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2 years ago

Find the slope of the line going through the points (11,5) and (20,5)

1 answer:

4 0

So remember the formula for working out the slope:

(y2 - y1) ÷ (x2 - x1)

We already know two points:

(11, 5) and (20, 5) (Remember points are like (x, y)

Therefore y2 = 5 and y1 = 5 and x2 = 20 and x1 = 11

Substitute these into the formula from the start:

(y2 - y1) ÷ (x2 - x1)
(5 - 5) ÷ (20 - 11)
0 ÷ 9

And we can determine the slope is equal to 0 as 0 ÷ 9 = 0

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HELP!

maksim [4K]

Part A

$4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3$

So, the x-intercepts are $\boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}$

Part B

The vertex will be a minimum because the coefficient of $x^2$ is positive.

The x-coordinate of the vertex is $x=-\frac{-7}{2(4)}=\frac{7}{8}$

Substituting this back into the function, we get $f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}$

So, the coordinates of the vertex are $\boxed{\left(\frac{7}{8}, -\frac{289}{16} \right)}$

Part C

Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.

The graph is shown in the attached image.

7 0

1 year ago

What are the factors of 252 .

Naya [18.7K]

Answer:

252 is a composite number.

Prime factorization: 252 = 2 x 2 x 3 x 3 x 7, which can be written 252 = (2^2) x (3^2) x 7

The exponents in the prime factorization are 2, 2, and 1. Adding one to each and multiplying we get (2 + 1)(2 + 1)(1 + 1) = 3 x 3 x 2 = 18. Therefore 252 has 18 factors.

Factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Factor pairs: 252 = 1 x 252, 2 x 126, 3 x 84, 4 x 63, 6 x 42, 7 x 36, 9 x 28, 12 x 21, or 14 x 18

Taking the factor pair with the largest square number factor, we get √252 = (√7)(√36) = 6√7 ≈ 15.875

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the range of f(x)=x^3

Alecsey [184]

Infinity because it's a cubic function with no restricted range or domain

3 0

2 years ago

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2a^(2) – (4b + c); a = –3, b = –2, and c = 1

vfiekz [6]

Answer:

= 25

Step-by-step explanation:

2 (-3)^2 - (4(-2) + 1)

2 (9) - (-8 + 1)

18 - (-7)

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3 years ago

What value of b makes the polynomial below a perfect square?

Mademuasel [1]

The best and most correct answer among the choices provided by your question is the second choice or letter B. 12

Substituting b = 12:

x^2 + 12x + 36 = (x + 6) ( X + 6) ; therefore, a perfect square.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

8 0

3 years ago

Read 2 more answers