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poizon [28]
3 years ago
13

22) Find x and y in each figure.

Mathematics
1 answer:
Maurinko [17]3 years ago
4 0

Answer:

x= 10, y= 15

Step-by-step explanation:

because alternate interior angles are congruent

8x -10 = 7x

8x -7x = 10

x = 10

because straighht line form 180°

6y+20 +7x = 180

6y +20 +70 = 180

6y = 180 -90

y=90/6 = 30/2 = 15

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A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8). What is the corresponding quadratic expression? A. 2x2 −
Goryan [66]

Given:

A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).

To find:

The corresponding quadratic expression.

Solution:

If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.

A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.

The function is defined as:

P(x)=a(x-2)(x-6)                    ...(i)

Where, a is a constant.

The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.

Substituting x=4 and P(x)=8 in (i).

8=a(4-2)(4-6)

8=a(2)(-2)

8=-4a

Divide both sides by -4.

\dfrac{8}{-4}=a

-2=a

Putting a=-2 in (i), we get

P(x)=-2(x-2)(x-6)

P(x)=-2(x^2-6x-2x+12)

P(x)=-2(x^2-8x+12)

P(x)=-2x^2+16x-24

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3 0
3 years ago
Find the value of this expression if x=-7. x^2 -1 /x+4
belka [17]

Answer:

-16

Step-by-step explanation:

x^2 -1 /x+4

By putting the value of x in the expression as x = -7

= (-7)^2 - 1/ -7 +4

= (+49) - 1/ -3

= 48/-3

= -16

6 0
3 years ago
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