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postnew [5]
3 years ago
13

(6,2),(9,r),m=-1 find the value of r

Mathematics
1 answer:
Bond [772]3 years ago
4 0

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (6, 2) and (9, r), the slope m = -1. Substitute:

-1=\dfrac{r-2}{9-6}\\\\-1=\dfrac{r-2}{3}\qquad\text{multiply both sides by 3}\\\\-3=r-2\qquad\text{add 2 to both sides}\\\\\boxed{r=-1}

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Scored 72 times out of 150 what percent of his shots did he score?
Sholpan [36]
Whoever scored 72 shots out of 150. Did, In fact, score 48% of their shots.
 
Solution:
*To calculate the percentage represented by a ratio simply divide the numerator by the denominator and multiply by 100. 

72:150 (72/150)

72/150 

= 0.48

0.48(100) = 48

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6 0
3 years ago
What are the coordinates of the vertex for f(x) = 3x2 + 6x + 3? (−1, 0) (3, 6) (0, −1) (6, 3)
larisa [96]

Answer:

The vertex is the point (-1,0)

Step-by-step explanation:

we have

f(x)=3x^{2} +6x+3

we know ow that

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y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

Convert the equation into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-3=3x^{2} +6x

Factor the leading coefficient

f(x)-3=3(x^{2} +2x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-3+3=3(x^{2} +2x+1)

f(x)=3(x^{2} +2x+1)

Rewrite as perfect squares

f(x)=3(x+1)^{2}

therefore

the vertex is the point (-1,0)

6 0
3 years ago
Read 2 more answers
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jonny [76]

Answer:IDK

Step-by-step explanation:I have the SAME QUESTION.

7 0
3 years ago
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Answer:

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now you divide 27.5 by 11 to find how many times you multiplied the lengths, 2.5.

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7 0
3 years ago
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Answer:

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Sphere - B

Ellipse - C

Circle - D

Triangle - E

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7 0
3 years ago
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