 = 2\sqrt{(-6)^{2} - 4\times 3\times (-1)} = 4\sqrt{6}[/tex], or

[tex]x_1 - x_2 = -2\sqrt{(-6)^{2} - 4\times 3\times (-1)} = -4\sqrt{6}[/tex].

Answer:

$40.35

Step-by-step explanation:

First, solve for the sales price. Change the percentage into a decimal:

60% = 60/100 = 0.60

Next, multiply 0.60 with the original price, 97:

97 x 0.60 = 58.2

Subtract 58.2 from the original price:

97 - 58.2 = 38.8

Now, change the tax percentage into a decimal.

4% = 4/100 = 0.04

Multiply 0.04 with the sales price:

38.8 x 0.04 = 1.552

Add the sales price (rounded to nearest hundredth) to the sales price:

1.55 + 38.8 = 40.35

$40.35 is your answer.

~

Answer:

40.35

Step-by-step explanation:

First find the discount

97 * 60%

97 *.6 = 58.2

Subtract the discount to find the new price

97-58.20 =38.80

Next find the tax

38.80 * 4%

38.80 * .04

1.55

We add the tax to the sales price

38.8+1.55

40.35

Answer:

Associative property of addition

Step-by-step explanation:

The order of the addition doesn't matter. That is what the brackets show.

Answer:

Step-by-step explanation:

[tex]\bold{Commutative\ Property\ of\ Addition:}\ a+b=b+a\\\\\bold{Inverse\ Property\ of\ Addition:}\ a+(-a)=0\\\\\bold{Commutative\ Property\ of\ Multiplication:}\ a\cdot b=b\cdot a\\\\\bold{Associative\ Property\ of\ Addition:}\ a+(b+c)=(a+b)+c\\\\\text{We have}\ 7+(4+4)=(7+4)+4\\\\\text{It's Associative Property of Addition.}[/tex]

Answer:

5

Step-by-step explanation:

When you are dividing fractions you must flip the second digit and the sign should be changed to multiplication sign.

So in this equation it will be

2 / 4/10 =

2 * 10/4=

20/4=

5

Hope you found this answer helpful

Hello There!

Your answers would be #1 and #3

If Earl jogged 5 yards forward and then jogs 9 yards back, we are subtracting 9 from 5 and we get a difference of -4. This is because he jogged backward from his position after 5 yards.

If Clarissa had $49 in her checking account, we subtract $53 because she bought a pair of shoes so we get a difference of also -4

Answer:

the first one was the answer

Answer:

The similar triangles are Δ KMJ and Δ NML

The value of x is 3

KM = 6 and NM = 3

Step-by-step explanation:

* Lets revise the cases of similarity

1) AAA similarity : two triangles are similar if all three angles in the first

  triangle equal the corresponding angle in the second triangle  

- Example : In ΔABC and ΔDEF, m∠A = m∠D, m∠B = m∠E and  

 m∠C= m∠F then ΔABC ≈ ΔDEF by AAA  

2) AA similarity : If two angles of one triangle are equal to the

   corresponding angles of the other triangle, then the two triangles  

   are similar.

- Example : In ΔPQR and ΔDEF, m∠P = m∠D, m∠R = m∠F then  

  ΔPQR ≈ ΔDEF by AA  

3) SSS similarity : If the corresponding sides of two triangles are

   proportional, then the two triangles are similar.

- Example : In ΔXYZ and ΔLMN, if  

  then the two triangles are similar by SSS  

4) SAS similarity : In two triangles, if two sets of corresponding sides  

   are proportional and the included angles are equal then the two  

   triangles are similar.

