lets find the answer

Answer:

1) y = 3/4x - 4

2) x-intercept: (-6,0) y-intercept: (0,8)

3) (-2,7)

4) slope: 2/3

Step-by-step explanation:

1) subtract 3x from both sides, divide -4 from both sides, simplify right side which gives you y = 3/4x -4

2) to get x-inter: plug in 0 for y and solve for x, the equation should look like 4x = -24, divide both sides by 4 which gives you x = -6

get y-inter: plug in 0 for x and solve for y, the equation should look like -3y=-24, divide both sides by -3 which gives you y = 8

3) plug in the points from the choices and go from there

4) slope formula: m = y2-y1/x2-x1

Answer:

5  % per hour

Step-by-step explanation:

Pick two of the grid points the line seems to go through.  I'm using (0, 50) and (4, 70).

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{70-50}{4-0}=\frac{20}{4}=5[/tex]

Answer:

Step-by-step explanation:

Use the law of cosines to find the side AB:

Use the Heron's area formula next:

Now

Next

Substitute this into the first equation:

Answer:

AB = 7 cm

Step-by-step explanation:

Sine Rule for Area

[tex]\sf Area =\dfrac{1}{2}ab \sin C[/tex]

where:

Given:

Substitute the given values into the formula and solve for x:

[tex]\begin{aligned} \sf Area & = \dfrac{1}{2}ab \sin C \\\\\implies \sqrt{300} & = \dfrac{1}{2}(x+3)x \sin 60^{\circ}\\\\\sqrt{300} & = \dfrac{\sqrt{3}}{4}(x+3)x\\\\\dfrac{4\sqrt{300}}{\sqrt{3}} & = x^2+3x\\\\40 & = x^2+3x\\\\x^2+3x-40 & = 0\\\\ (x-5)(x+8)& = 0\\\\ \implies x & = 5, -8\end{aligned}[/tex]

As length is positive, x = 5 only.

Substitute the found value of x into the expressions for the side lengths:

Cosine rule

[tex]c^2=a^2+b^2-2ab \cos C[/tex]

(where a, b and c are the sides and C is the angle opposite side c)

Substitute the found values into the formula and solve for AB:

[tex]\begin{aligned}c^2 & =a^2+b^2-2ab \cos C\\\implies AB^2 & =8^2+5^2-2(8)(5) \cos 60^{\circ}\\AB^2 & =89-40\\AB^2 & =49\\AB & =\sqrt{49}\\AB & = \pm 7\end{aligned}[/tex]

As length is positive, AB = 7 cm.

Learn more about the sine rule for area here:

https://brainly.com/question/27088353

Answer:

y-intercept is -9

Step-by-step explanation:

g(0) = -3(0)² - 5(0) - 9

g(0) = 0 - 9

g(0) = -9

Answer:

y = 1

Step-by-step explanation:

Since the line is a horizontal line through 1, y = 1.

Answer:

. c. Division Rule and Power of a Power Rule

Step-by-step explanation:

(x^3/x/x)^3

=(x³/x/x)³

First we need to solve the brackets. Anything written in the fraction form a/b/c can be written as a*c/b.

Similarly (x³/x/x)³ can be written as (x*x³/x)³

Solving further the x can be cancelled by x leaving x³ behind.

(x³)³

Now applying the Power of a Power Rule

x³*³= x⁹

First the division rule and then the power rule is applied.

Answer:

28.875

Step-by-step explanation:

If you have a calculator on hand, then this kind of problem will be easy. If you multiply 10.5 by 2.75, then you would get 28.875.

Hope that this helps!

Answer:

Step-by-step explanation:

The base of the prism is triangle with base of 6 yd and hight of 6 yd.

The hight of the prism is 10 yd.

