Answers
well, the assumption is that is a rectangle, namely it has two equal pairs, so we can just find the length of one of the pairs to get the dimensions.
hmmmm let's say let's get the length of the segment at (-1,-3), (1,3) for its length
and
the length of the segment at (-1, -3), (-4, -2) for its width
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{length}{L}=\sqrt{[1-(-1)]^2+[3-(-3)]^2}\implies L=\sqrt{(1+1)^2+(3+3)^2} \\\\\\ L=\sqrt{4+36}\implies L=\sqrt{40} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{width}{w}=\sqrt{[-4-(-1)]^2+[-2-(-3)]^2}\implies w=\sqrt{(-4+1)^2+(-2+3)^2} \\\\\\ w=\sqrt{9+1}\implies w=\sqrt{10} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{A=Lw}\implies \sqrt{40}\cdot \sqrt{10}\implies \sqrt{400}\implies \boxed{20}[/tex]
Related Questions
budget planning
Ryan is trying to save money to buy a home. He wants to write out a budget for himself so he can put some money into savings each month
Answers
he has to make a bank account and it'll help in the long run
Divide.3 1/2÷2 1/4 Enter your answer, as a mixed number in simplest form, in the box.
Answers
Answer: the exact form would be 14/9, decimal form would be 1.5 and the mixed number for would be 1 5/9
Step-by-step explanation:
Answer:
1 5/9
Step-by-step explanation:
3 1/2 divided by 2 1/4
convert to fractions; 7/2 divided by 9/4
invert the last fraction; 7/2 * 4/9
cross multiply; 7/1 * 2/9
multiply; 14/9
Convert to a mixed number; 1 5/9
NEED HELP FAST!!!!!!!!!!
Answers
Answer:
h = 10 m
Step-by-step explanation:
We are given the following formula of the area of a trapezoid:
[tex]A=\frac{1}{2} (b+c)h[/tex]
where [tex]h[/tex] is the height of the trapezoid and [tex]b[/tex] and [tex]c[/tex] are its bases.
Re-arranging the given formula to solve for h:
[tex]A=\frac{1}{2} (b+c)h[/tex]
[tex]2A=(b+c)h[/tex]
[tex]h=\frac{2A}{(b+c)}[/tex]
Finding the height of the trapezoid given the bases 20 m, 7 m and area 135m^2.
[tex]h=\frac{2 \times 135}{(7+20)}[/tex]
h = 10 m
ANSWER
h=10m
EXPLANATION
The given formula is
[tex]A = \frac{1}{2} (b + c)h[/tex]
We multiply through by 2 to get,
[tex]2A =(b + c)h[/tex]We divide both sides by (b+c) to get,
[tex] \frac{2A}{b + c}=h[/tex]
Or
[tex]h=\frac{2A}{b + c} [/tex]
[tex]h=\frac{2 \times 135}{20 + 7} [/tex]
We simplify to get,
[tex]h=\frac{270}{27} [/tex]
Therefore
[tex]h = 10[/tex]
Now if b=20, c=7 and A=135, then,
Two similar rectangular prisms have a scale factor of 3.4/5.1 .Find the ratio of their volumes.
Answers
[tex] \frac{3.4}{5.1} = 0.666667[/tex]
Your answer is 0.6 repeating
A circle with radius of 2cm sits inside a circle with radius of 4cm What is the area of the shaded region
Answers
The area of the shaded region between a larger circle with a radius of 4 cm and a smaller circle with a radius of 2 cm is 12π cm². This is calculated by subtracting the area of the smaller circle from the area of the larger circle.
This concerns the area of the shaded area between two circles, one with a radius of two centimetres and the other with a radius of four centimeters.
In order to determine this, we first compute the area of each circle using the formula πr², where r is the circle's radius.
Let's start by calculating the area of the bigger circle: π(4cm)² = 16π cm² is the area.
In a similar manner, we can calculate the smaller circle's area: π(2cm)² = 4π cm² is the area.
The area of the shaded region is equal to the area of the larger circle minus the area of the smaller circle, or area = 16π cm² - 4π cm² = 12π cm².
3x2-|y| When x=-5 and y =-2
Answers
I'm going to assume you're saying 3x to the power of 2. So first, apply the values of the variables to the equation just as shown:
3(-5)^2 - |-2|
So first, do -5 to the power of 2:
(-5)(-5)=25
Then, multiply 3 to 25:
3*25=75
Now, the absolute value of y is the absolute value of -2. The aboslute value of any number is its positive value, so now we are left with 75-2
75-2=73
73 is your answer.
