The slope of the line below is 2. use the coordinates of the labeled point(3,10) to find the point-slope equation of the line
A. y-10=-2(x-3)
B. y+10=2(x+3)
C. y-10=2(x-3)
D. y+10=-2(x+3)
The point-slope equation of the line is option (C), y-10 = 2(x-3) is the correct answer.
What is slope of a line?The slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the line. It is the ratio of the vertical change to the horizontal change between any two distinct points on a line.
For the given situation,
The slope of the line, m = 2
The coordinates of the labeled point, (x1, y1) = (3,10)
The point-slope equation of the line is
[tex](y-y1)=m(x-x1)[/tex]
On substituting the above values,
⇒ [tex]y-10=2(x-3)[/tex]
Hence we can conclude that the point-slope equation of the line is option (C), y-10 = 2(x-3) is the correct answer.
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Simplify (10 + 3i)(5 – 2i) ...?
The product of a number and 3, increased by 5, is 7 less than twice the number. which equation can be used to find this number, n?
The equation which can determine the number n for the given condition is 3n + 5 = 2n - 7 and that number will be -12.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Given that,
The product of a number and 3 = 3n
Increased by 5 = 3n + 5
7 less than twice the number = 2n - 7
Therefore,
3n + 5 = 2n - 7
3n - 2n = -7 - 5
n = -12
Hence "The equation which can determine the number n for the given condition is 3n + 5 = 2n - 7 and that number will be -12".
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Leaving hints or clues about the future events would be considered:
symbolism
metaphor
irony
foreshadowing < this one right?
I need help on geometry proofs<br />
Laura is baking a cake. The recipe says that she has to mix 64 grams of chocolate powder to the flour. Laura knows that 1 cup of that particular chocolate powder has a mass of 128 grams. She added two over three of a cup of chocolate powder to the flour. Should Laura add more chocolate powder to make the exact recipe or did she go over and by what amount?
She went over by one over three of a cup
She needs to add one over three of a cup
She needs to add one over six of a cup
She went over by one over six of a cup
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Evaluate the function rule for the given value.
y = 8 ∙ 3^x for x = 4
A: 96
B: 1944
C: 647
D: 648
Jared is 10 years old and Peter is 15 years old. Together they run 150 yards. How far does each brother run.
Which is larger 5 miles or 26,300 ft?
Solve the inequality W > Y plus H all divided by P for H.
Answer:
WP − Y > H
Step-by-step explanation:
I did the test and got it right
What is the common difference between the elements of the arithmetic sequence below?
–18, –22.5, –27, –31.5, –36
What is the solution to this system: y=2x+3 and -4x+2y=6
No Solutions
Infinite Solutions
(2,4)
(3,5)
According to the diagram, a 13-foot ladder leans against a 12-foot wall. The distance from the base of the ladder to the base of the wall is 5 feet. Based on this information, which trigonometric ratio has the value 125?
tan C
cos C
tan A
sin A
The correct answer is tan A
Answer:
tan A
Step-by-step explanation:
Using the notation SOH CAH TOA
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
from the triangle,
hyp = 13 while opp and adj are 12 and 5 respectively
therefore, the ratio 12:5
= tan = opp/adj = 12/5
Which of these is the first step in constructing a congruent segment?
a.
draw a ray
c.
label two points
b.
draw a point
d.
measure the segment
Answer:
d. measure the segment
Step-by-step explanation:
Two segment is said to be congruent segment if the measure of both segments are same and identical to each other.
So, for drawing congruent segments firstly we have to measure the segment.
Then draw a point.
Then label two points
and lastly draw a ray.
What is the radius of a sphere that has a surface area of 196π sq ft?
allyson and adrian have decided to connect their ankles with a bungee cord; one end is tied to each person's ankle. the cord is 30 ft long but stretches to 90 ft. they both start from the same location. allyson moves 10 ft/sec and adrian moves 8 ft/sec in the directions indicated. a) after 2 seconds will the slack in the cord be used up? b)determine when the bungee cord first becomes tight, where are the girls located? c) when will the bungee cord first touch the corner of the building? (using similar triangles)
Final answer:
Allyson and Adrian have a 30 ft long bungee cord that stretches to 90 ft. After 2 seconds, the slack in the cord will not be used up. The bungee cord first becomes tight after 3 seconds, when Allyson reaches the end of the cord and Adrian has stretched it completely. The bungee cord first touches the corner of the building when Adrian has traveled twice the height of the building.
