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2 years ago

The coordinates of point T are (7,-13). The midpoint of ST is (7,-8).Find the coordinates of point S.

Mathematics

1 answer:

RoseWind [281]2 years ago

8 0

Answer:

(7, -3)

Step-by-step explanation:

The midpoint formula is (a+b)/2

For the x coordinate: 7 = (7 + x) / 2 --> 14 = 7 + x --> x = 7

For the y-coordinate: -8 = (-13 + y)/2 --> -16 = -13 + y --> y = -3

hopefully this helps! <3

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

Complete the table by squaring each positive x-value listed 2, 3,4,5,6,7,8,9,10,11

elena55 [62]

2²=4 2×2

3²=9 3×3

4²=16 4×4

5²=25 5×5

6²=36 6×6

7²=49 7×7

8²=64 8×8

9²=81 9×9

10²=100 10×10

11²=121 11×11

4 0

3 years ago

Sarah wants to join a gym. Fitness Gym charges a $120 enrollment fee and $25 a month. Sports Gym charges no enrollment fee and $

kirill [66]

Answer:

it will take about 6 months

4 0

3 years ago

Read 2 more answers

HELP PLEASE ASAP !!!

Zepler [3.9K]

Answer:

X = 6.25 ft.

Step-by-step explanation:

From the figure:

∵ Two angles in the small flag = the corresponding angles in the large flag

∴ Two flags are similar

∴ Their sides are proportional

∴ $\frac{4}{5}=\frac{5}{x} \\ x=\frac{(5)(5)}{4}=6.25$

∴ x = 6.25 ft

8 0

3 years ago

3y-2x=6 find the tangent y

kogti [31]

Answer:

y=2x/3 + 2

Step-by-step explanation:

3y= 2x +6

y=2x/3 + 2

4 0

3 years ago