Indicate a general rule for the nth term of this sequence.
-6a, -3a, 0a, 3a, 6a. . .
an = 3an + 9a
an = -3an - 9a
an = -3an + 9a
an = 3an - 9a
Answers
difference=3a
so an=-6a+(n-1)3a
=3an-9a
Answer:
Option D. [tex]a_{n}=3an-9a[/tex] is the answer.
Step-by-step explanation:
The given sequence is -6a, -3a, 0a, 3a, 6a...........
Since the given sequence is having a common difference d = -3a - (-6a) = -3a + 6a = 3a
Therefore, the given sequence is an arithmetic sequence.
And for an arithmetic sequence general rule or explicit formula is given by
[tex]T_{n}=a+(n-1)d[/tex]
Where a = first term of the sequence
d = common difference
n = number of term which we have to find
Now we put the values from the given sequence
[tex]T_{n}=-6a+(n-1)3a[/tex]
[tex]T_{n}=-6a+3an-3a[/tex]
[tex]T_{n}=3an-9a[/tex]
Option D. [tex]a_{n}=3an-9a[/tex] is the answer.
Factor the expression 8x^3y-8x^2y-30xy
Answers
Find the Greatest Common Factor (GCF)
GCF = 2xy
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2xy(8x^3y/2xy + -8x^2y/2xy + -30xy/2xy)
Simplify each term in parenthesis
2xy(4x^2 - 4x - 15)
Split the second term in 4x^2 - 4x - 15 into two terms
2xy(4x^2 + 6x - 10x - 15)
Factor out common terms in the first two terms, then in the last two terms;
2xy(2x(2x + 3) -5(2x + 3))
Factor out the common term 2x + 3
= 2xy(2x + 3)(2x - 5)
An isosceles right triangle has sides that are x+2 units long and a hypotenuse that is 8 units long. What is the length of the missing sides of the triangle
Answers
Answer:
In an isosceles right triangle, the hypotenuse is larger than the sides by a factor of the square root of 2.
So, if the hypotenuse is 8 then the sides are 8 / (sq root of 2) = 5.6568542495
Step-by-step explanation:
How many different sleeve/size/color/artwork combination are possible
Answers
Answer:
128
Step-by-step explanation:
2*4*4*4= 128
Answer: Option D
( D) 128
Step-by-step explanation:
Which inequality is true for x = 2? A) 6x + 20 < 29 B) 7x − 10 < 11 C) 14x + 10 < 37 D) 15x − 18 < 12
Answers
For this case we must evaluate [tex]x = 2[/tex] in each of the inequalities and verify if the inequality is met or not:
Option A:
[tex]6x + 20 <29\\6 (2) +20 <29\\12 + 20 <29\\32 <29[/tex]
It is not fulfilled!
Option B:
[tex]7x-10 <11\\7 (2) -10 <11\\14-10 <11\\4 <11[/tex]
Is fulfilled!
Option C:
[tex]14x + 10 <37\\14 (2) +10 <37\\28 + 10 <37\\38 <37[/tex]
It is not fulfilled!
Option D:
[tex]15x-18 <12\\15 (2) -18 <12\\30-18 <12\\12 <12[/tex]
It is not fulfilled!
So, option B is correct, inequality is met
ANswer:
Option B
Final answer:
Upon substituting x with 2 in each of the given inequalities, option B (7x − 10 < 11) is the only true inequality, making it the correct answer.
Explanation:
To determine which inequality is true for x = 2, let's substitute x with 2 in each option:
A) 6x + 20 < 29 becomes 12 + 20 < 29, which simplifies to 32 < 29. This is false.B) 7x − 10 < 11 becomes 14 − 10 < 11, which simplifies to 4 < 11. This is true.C) 14x + 10 < 37 becomes 28 + 10 < 37, which simplifies to 38 < 37. This is false.D) 15x − 18 < 12 becomes 30 − 18 < 12, which simplifies to 12 < 12. This is false since 12 is not less than 12.Therefore, option B) 7x − 10 < 11 is the true inequality when x = 2.
Alan and Samuel each have a 30-year mortgage. Both mortgages were approved at the same time. Alan pays 5 percent interest, while Samuel only pays 3.5 percent.
