Distributive Method
(2x+3)(x

Answer:

[tex]\angle A=17\textdegree[/tex]

Step-by-step explanation:

We know that A and B are complementary angles. So, they must add up to 90°. As an equation:

[tex]\angle A+\angle B=90[/tex]

Since we know their equations, substitute:

[tex](x+8)+(8x+1)=90[/tex]

Solve for x. Combine like terms on the left:

[tex]9x+9=90[/tex]

Subtract 9 from both sides:

[tex]9x=81[/tex]

Divide both sides by 9:

[tex]x=9[/tex]

So, the value of x is 9.

We want to find A. So, let's use the equation for A:

[tex]\angle A=x+8[/tex]

Substitute 9 for x:

[tex]\angle A=9+8[/tex]

Add:

[tex]\angle A=17\textdegree[/tex]

So, the measure of A is 17°.

Answer:

Every time you top off your vehicle at the pump, you're paying federal and state gas taxes that are included in the price of every gallon of gasoline. The federal tax, at 18.4 cents per gallon, is meant to help the federal government pay to build and fix things like highways and bridges.

Step-by-step explanation:

Mark me brainliest

Answer: These taxes are meant to do two things — raise money to pay for infrastructure and reflect some of the environmental costs of driving. Unlike most taxes, gas taxes are charged as a flat charge per liter, rather than as a percentage of the pump price.

Answer:

2800, 320

350, 40

2800+320+350+40=3510

Step-by-step explanation:

(40*70)+(40*8)+(5*70)+(5*8)

Answer:

25/102

Step-by-step explanation:

P(red) = 26/52 = 1/2

P(red after red) = 25/51

1/2 * 25/51 = 25/102

Answer:

The answer is 8.

Step-by-step explanation:

Given:

The railing will begin at a height of 36 inches.

Height decreases 9 inches for every 12 horizontal inches.

To find:

The function for this situation.

Solution:

Let y be the height of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs.

Initial height = 36

So, y-intercept is 36.

Height decreases 9 inches for every 12 horizontal inches.  So,

[tex]\text{Slope}=\dfrac{\text{Vertical change}}{\text{Horizontal change}}[/tex]

[tex]m=\dfrac{-9}{12}[/tex]

[tex]m=-\dfrac{3}{4}[/tex]

Slope intercept form of a line is

[tex]y=mx+b[/tex]

Substitute [tex]m=-\dfrac{3}{4}[/tex] and b=36.

[tex]y=-\dfrac{3}{4}x+36[/tex]

The required function is [tex]y=-\dfrac{3}{4}x+36[/tex].

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.

A drawing of the side view of a set of 4 stairs. There are lines drawn to show a railing that is at the highest point of the stairs and labeled 36 inches.

Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs?

y = –StartFraction 3 Over 4 EndFractionx + 36

y = –3x + 36

y = StartFraction 3 Over 4 EndFractionx + 36

y = 3x + 36

Answer:

Positive: As you move from left to right the line was increasing    /

- Negative: As you move from left to right the line was decreasing    \

- Undefined: A Vertical line    |

- Zero: A Horizontal line    -

Step-by-step explanation:

:)

Answer:

The trail on her new map is 8 cm

Step-by-step explanation:

Here, we are interested in knowing the the length of the trail on the new map.

The scale on her old map is 1 cm represents 100 m

While her new map has a scale of 1 cm to 500 m

Now, running a trail of 40 cm on her old map, we need to get the actual distance.

The actual distance will be 40 * 100 = 4,000 m

Now, we shall convert this to the new map scale

We simply convert this to cm in the new map scale by dividing the 4,000 m by 500 m

That would be 4,000/500 = 8 cm

So the trail on her new map is 8 cm

Answer:

The actual distance will be 40 * 100 = 4,000 m

Step-by-step explanation: Now we have to convert the new scale map by dividing the 4,000 m by 500 m so that would be 4,000/500 = 8 cm

-0.5

Step-by-step explanation:

Negative , has low correlation

Answer:

it is helpful to constuct d because it makes the graph easier to understand

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

7/9 and 5/6 can have the same denominator of 54. Now, you can look only at the numerators, 42 and 45. 45 is greater, so 5/6 is greater than 7/9

5/6 is greater than 7/9

A common fraction is a numeral which represents a rational number. For example 2/3

Given here, 7/9 and  5/6 now 7/9 = 0.777 and 5/6= 0.833

Thus clearly 5/6 >7/9

Hence, 5/6 is greater than 7/9

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Answer:

1/4 = 1/2² = 2^-2

Step-by-step explanation:

1/4 can be expressed as a negative exponent is 4⁻¹

A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa. For example, when you see x⁻³, it actually stands for 1/x³

Given here, 1/4 thus it can be expressed as 4⁻¹

Hence, 1/4 can be expressed as a negative exponent is 4⁻¹

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Answer:

Step-by-step explanation:

Given:

∠1 and ∠2 are supplementary.

