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3 years ago

The graph represents function 1, and the equation represents funtion 2:

Mathematics

1 answer:

horsena [70]3 years ago

5 0

Answer:

Step-by-step explanation:

we know that

The rate of change of a linear equation is a constant that is the same that the slope

step 1

we have

The equation of the graph (function 1) is equal to

y=4

Is a horizontal line

The slope is equal to zero

The rate of change of function 1 is zero

step 2

The equation of the function 2 is

$y=8x+12$

This is a linear equation in slope intercept form

where

the slope is equal to m=8

The rate of change of function 2 is 8

therefore

The rate of change of function 2 is 8 more than the rate of change of function 1

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I need help finding bc and ac

Vikki [24]

<h3>Given :</h3>

AB = 7
∠A = 45°

BC = ?
AC = ?

<h3>Solution :</h3>

From point A,

$\bf tan A = \dfrac{perpendicular}{base}$

$\bf \implies tan A = \dfrac{BC}{AB}$

$\bf \implies tan A = \dfrac{BC}{7}$

Now, we are given ∠A = 45°

$\bf \implies tan A = tan 45^{\circ}$

$\bf \implies tan 45^{\circ} = \dfrac{BC}{7}$

Now, we know that tan45° = 1

$\bf \implies 1 = \dfrac{BC}{7}$

$\bf \implies 1 \times 7 = BC$

$\bf \implies BC = 7$

Now, by Pythagoras' theorem,

AC² = BC² + AB²

$\bf \implies AC^{2} = (7)^{2} + (7)^{2}$

$\bf \implies AC^{2} = 49 + 49$

$\bf \implies AC^{2} = 98$

$\bf \implies AC = \sqrt{98}$

$\bf \implies AC = 7 \sqrt{2}$

$\pink{\bf \therefore \: values \: of \: AC = 7 \sqrt{2} \: and \: BC = 7}$

8 0

3 years ago

Write the value of the underline digit 105,980,774 the digit is 8

Ghella [55]

ten thousand is the ansewer

5 0

3 years ago

Read 2 more answers

Solve the equation.<br> 5x + 12 = -13

spin [16.1K]

Answer:

Simplifying

5x + 12 = -13

Reorder the terms:

12 + 5x = -13

Solving

12 + 5x = -13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + 5x = -13 + -12

Combine like terms: 12 + -12 = 0

0 + 5x = -13 + -12

5x = -13 + -12

Combine like terms: -13 + -12 = -25

5x = -25

Divide each side by '5'.

x = -5

Simplifying

x = -5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which t

Yakvenalex [24]

Answer:

a. Maximum= 27, minimum= -5

b. Maximum= 19, minimum=-37

Step-by-step explanation:

We have the function $f(x)=8x-5$ . Since the function correspond to a line, then the maximum and minimum values of the function over an interval are in the endpoints of the interval.

Observe that if the line has negative slope then the minimum value is in the right endpoint. If the line has positive slope the minimum value is in the left endpoint of the interval.

The function f(x) has slope m=8. Then

a. the minimum value of f(x) in the interval [0,4] is reach when x=0, and the minimum is $f(0)=8*0-5=-5$ and the maximum is $f(4)=8(4)-5=32-5=27$

b. the minimum value of f(x) in the interval [-4,,3] is reach when x=-4, and the minimum is $f(-4)=8(-4)-5=-32-5=-37$ and the maximum is $f(3)=8(3)-5=24-5=19$