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2 years ago

ASAP

Mathematics

1 answer:

vladimir1956 [14]2 years ago

8 0

Answer:

equilateral triangle is the answer

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Please answer quickly!!! Need help

Anna [14]

Answer:

A- the graph of f(x) is shifted 7 units down

Step-by-step explanation:

5 0

3 years ago

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

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

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

What is the component form of the vector whose tail is the point (-3,2) and whose head is the point (1, -6)?

Bess [88]

Answer:

(4, -8)

Step-by-step explanation:

The components of a vector are found by subtracting the tail from the head.

Head - Tail = (1, -6) -(-3, 2) = (1 -(-3), -6 -2) = (4, -8)

⇒ The component form is (4, -8), or maybe 4i -8j.

_____

Additional comment

There are many ways that the components of vectors can be described. The particular format you are expected to use will likely be found in your curriculum materials.

4 0

2 years ago

What postulate can be used to prove the triangles are congruent?

Komok [63]

The HL Postulate

You know that the two hypotenuses are congruent and that the two triangles each contain a shared segment in the middle (so by the reflexive property they are congruent). You have two congruent hypotenuses and two congruent legs, so you can conclude congruency by HL.

If you found this helpful, please make this the brainliest answer! :)

3 0

3 years ago

Can someone help please

lutik1710 [3]

Step-by-step explanation:

For no. 8

2x + 1°+ 33° = 90° { Being complementary angles }

2x + 34° = 90°

2x = 90° - 34°

2x = 56 °

x = 56° / 2

x = 28°

For no. 10

5x + 12 = 6x - 10 ( being vertically opposite angles)

6x - 5x = 12 + 10

x = 22

Hope it will help :)❤

6 0

3 years ago