If Alan and Samuel are the same age and make the same amount of money, why is Alan paying more in interest?
a) Samuel has a better credit score, so his interest rate is lower.
b) Samuel has more credit cards, so he recieves a better rate.
c) Alan has a better credit score, so his interest rate is higher.
d) Alan has a longer credit history, so he recieves a worse rate.
Answers
The answer would be c
Answer:
a) Samuel has a better credit score, so his interest rate is lower.
Step-by-step explanation:
Alan and Samuel both are same age and make same amount of money.
They both have a 30-year mortgage. But Alan pays 5 percent interest, while Samuel only pays 3.5 percent.
There correct answer here will be - Samuel has a better credit score, so his interest rate is lower.
When a person has a good credit rating, that means he has never defaulted any payment and has always paid his loan on time. He must be a trusted customer for the bank that is why he got a lower interest rate than Alan.
What value of x makes this equation true? -1/4x-12=x+3
Answers
Answer:
x = -12
Step-by-step explanation:
Step 1: Isolate x
1/4x + x = -12 - 3
Step 2: Combine like terms
5/4x = -15
Step 3: Simplify
x = (-15)(4/5)
x = -12
Answer: -12
Step-by-step explanation:−1 /4 x−12=x+3
Step 1: Subtract x from both sides.
−1 /4 x−12−x=x+3−x
−5 /4 x−12=3
Step 2: Add 12 to both sides.
−5 /4 x−12+12=3+12
−5 /4 x=15
Step 3: Multiply both sides by 4/(-5).
( 4 /−5 )*( −5 /4 x)=( 4 /−5 )*(15)
x=−12
Which expressions are equivalent to (k^(1/8))^(−1) ?
choose all answers that apply:
a. (k^(-1))^(1/8)
b. (8_/`k)^(-1)
c. k^(-1/8)
d. none of the above
* _/` is a radical with 8 as the index and k as the radicand
Answers
The first option is correct: we have
[tex]\left(k^{\frac{1}{8}}\right)^{-1} = \dfrac{1}{k^{\frac{1}{8}}} = \dfrac{1}{\sqrt[8]{k}},\quad \left(k^{-1}\right)^{\frac{1}{8}} = \left(\dfrac{1}{k}\right)^{\frac{1}{8}} = \dfrac{1}{\sqrt[8]{k}}[/tex]
The second option is also correct, because it simply applies the definition
[tex]k^{\frac{1}{n}} = \sqrt[n]{k}[/tex]
The third option is also correct, because it applies the rule
[tex](a^b)^c = a^{bc}[/tex]
The expressions equivalent to (k^(1/8))^(-1) are (k^(-1))^(1/8) and k^(-1/8), matching options a and c from the given choices. These are determined by correctly applying the exponent multiplication rule.
Explanation:The student is dealing with an expression involving exponents and radicals, specifically focused on understanding the rules for combining and simplifying these expressions. The expression in question is (k^(1/8))^(-1), which we'll simplify in a step-by-step fashion.
The rule of exponents we need to apply here is (a^m)^n = a^(m*n). When applying this rule to the given expression we get:
(k^(1/8))^(-1) = k^(1/8 * -1)
Simplify the exponent:
k^(1/8 * -1) = k^(-1/8)
So, the equivalent expression is:
k^(-1/8)
Now let's examine the choices given:
Therefore, the correct answers are a and c.use an inequality symbol to compare -17 blank -1
Answers
[tex]\text{Hey there!!}[/tex]
[tex]\text{Negatives are BELOW 0}[/tex]
[tex]\text{If you have a number line you would see that the negatives goes on the LEFT}[/tex] [tex]\text{SIDE of the number line, while the POSITIVES are on the RIGHT SIDE}[/tex]
[tex]\text{If 17 is GREATER THAN 1 on the number line than -17 is BIGGER THAN -1 in this case}[/tex]
[tex]\boxed{\boxed{\text{Answer:-17}<-1}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Help plzzz! I need help with this question. Thx!
The average commute times for employees of a large company is 23 minutes.
The commute time of 12 employees are
25, 33, 26, 29, 17, 29, 42, 19, 15, 52, 11, and 14.
Answers
Answer:
Well to find the Mean you Add all of the numbers up and Divide by How many numbers there are
The sample mean is 26 mins and the population mean is 23 mins.