- Example : In triangle ABC and DEF, if m∠A = m∠D and  

  then the two triangles are similar by SAS

* Now lets solve the problem

- ∠KMJ is a aright angle and M is on JL

∴ m∠JML = 180° ⇒ straight angle

∵ m∠JMK + m∠LMN = m∠JML

∴ 90° + m∠NML = 180° ⇒ subtract 90° from both sides

∴ m∠NML = 90°

- In Δ KMJ and ΔNML

∵ m∠KMJ = m∠NML ⇒ proved

∵ m∠KJM = m∠NLM ⇒ given

- By using the second case above (AA similarity)

∴ Δ KMJ ≈ Δ NML

* The similar triangles are Δ KMJ and Δ NML

- From similarity

∴ Their sides are proportion

∴ [tex]\frac{KM}{NM}=\frac{MJ}{ML}=\frac{KJ}{NL}[/tex]

∵ KJ = 10 and NL = 5

∵ KM = 3 + x and NM = x

- Substitute these values in the proportion relation

∵ [tex]\frac{KM}{NM}=\frac{KJ}{NL}[/tex]

∴ [tex]\frac{3+x}{x}=\frac{10}{5}[/tex]

- By using cross multiplication

∴ 5(3 + x) = 10(x) ⇒ simplify

∴ 5(3) + 5(x) = 10x

∴ 15 + 5x = 10x ⇒ subtract 5x from both sides

∴ 15 = 5x ⇒ divide both sides by 5

∴ 3 = x

* The value of x is 3

∵ KM = 3 + x

∵ x = 3

∴ KM = 3 + 3 = 6

∵ NM = x

∴ NM = 3

* KM = 6 and NM = 3

- Check the ratio

∵ KM/NM = 6/3 = 2

∵ KJ/NL = 10/5 = 2

∴ The sides are proportion

Answer:

Triangle JMK is similar to triangle LMN.

[tex]x = 3[/tex].

[tex]\rm \overline{KM}= 6[/tex].

[tex]\rm \overline{NM} = 3[/tex].

Step-by-step explanation:

The angle [tex]\rm N\hat{M}L[/tex] is a right angle for it is complementary with another right angle, [tex]\rm K\hat{M}J[/tex].

The diagram also indicates that angle [tex]\rm \hat{J}[/tex] is equal to angle [tex]\rm \hat{L}[/tex]. As a result, [tex]\rm \triangle JMK \sim \triangle LMN[/tex] for two of their angles are equal.

Consequently,

[tex]\displaystyle \rm \frac{(\overline{MN})}{(\overline{MK})} = \frac{(\overline{LN})}{(\overline{JK})}[/tex].

Let [tex]x[/tex] be the length of segment [tex]\rm MN[/tex].

[tex]\displaystyle \frac{x}{3+x} = \frac{5}{10}[/tex].

Cross multiply. In other words, multiply both sides by [tex]10(3 + x)[/tex].

[tex]10x = 5(3 + x)[/tex].

[tex]x = 3[/tex].

[tex]\rm \overline{KM} = 3 + \mathnormal{x} = 6[/tex].

[tex]\rm \overline{MN} = \mathnormal{x} = 3[/tex].

Answer:

[tex]2x-3y=-12[/tex]

Step-by-step explanation:

We can use the point-slope formula given by:

[tex]y-y_1=m(x-x_1)[/tex]

The given line passes through the

point (-3,2) and having slope [tex]m=\frac{2}{3}[/tex].

We substitute the given point and slope to get:

[tex]y-2=\frac{2}{3}(x--3)[/tex]

[tex]y-2=\frac{2}{3}(x+3)[/tex]

we clear the fraction to get;

[tex]3y-6=2(x+3)[/tex]

[tex]3y-6=2x+6[/tex]

[tex]3y-2x=6+6[/tex]

[tex]3y-2x=12[/tex]

Or in standard form:

[tex]2x-3y=-12[/tex]

The correct equation for a line passing through the point (-3,2) with a slope of 2/3 is y = 2/3x + 4, which corresponds to option C in the provided choices.

To find a correct equation for a line passing through a specific point with a given slope, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is the point through which the line passes.

In this problem, we have the point (-3, 2) and a slope of 2/3. Substituting these values into the point-slope form gives us:

y - 2 = 2/3(x + 3).

After multiplying both sides by 3 to eliminate the fraction, the equation becomes:

3(y - 2) = 2(x + 3).

Expanding and simplifying this equation further, we end up with:

3y - 6 = 2x + 6,

or

y = 2/3x + 4, which matches option C.