To prove:

l║m

Proof:

∠2 is a supplement of a. ∠1 (Given)

∠3 is a supplement of b. ∠1 [Linear pair of angles are supplementary]

Since supplements of the same angle are congruent,

c. ∠1 ≅ d. ∠2

Since ∠2 and ∠3 are also corresponding angles, l║m by the converse of same side interior angles postulate.

Answer:

x = -4 / 3

Step-by-step explanation:

step 1. simplify 4x2 to 8

8+6x=0

step 2. subtract 8 from both sides.

6x = -8

step 3. divide in both sides by 6.

x = - 8 / 6

step 4. simplify 8/6 to 4/3.

x = -4 / 3

Answer:

18/sqrt(2)

Step-by-step explanation:

Divide the square into two congruent right triangles:

a and b are the sides of the triangle

since we know that a=b

then the right triangle is isosceles

meaning that the theorem of the 45-45-90 triangle is applicable

so then we can say that 18/sqrt(2) = a = b

Answer:

The equation –3y = 15 – 4x rewritten in slope-intercept form is  

✔ y = (4/3)x – 5

.

The y-intercept is  

✔ –5

and the slope of the line is  

✔ 4/3

.

Line  

✔ B

is the graph of the line –3y = 15 – 4x.

Line B represents the given linear equation [tex]-3y =15 -4x.[/tex]

Slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]

y-intercept is -5.

Slope of the line is [tex]\frac{4}{3}[/tex].

" Linear equation is defined as the algebraic expression whose highest exponent of the variable is 1."

Formula used

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Slope intercept form y=mx +c

c = y-intercept

m = slope

According to the question,

Given linear equation,

[tex]-3y = 15-4x[/tex]

Convert the given linear equation in slope intercept form we get,

[tex]y = \frac{4}{3}x-5[/tex]

Compare it with the formula we get,

Slope 'm' = [tex]\frac{4}{3}[/tex]

y-intercept = -5

From the diagram we can have coordinates of line B

[tex]( x_{1} ,y_{1} )= (3,-1)\\\\( x_{2} ,y_{2} )= (0,-5)[/tex]

Substitute the value to get slope of line B,

Slope of line 'B' = [tex]\frac{(-5-(-1))}{0-3}[/tex]

                            [tex]= \frac{-4}{-3} \\\\=\frac{4}{3}[/tex]

From the diagram y-intercept for line B is -5.

Equation of line B

[tex]y = \frac{4}{3}x-5[/tex]

Hence,  slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]. Line B represents the given equation with y-intercept is -5 , Slope of the line is [tex]\frac{4}{3}[/tex].

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Answer:

a=-1.5 (lmk if im incorrect)

Step-by-step explanation:

-16 - 7(2a + 3) = 23 - 2a

-16-(14a+21)=23-2a

5-14a=23-2a

5=23+12a

-18=12a

-18/12 is -1.5

a=-1.5

Answer:

-69

Step-by-step explanation:

16-(5)(16)-(5)

16x5=80

16-80-5

16-80=-64

-64-5=-69

Answer:

170 Tickets were sold and 490$ was made

Step-by-step explanation:

to find how many tickets were sold add 120 + 50 to get 170

For how much they made Multiply 120 X 2 to get 240

Then, Multiply 5 x 50 to get 250

Add 240 + 250 and your answer will be 490$

Answer:

y = − 6 x + 7

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

Answer:

B. [tex]\frac{-3}{4}[/tex]±[tex]\frac{\sqrt{41} }{4}[/tex]

Step-by-step explanation:

First, substitute the equation into the quadratic formula.

[tex]x=\frac{b+-\sqrt{(b^{2} )-4(a)(c)} }{2a}[/tex]

x=[tex]\frac{-3+-\sqrt{(3)^2-4(-2)(4)} }{4}[/tex]

Solve for x.

x= [tex]\frac{-3+-\sqrt{9+32} }{4}[/tex]

x=[tex]\frac{-3+-\sqrt{41} }{4}[/tex]

The answer is x= [tex]-\frac{3}{4}[/tex]±[tex]\frac{\sqrt{41} }{4}[/tex]

Answer:

9

Step-by-step explanation:

-3*-2 is 6+3 is 9

2 negatives equal a positive when multiplying or dividing

The answer fam is.....9

Answer:

:)

Step-by-step explanation:

Answer:

nobody uses twitter anymore

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Hope This Helps!

Answer:

19

Step-by-step explanation:

Answer:19

Step-by-step explanation:

Answer:

11/12

Step-by-step explanation:

Answer:

D. Square root of 18

Step-by-step explanation:

The square root of 10 is 3.16.

The square root of 12 is 3.46.

The square root of 24 is 4.90.

The square root of 18 is 4.24.

The red dot is on 4.25 so your answer is the square root of 18.

Will you please mark me brainliest?

Answer:

I'm not quite sure if this is correct, but If the given values are our X's or the inputs, then yes it would be a function as they're all different numbers.