What is sample mean?An average of a group of data is referred to as a sample mean.
What is population mean?The population mean is an average of a group characteristic.
The population mean = 23 minutes(given)
Sample mean = (25 + 33 + 26 + 29 + 17 + 29 + 42 + 19 + 15 + 52 + 11 + 14) / 12
Sample mean = 312 / 12
Sample mean = 26 minutes
Hence, the value of sample mean is 26 minutes and the value of population mean is 23 minutes.
Learn more about mean on:
https://brainly.com/question/1136789
#SPJ2
Simplify:
(1/2k)(4k) + 12 =
if i put choices you guys would just guess
Answers
Answer:
2k^2 + 12.
Step-by-step explanation:
(1/2k)(4k) + 12
= 1/2 *4 k^2 + 12
= 2k^2 + 12.
Answer:
Step-by-step explanation:
1/2k (4k) + 12= 0
4k/2k + 12 = 0
2k + 12 = 0
2k = -12
Divide by 2 on both sides
K = -6
Pamela is 11 years younger than Jerry the sum of their ages is 63 what is Jerry's age?
Answers
Answer:
37
Step-by-step explanation:
Pamela's age can be repesented with the variable, p .
Pamela is 11 years younger than Jerry. Jerry's age can be represented with the expression p + 11.
So,
Pamela: p
Jerry: p + 11
If their total, combined age is 63, the following equation can be used to represent their ages.
p + (p + 11) = 63
Now, solve.
p + (p + 11) = 63
p + p + 11 = 63
2p + 11 = 63
2p = 52
p = 26
Now, remember that 26 is how old Pamela is. We're looking for Jerry's age.
We established before that Jerry's age can be represented with the expression p + 11.
We know what p is, so substitute the value of p into the equation.
p + 11
26 + 11
37
So, Jerry is 37 years old.
If you'd like to double check your answer, add 37 [Jerry's age] and 26 [Pamela's age] and you get 56.
I hope this helps you!!! :)
-3 < n < 1 what is the possible value of n
Answers
Answer:
see explanation
Step-by-step explanation:
Given
- 3 < n < 1
Then possible integer values of n are n = - 2, - 1, 0
Use the product of powers property to simplify the numeric expression 41/3 • 41/5
Answers
Answer:
the answer is 4 8\15Help please. Write a formula for the perimeter of an equilateral triangle. Evaluate the formula for the side length of 3.5 cm.
Answers
Answer:
A
Step-by-step explanation:
the side of the triangle is 3.5 cm. all 3 sides are the same length because it is an eq. triangle. 3.5*3=9+1.5=10.5
please someone help me
Answers
Answer:
it intercepts the y-axisStep-by-step explanation:
Look at the picture.
The graph of an exponential function [tex]f(x)=a^x[/tex], a > 0
is above the x-axis and lie in I and II Quarter.
8+4(2x+7)=2(2+6x) and check it please
Answers
8 + 4 (2x+7) = 2 (2+6x), 4 (2x+7) + 8 = 2 (6x+2), (4 x 2x + 4x7) + 8 = 2 (6x+2)
x = 9
A middle school student is doing a math project in which she has to make a graph of the different ways students get to school. To collect her data, she stands under the bus canopy and asks 100 students how they normally get to school. Is her data valid? Why or why not?
Answers
Answer:no
Step-by-step explanation: if they are all under the bus canopy they obviously take the bus make the data bias
A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which event have a probability greater than 1/5
Answers
Answer:
choosing 1 red marble
choosing 1 white marble, replacing it, and choosing another white marble
and choosing 1 white marble
find the missing term of each pair of equivalent ration 125:80= ____:48
Answers
Answer:
The answer would be 75 because of cross multiplication.
Answer:
75
Step-by-step explanation:
125/80=1.5625
48x1.5625=75
Use substitution to solve the linear system of equations.
equations:
6x + 4y = 14
y = 5
Answers
Answer:
Step-by-step explanation:
6x+4y=14
y=5
6x+4(5)=14
6x+20=14
6x=-6
x=-1
Step 1: Where you see a y in the equation 6x + 4y =14 replace it with 5. This will help you find x
6x + 4(5) = 14
6x + 20 = 14
Step 2: Combine like terms by subtracting 20 to both sides
6x + (20-20) = 14-20
6x = -6
Step 3: Isolate x by dividng 6 to both sides
[tex]\frac{6x}{6} = \frac{-6}{6}[/tex]
x = -1
Point of intersection of these two linse is ( -1 , 5 )
Hope this helped!