Explanation:
Physics - Elasticity and Motion:
a) After 2 seconds, Allyson would have moved a total distance of 10 ft/sec × 2 sec = 20 ft. Adrian would have moved a total distance of 8 ft/sec × 2 sec = 16 ft. Since the cord is 30 ft long and stretches to 90 ft, after 2 seconds, the slack in the cord would not be used up.
b) To determine when the bungee cord first becomes tight, we need to find the time it takes for one person to reach the end of the cord and the other person to stretch the cord completely. Allyson will take 30 ft ÷ 10 ft/sec = 3 sec to reach the end, while Adrian will take 30 ft ÷ 8 ft/sec = 3.75 sec to stretch the cord completely. Therefore, the bungee cord first becomes tight after 3 seconds, when Allyson is at the end of the cord and Adrian has stretched it completely.
c) To determine when the bungee cord first touches the corner of the building, we can use similar triangles. The ratio of the stretched length of the cord to the original length is the same as the ratio of the horizontal displacement to the height of the building. Let's assume the height of the building is H. Then, (90 ft - 30 ft) ÷ 30 ft = x ÷ H, where x is the horizontal distance traveled by Adrian. Solving for H, we find H = (90 ft - 30 ft) ÷ 30 ft × x = 2x. Therefore, the bungee cord first touches the corner of the building when Adrian has traveled twice the height of the building.
Which expression has the most number of significant figures?
A. 190
B. 1.8
C. 26
D. 206
Help!!!!!: Ben opened a credit card at a department store with an APR of 27.99% compounded monthly. What is the APY on this credit card?
2.33%
31.88%
39.27%
55.98%
Answer:
31.88%
Step-by-step explanation:
The monthly added compound interest will be:
3.89 %
The new APY interest on the credit card = 3.89 + 27.99
= 31.88 %
The present value of $12,000 for six years compounded at 6% semiannually is
let f(x) = x 8 and g(x) = x2 - 6x - 7. find f(g(2)). select one:a. -7b. -3c. 10d. 33
mehek14 i would love for you to be the one the help me other ppl u try 2 c:
QUESTION 1
(-3X) + 40 = 38
QUESTION 2
5(X + 6) = 50
QUESTION 3
(1/4)X + 24 = 36
QUESTION 4
(-3/4) X + 2 = (½ )X + 6
QUESTION 5
3X + 14 = 6X +11
QUESTION 6
Using substitution, determine if the given value is the solution to the equation.
(2/3)X + 20 = 100 ; X = 120
Yes
No
QUESTION 7
(-16X) - 34 = 30 ; X = 4
Yes
No
QUESTION 8
3X - 72 = (-2) + X; x=70
yes
no
QUESTION 9
Tony and Kara were keeping track of the ball game. At the end of the game, Tony thought that the home team had scored 5 runs, but Kara thought that they scored 3 runs. The announcer said that the home team's final score was the same as the solution to the equation: 45X - 16 = 5X +104.
Who has the correct score?
Tony
Kara
Neither
QUESTION 10
Michelle wanted to buy a small bag of popcorn. There were two signs by the popcorn bin. One sign said that the large popcorn BAG cost $1.50. The other sign listed the small popcorn bag but the price was missing. The price of the small popcorn bag is the same as the solution to the equation: 4(X + 7) = 30.
What is the price of the small popcorn bag?
Henry initially has 523 baseball cards. He buys 24 cards each month.
What is a explicit rule for the number of baseball cards Henry has in n months?
Answer:
I know I am answering 5 years late but...
the correct answer is
an= 24n + 499
I go to k12 and got this correct on my test :))
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Zach is 4 years older than twice his sister Maya’s age.
Let m represent Maya’s age.
Which expression represents Zach’s age?
2m
2m + 4
m + 4
4m + 2
Answer:
It's 2m + 4
Step-by-step explanation:
graph of y=3 tan x ...?
logarithm equation. Show the steps to solve. 400/1+e^-x=350
help me please i dont know how to solve this
why must s-phase occur before mitosis?
...?
A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 640t. After how many seconds does the projectile take to reach its maximum height? Show your work for full credit.
Convert 96.5 decaliters to hectoliters
Which shows the conversion of 0.56 mm to inches?
There is 0.03937 inch in 1 millimeter.
A.
0.56 mm × 0.03937 in./mm = 0.022 inches
B.
0.56 mm × 0.03937 in./mm = 2.2 × 10^-3 inches
C.
0.56 mm + 0.03937 in./mm = 0.59937 inches
D.
0.56 mm ÷ 0.03937 in./mm = 14.22 inches