Therefore, the correct equation for the line passing through the point (-3, 2) with a slope of 2/3 is y = 2/3x + 4.

Answer:

60$ will be left

Step-by-step explanation: 30x8 = 240. subtract 300-240 and you get 60

Answer:

60

Step-by-step explanation:

30*8=240

300-240=60

Answer:

the explicit formula for given geometric sequence {1,-3,9,..} is [tex]a_{n}= (-3)^{n-1}[/tex]

Step-by-step explanation:

We are given the series

1,-3,9,...

the common ratio is:

-3/1 = -3

9/-3 = -3

So, the common ratio in the series is -3

a₁ = 1

The formula used for geometric series is:

[tex]a_{n}= a_{1}(r)^{n-1}[/tex]

Putting values of a₁ and r

[tex]a_{n}= 1(-3)^{n-1}[/tex]

[tex]a_{n}= (-3)^{n-1}[/tex]

So, the explicit formula for given geometric sequence {1,-3,9,..} is [tex]a_{n}= (-3)^{n-1}[/tex]

Answer:

the answer C) 3pi/2 semoga membantu

Answer:

Mitochondria

Step-by-step explanation:

Mitochondria is the cell organelle responsible for ATP synthesis.

Hope this helps!

Feel free to ask if you have anymore questions!

Answer: the mitochondria

Step-by-step explanation: it’s the power source of the cell. Hope this helps! :)

Answer:

* The value of a1 = 945.65 ⇒ answer c

Step-by-step explanation:

* Lets revise the geometric series

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)

* General term (nth term) of a Geometric Progression:

- U1 = a  ,  U2  = ar  ,  U3  = ar²  ,  U4 = ar³  ,  U5 = ar^4

- Un = ar^n-1, where a is the first term , r is the constant ratio

 between each two consecutive terms, n is the position

 of the term

- The sum of first n terms of a Geometric series is calculate

  from Sn = [a1 (1 - r^n)]/(1 - r) , where a1 is the first term, r is the

  common ratio and n is the number of the terms

* Lets solve the problem

∵ Sn = 88,560

∵ r = 2.2

∵ n = 6

∵ Sn = [a1 (1 - r^n)]/(1 - r)

∴  88,560 = [a1 (1 - 2.2^6)]/(1 - 2.2) ⇒ simplify up and down

∴ 88,560 = [a1 (-112.379904)]/(-1.2) ⇒ simplify the fraction

∴ 88,560 = a1 (93.64992) ⇒ divide both sides by 93.64992

∴ a1 = 945.6494998 ≅ 945.65

* The value of a1 = 945.65

Step-by-step Answer:

Topic: Points of division

There are scary looking formulas that can be used, but it is much easier to calculate by reasoning.

Given : A(-3,6), B(6,-3)

Solution:

The idea is to subdivide the DIFFERENCE in coordinates into thirds, and add onto that of A.  We choose A as the starting point, but method works equally well if we chose B.

Difference in coordinates (delta) between A & B is then

delta(Bx-Ax, By-Ay)

=(6-(-3), -3-6)

=delta(9, -9)

One third of difference (for point C)

=delta/3 = (3,-3)

So coordinates of point C

= A(-3,6)+(3,-3)

= C(0,3)

Two thirds of difference (for point D)

= (2/3)delta = (6, -6)

Coordinates for point D

= A(-3,6)+(6,-6)

= D(3,0)

If you prefer to use formulas, it would be

New coordinates = (Xa+(Xb-Xa)*k, Ya+(Yb-Ya)*k)

where

Xa,Xb = x-coordinates of points A & B respectively.