what is 3× + 4 (× +2) +4y
Answers
Expand
3x + 4x + 8 + 4y
Collect like terms
(3x + 4x) + 8 + 4y
Simplify
= 7x + 8 + 4y
Answer:
7x + 4y + 8
Step-by-step explanation:
Please be more explicit regarding your goal. "What is ... " could be interpreted in several ways. I will assume you meant, "What is the simplest form of 3x + 4(x + 2) + 4y?" Finally, please use the regular character, " x, " when you mean a variable and use the character " × " for multiplication.
What is the simplest form of 3x + 4(x + 2) + 4y? Do the indicated multiplication. We get: 3x + 4x + 8 + 4y, which in turn is 7x + 4y + 8.
Can someone help me????
Answers
Answer:
in order
Step-by-step explanation:
1) 1
2) 5
3) 2
You are looking for the x values of this "rule". It gives you the y-values so all you have to do is plug the y-values into the rule and solve for x
y = 4 so...
4 = x + 3
4 - 3 = x + (3-3)
1 = x + 0
x = 1
When y is 4 then x is 1
y = 8 so...
8 = x + 3
8 - 3 = x + (3 - 3)
x = 5
When y is 8 then x is 5
y = 5 so...
5 = x + 3
5 - 3 = x + (3 - 3)
2 = x + 0
x = 2
When y is 5 then x is 2
Hope this helped!
~Just a girl in love with Shawn Mendes
Which functions have a y-intercept that is greater than the y-intercept of the function g(x) = |x + 3| + 4? Check three options.
f(x) = –2 (x – 8)2
h(x) = –5 |x| + 10
j(x) = –4(x + 2)2 + 8
k(x)=1/4(x-4)^2+4
m(x)=1/4 |x-8| +6
Answers
Answer:
h(x) = –5 |x| + 10
k(x)=1/4(x-4)^2+4
m(x)=1/4 |x-8| +6
Step-by-step explanation:
The given function is:
g(x) = |x + 3| + 4
At y-intercept x=0,
g(0) = |0 + 3| + 4
g(0) = 3 + 4=7
The y-intercept of this function is 7.
We look for the functions with y-intercepts greater than 7.
[tex]f(x)=-2(x-8)^2[/tex]
[tex]f(0)=-2(0-8)^2[/tex]
[tex]f(0)=-128[/tex]
h(x) = –5 |x| + 10
h(x) = –5 |0| + 10=10
[tex]j(x)=-4(x+2)^2+8[/tex]
[tex]j(0)=-4(0+2)^2+8=-8[/tex]
[tex]k(x)=\frac{1}{4}(x-4)^2+4[/tex]
[tex]k(0)=\frac{1}{4}(0-4)^2+4=8[/tex]
m(x)=1/4 |x-8| +6
m(0)=1/4 |0-8| +6=8
Answer with explanation:
The given function is
g(x)=|x+3|+4
The meaning of Y intercept is the distance between origin and Point where the curve cuts Y axis.
In , g(x), put x=0
g(0)=|0+3|+4
=3+4
=7
So, Length of Y intercept =7 unit
2.
f(x)=-2(x-8)²
f(0)=-2×(0-8)²
= -2 × 64
= -128
Length of Y intercept =-128 unit
3.
h(x)=-5|x|+10
h(0)=-5 × |0| +10
=10
Length of Y intercept =10 unit
4.
j(x)=-4(x+2)²+8
j(0)=-4×(0+2)²+8
=-4 × 4+8
= -16 +8
= -8
Length of Y intercept =-8 unit
4.
[tex]\rightarrow k(x)=\frac{1}{4} \times (x-4)^2+4\\\\\rightarrow k(0)=\frac{1}{4} \times (0-4)^2+4\\\\\rightarrow k(0)= 4+4\\\\=8[/tex]
Length of Y intercept =8 unit
5.
[tex]\rightarrow m(x)=\frac{1}{4} \times |x-8|+6\\\\\rightarrow k(0)=\frac{1}{4} \times |0-8|+6\\\\\rightarrow k(0)= 2+6\\\\=8[/tex]
Length of Y intercept =8 unit
⇒ h(x),k(x) and m(x) has y intercept greater than y-intercept of the function g(x) = |x + 3| + 4.