Ask question

Ask question

All categories

3 years ago

13

Find the vertex of y=-x^2+6x-12

1 answer:

Debora [2.8K]3 years ago

8 0

You find the x coordinates using x = -b/2a = -6/2(-1) = 3

Substitute 3 in the equation and find y

y = -(3^2) + 6(3) - 12 = -9 + 18 - 12 = -3

Vertex (3,-3)

You might be interested in

What are the first five terms of the sequence defined by the given function?

kenny6666 [7]

Answer: B. -6, -4, -2, 0, 2

Step-by-step explanation: Use the attachment to help you with your answer.

Anyways, have an amazing day!

8 0

2 years ago

Find the third side in simplest radical form:<br> 25

Gre4nikov [31]

Answer:

<h3> $\boxed{ \bold{24}}$ </h3>

Step-by-step explanation:

$\mathsf{given}$

$\mathsf{hypotenuse(h) = 25}$

$\sf{perpendicular (p) = 7}$

$\sf{base(b) = }$ ?

Now, Using Pythagoras theorem

$\sf{{h}^{2} = {p}^{2} + {b}^{2} }$

plug the values

⇒ $\sf{ {25}^{2} = {7}^{2} + {b}^{2} }$

Evaluate the power

⇒ $\sf{625 = 49 + {b}^{2} }$

Swap the sides of the equation

⇒ $\sf{49 + {b}^{2} = 625}$

Move constant to right hand side and change it's sign

⇒ $\sf{ {b}^{2} = 625 - 49}$

Calculate the difference

⇒ $\sf{ {b}^{2} = 576}$

Squaring on both sides

⇒ $\sf{b = 24}$

Hope I helped!

Best regards!

8 0

3 years ago

PPPPPPPPlease help me (20 points!!!!)

Vika [28.1K]

$\longrightarrow{\mathfrak{\frac{-9}{6}÷\frac{3}{-2}}}$

$\longrightarrow{\sf{\frac{-\cancel{9}}{\cancel{6}}\times\frac{-\cancel{2}}{\cancel{3}}}}$

$\longrightarrow{\sf{\frac{3}{3}}}$

$\longrightarrow{\boxed{\bf{1}}}$

Identity applied -

$\star{\:\:\:\:\:\:\boxed{\bf{\frac{a}{b}÷\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}}}}$

4 0

3 years ago

1. What is the value of x? Show all of your work.

asambeis [7]

AB^2 + BC^2 = AC^2
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117

Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9
$\sqrt{81} = 9$
Therefore AB is 9 cms.

3 0

3 years ago

Help me pleaseeee with this question

kenny6666 [7]

Answer:

B. 7

Step-by-step explanation:

Count every number less than 70 (count the leaf plot numbers if that helps).

62,62,63,64,54,56,56 = 7 drivers that travel less than 70 mph

8 0

2 years ago