Ya,Yb = y-coordinates of points A & B respectively.

k=ratio (usually less than 1)

Here

k for point C = 1/3

k for point D = 2/3

Coordinate of C is: (0,3)

and Coordinate of D is: (3,0)

We know that if a point C(x,y) divides the given line segment A(a,b)B(c,d) into ratio of m:n

then the coordinates of points C are:

[tex]x=\dfrac{m\times c+n\times a}{m+n},\ y=\dfrac{m\times d+n\times b}{m+n}[/tex]

Here A(a,b)=A(-3,6)

and B(c,d)=B(6,-3)

This means that the coordinate of Point C are:

[tex]x=\dfrac{1\times 6+2\times (-3)}{1+2},\ y=\dfrac{1\times (-3)+2\times 6}{1+2}\\\\i.e.\\\\x=\dfrac{6-6}{3},\ y=\dfrac{-3+12}{3}\\\\i.e.\\\\x=0,\ y=\dfrac{9}{3}\\\\i.e.\\\\x=0,\ y=3[/tex]

Hence, the coordinates of Point C are: (0,3)

Hence, the coordinates of point D is calculated by:

[tex]x=\dfrac{2\times (6)+1\times (-3)}{1+2},\ y=\dfrac{2\times (-3)+1\times 6}{1+2}\\\\i.e.\\\\x=\dfrac{12-3}{3},\ and\ y=\dfrac{-6+6}{3}\\\\i.e.\\\\x=\dfrac{9}{3},\ y=\dfrac{0}{3}\\\\i.e.\\\\x=3,\ y=0[/tex]

Hence, the coordinate of Point D is: (3,0)

Answer:

x > -6

The solution above is graphed correctly in the last option choice.

Step-by-step explanation:

We have been given the equation 2x + 3> -9

In order to graph the solution, we must find the value of x

2x + 3 > -9

Subtract three from both sides

-9 - 3 = -12

2x > -12

Divide both sides by 2

x > -6

To determine how to graph the solution, look at the inequality symbol. If the symbol is "greater than" then you would graph the line going left. If it was "less than" than you would graph the line going right.

In our problem, we have the "greater than" symbol which means we will be graphing our line going to the right, and since we start our line from -6 we know the last option is the correct answer.

Answer: $75 per night and $15 per meal

Step-by-step explanation:

a 1 night cost $15

What's the equation defining?

Mathematics written statement indicating the equality of 2 expressions. this consists of the sequence of symbols that are split in the left or right sides joined by the equal sign. e.g, 2 + 4 + 5 = 11 is an equation.

Do equations always contain terms?

When equality holds, the total weight on the each side is the same. Equations often contain terms other than a unknowns. These other terms, which are assumed to known, is usually known as constants, coefficients and parameters

Step-by-step explanation:

offer 1 : (1)    2*night+3*meal=195

         (2)       night=(195-3*meal)/2

offer 2:  (3)     3*night+5*meal=300

if we replace eq (2) in eq (3)

3*(195-3*meal)/2+5*meal=300

292.5+0.5meal=300

meal=$15

Learn more about equations here brainly.com/question/2263981

#SPJ2

Answer:

D. WXYZ is not necessarily a parallelogram because it is unknown if WC = CY.

Step-by-step explanation:

edge2021

The statement which best explains that the quadrilateral WXYZ can be a parallelogram is D. WXYZ is not necessarily a parallelogram because it is unknown if WC = CY.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

In order to find this, we have to know the properties of the diagonals of a parallelogram.

Here given a parallelogram WXYZ.

The diagonals of a parallelogram bisect each other.

That is, if WXYZ is a parallelogram,

WC = CY and ZC = CX

But it is unknown that these are equal.

Hence the correct option is D.

Learn more about Parallelograms here :

https://brainly.com/question/29147156

#SPJ7

874.890 i think, sorry if im wrong

For this case we have the following quadratic equation:

[tex]3x ^ 2 + 7x + 4 = 0[/tex]

Where:

[tex]a = 3\\b = 7\\c = 4[/tex]

According to the quadratic formula we have:

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}[/tex]

Substituting:

[tex]x = \frac {-7 \pm \sqrt {7 ^ 2-4 (3) (4)}} {2 (3)}\\x = \frac {-7 \pm \sqrt {49-48}} {6}\\x = \frac {-7 \pm \sqrt {1}} {6}\\x = \frac {-7 \pm1} {6}[/tex]

We have two roots:

