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sesenic [268]
3 years ago
8

Find the x-intercepts of the parabola with vertex (7,-12) and y-intercept (0,135).

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

x=9 and x=5

OR

(9,0) and (5,0)

Step-by-step explanation:

<u>Use vertex form to solve for the unknown variable</u>

y=a(x-h)^2+k\\\\135=a(0-7)^2-12\\\\147=a(-7)^2\\\\147=49a\\\\3=a

<u>Use the new equation to find the x-intercepts</u>

<u />y=3(x-7)^2-12\\\\0=3(x-7)^2-12\\\\12=3(x-7)^2\\\\4=(x-7)^2

2=x-7\\9=x

-2=x-7\\5=x

Therefore, the x-intercepts of the parabola are (9,0) and (5,0). Feel free to review the attached graph for more information.

You might be interested in
ABC is isosceles.<br>m &lt; a = 3x + 40 and m &lt; c = x + 50<br>what is m &lt; a ??​
il63 [147K]

Answer:

  • 55°

Step-by-step explanation:

<u>It is assumed the angles A and C are congruent:</u>

  • 3x + 40 = x + 50
  • 3x - x = 50 - 40
  • 2x = 10
  • x = 5

m∠A = 3*5 + 40 = 55°

7 0
3 years ago
Read 2 more answers
If measure of angle T= (2x + 85), measure of angle V= (5x + 29), and
netineya [11]

Answers:

Angle T = 79 degrees

Angle V = 14 degrees

=========================================================

Work Shown:

T + V = 93

(2x+85) + (5x+29) = 93

7x+114 = 93

7x = 93-114

7x = -21

x = -21/7

x = -3

This x value is used to find each angle mentioned.

  • Angle T = 2x+85 = 2(-3)+85 = -6+85 = 79 degrees
  • Angle V = 5x+29 = 5(-3)+29 = -15+29 = 14 degrees

As a check, T+V = 79+14 = 93 which confirms our answers.

7 0
2 years ago
Can i have help please NO LINKS!!​
kumpel [21]

Hello! :D

Equation: \frac{3.5(3.7 -2.2)}{4(-1.75)}

The simplified answer: -0.75

Hope this helps! Have a wonderful day! :D

3 0
3 years ago
Ooooooooof I need help
snow_lady [41]

Answer:

a) x = -1 and y = -10

Step-by-step explanation:

The first part says find the value of y when the value of x is -3. Then the second part of the question is to find the value of x when the value of y is 2.

so lets solve part a)

y=6x+8\\y=6(-3)+8\\y=-18+8\\y=-10\\\\Now\ when\ y=2\ find\ x\ \\y=6x+8\\2=6x+8\\2-8=6x\\-6=6x\\-6/6=x\\-1=x\\

So answer to part a is x = -1 and y = -10

similarly try the other parts.

6 0
3 years ago
Reflect (7,3) in (a) the x-axis and (b) the y axis
Monica [59]
Reflecting the x axis, we multiply the y value by -1, getting (7, -3)

Reflecting the y axis, we multiply the x value by -1, getting (-7, 3)
8 0
3 years ago
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