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katen-ka-za [31]
2 years ago
7

I need these answered fast can anyone help. will give you brainliest.

Mathematics
1 answer:
bezimeni [28]2 years ago
3 0

there is four lines of symmetry and yes angles ABC and DEF are ridget motion. the ridget moition is four units to the left and three units down. I hope this helps!!!

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Consider h(x)=x^2+8+15. identify its vertex and y-intercept.
OleMash [197]

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, [x = \frac{-b}{2a}, h(\frac{-b}{2a})].

<h3>Use the equation:  [x = \frac{-b}{2a}, h(\frac{-b}{2a})]</h3>

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for <em>a</em> and <em>b</em> into the equation to solve for the x-coordinate of the vertex.

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

x = \frac{-8}{2(1)}

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the <u>y-coordinate of the vertex</u>:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

<h3>Solve for the Y-intercept:</h3>

The <u>y-intercept</u> is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

5 0
2 years ago
Adam is training a group of cyclists. Each cyclist completes a 10-kilometer time trial during training. Adam records the times,
nydimaria [60]

The histogram which shows the results of the time trial is option B

<h3>Histogram</h3>

Given data:

12:32, 12:46, 13:30, 15:03, 13:43, 13:46, 14:20, 14:29, 12:34, 14:43, 15:26, 16:02, 16:16, 14:38, 16:55, 17:10, 14:26, 17:21, 17:58, 13:30

Grouping of data,:

12:00 - 12:59 = 3

13:00 - 13:59 = 4

14:00 - 14:59 = 5

15:00 - 15:59 = 2

16:00 - 16:59 = 3

17:00 - 17:59 = 3

  • The frequency is represented on the y-axis(number of cyclist)
  • The time is represented on the x-axis

Learn more about histogram:

brainly.com/question/9388601

#SPJ1

7 0
1 year ago
F(x) = x2 + 1<br> What is f(f(x))?<br> O A+ 2x2+1<br> A+ 2x2+2<br> O A +2<br> O A+1
Gennadij [26K]

Answer:

Your answer is x^4 + 2 x^2 +2

Hope that this is helpful. Vote and like it

6 0
2 years ago
Suppose that there were a strong correlation between the variables d and f.
Anastaziya [24]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which statement describes the solutions of the equation? 4x/3x+1 = x/2x+10
stiks02 [169]

Answer:

<h3> The equation has one valid solution and no extraneous of solutions.</h3>

Step-by-step explanation:

Given the expression;

4x/3x+1 = x/2x+10

We are to get the nature of the value of x

Cross multiply;

x(3x+1) = 4x(2x+10)

3x²+x = 8x²+40x

Collect like terms;

3x²-8x² + x - 40x = 0

-5x²+x -40x = 0

-5x²-39x = 0

-5x² = 39x

-5x = 39

x = -39/5

<em>Since we have just one value of x hence, the equation has one valid solution and no extraneous of solutions.</em>

<em></em>

<em></em>

4 0
2 years ago
Read 2 more answers
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