[tex]x_ {1} = \frac {-7 + 1} {6} = \frac {-6} {6} = - 1\\x_ {2} = \frac {-7-1} {6} = \frac {-8} {6} = - \frac {4} {3}[/tex]

Answer:

[tex]x_ {1} = - 1\\x_ {2} = - \frac {4} {3}[/tex]

Answer:

x = -4/3            x=-1

Step-by-step explanation:

3x^2 + 7x + 4 = 0

Factor the equation

(3x+4) (x+1) = 0

Using the zero product property

3x+4 =0         x+1 =0

3x+4-4=0-4    x+1-1=0-1

3x=-4                     x=-1

3x/3 = -4/3

x = -4/3            x=-1

Answer:

x = 22/15

Step-by-step explanation:

17x - 6 + 3x - 5 = x + 11 + 4x

Combine like terms on each side.

20x - 11 = 5x + 11

Add 11 to both sides. Subtract 5x from both sides.

15x = 22

Divide both sides by 15.

x = 22/15

Answer: 20x-11=5x+11

Step-by-step explanation:

Answer:

The correct option is 1, 4 and 6.

Step-by-step explanation:

The given two-way table is

                          WIN          LOSS          TOTAL

HOME GAMES     6               10               16

AWAY GAMES      3                8                11

TOTAL                   9              18               27

Total number of home games won by team is 6 and total number of away games won by team is 3. It means the team is twice as likely to win a home game as they are an away game.

The correct option is 1.

Total number of home games = 16.

Home game won by team is

[tex]\frac{6}{16}=\frac{3}{8}[/tex]

Option 2 is incorrect.

Total games = 27

Total games won by the team = 9

Total part of games won by team is

[tex]\frac{9}{27}=\frac{1}{3}[/tex]

Option 3 is incorrect.

The team played a total of 27 games.

Option 4 is correct.

The team won a total of 9 games.

Option 5 is incorrect.

Total home games loose by team = 10

Total away games loose by team = 8

The team lost more home games than away games.

Option 6 is correct.

Therefore the correct option is 1, 4 and 6.

Answer:

4 and 6

Step-by-step explanation:

took quiz

Answer:

A. The slope is 4.

B. The y-intercept is 8.

C. The equation is y = 4x + 8

Step-by-step explanation:

We know that there is a flat $8 cost in addition to $4 per ride. We can express this by using:

y = 8 + 4x.

y is the total cost

x is the number of rides

The question wants the equation in slope-intercept form.

Slope-intercept form of a line: y = mx + b

m = slope

b = y-intercept

y = 8 + 4x ➵ y = 4x + 8

Now that we have the slope-intercept form of the line, we can answer the problems.

A. The slope is 4.

B. The y-intercept is 8.

C. The equation is y = 4x + 8

Answer:  [tex]\bold{a.\quad \dfrac{1}{4}}[/tex]

Step-by-step explanation:

Since it is already given that the number is a 4 and each of the four colors only has one 4, then the probability for green is:

[tex]P=\dfrac{\text{number of green 4's}}{\text{total number of 4's}}=\dfrac{1}{4}[/tex]

If you wanted to find the probability that it is a four and it is green then you would calculate the probability as:

[tex]P=\dfrac{\text{number of 4's}}{\text{total number of numbers}}\times \dfrac{\text{number of greens}}{\text{total number of colors}}\\\\\\.\ =\dfrac{4}{40}\times\dfrac{1}{4}\\\\\\.\ =\dfrac{1}{40}[/tex]

Answer:

it is C

Step-by-step explanation:

on edge

Answer:

the answer is 9

Step-by-step explanation:

24 ounce can / 8 ounces = 3 pizzas per can.

3 pizzas per can x 4 cans = 12 total  pizzas.

The answer is D.

Answer: D.) 12 pizza

Answer:

2nd one

Step-by-step explanation:

No mixing order so the second one.

You can do either

(y2-y1)/(x2-x1) or (y1-y2)/(x1-x2) which will give you rise/run in either situation

Answer:

2nd one

Step-by-step explanation:

got it right on the test and got 100%

hope this helps :)