Therefore, the volume of the prism:

[tex](\frac12\cdot8\cdot6)\cdot10=240\ yd^3[/tex]

Answer:

1. <2, <7

2. 58

3. 78

4. a and b

h5. <2 and <7 ( i think this is the same question as the first one)

Step-by-step explanation:

2. 2x + 7 = 123 (you have to make them equal to each other because they are consecutive interior angles)

2x + 7 = 123, subtract 7

2x = 116, divide 2 for both sides to make x by itself

x = 58

3. 78 because of consecutive interior angles

Answer:

Slope = 1/5

Step-by-step explanation:

After plotting the points you do rise over run. 1/5 or 1 over 5 meaning you rise 1 and run across 5 to get to the next point

Answer:

C. 9

Step-by-step explanation:

3 sock options, 3 shoe options for each of those sock options.

3 x 3 = 9

Answer:

266

Step-by-step explanation:

En Matemáticas, al realizar la operación de División, la regla es la siguiente:

Dividendo ÷ Divisor = Cociente

En la pregunta anterior, se nos da:

Divisor = 19

Cociente = 14

Dividendo =?

Para encontrar el dividendo,

Dividendo = Divisor × Cociente

Por eso,

Dividendo = 19 × 14

= 266

Por lo tanto, el Dividendo = 266

Answer:

Step-by-step explanation:

4

Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

A = pi (6.5)^2

A =42.25 pi

If we approximate pi by 3.14

A = 42.25 * 3.14 =132.665

If we use the pi button

A = 132.7322896

Answer:

132.73

Step-by-step explanation:

Answer: [tex]54\ in.[/tex]

Step-by-step explanation:

Given

The volume of the toolbox is [tex]9072\ in.^3[/tex]

The height of the toolbox is [tex]h=14\ in.[/tex]

The width of the toolbox is [tex]w=1\ ft\ or\ 12\ in.[/tex]

Suppose the length of the box is [tex]l[/tex]

The volume of the toolbox is given by [tex]V=l\times w\times h[/tex]

Insert the value to find the length

[tex]\Rightarrow 9072=14\times 12\times l\\\\\Rightarrow l=\dfrac{9072}{168}\\\\\Rightarrow l=54\ in.[/tex]

The length of the box is [tex]54\ in.[/tex]

Answer:

45

Step-by-step explanation:

D was the answer for me.

Answer:

its c

Step-by-step explanation:

I just took the test

Answer:

(10 1/3, 42)

Step-by-step explanation:

a1 = 1

a2 = a1×2 + 1/3 = 2 1/3

a3 = a2×2 + 1/3 = (a1×2 + 1/3)×2 + 1/3 = a1×4 + 2/3 + 1/3 =

= 4 + 3/3 = 5

a4 = a3×2 + 1/3 = ... = 10 1/3

b1 = 0

b2 = (b1 + 1/2)×4 = (0 + 1/2)×4 = 1/2 × 4 = 2

b3 = (b2 + 1/2)×4 = ((b1 + 1/2)×4 +1/2)×4 = 16×b1 + 16/2 + 4/2=

= 16/2 + 4/2 = 8 + 2 = 10

or (to check we made no mistake)

= (2 + 1/2)×4 = 8 + 2 = 10. => all ok, no mistake

b4 = (b3 + 1/2)×4 = ... = (10 + 1/2)×4 = 40 + 2 = 42

so, the fourth ordered pair (= the fourth elements of each sequence) is therefore (10 1/3, 42)

Answer:

Yes

Step-by-step explanation:

2 hours=40

so 1 hour=20

if we use that:

3.5x20=70 as stated

4x20=80 as stated

5x20=100 as stated

so there is a proportional relationshi.

Answer:

21 points

Step-by-step explanation:

Point E is located at -12  that is 12 points less than zero. And Point F is located at point 9 which means that is 9 points after zero.

So the total distance will be 12+9= 21 points between the two locations Point E and Point F.

We add the total difference from the point zero to get the total distance between the two points.

Answer:

Step-by-step explanation:

A

(2x - 5)(x + 1)

B)

The x intrcepts occur when the factors equal zero.

2x - 5 = 0

2x = 5

x = 5/2

x = 2 1/2

C

I will give the the minimum from completing the square

y = 2(x - 0.75)^2 - 6.125

as x approaches + infinity, y approaches + infinity.

as x approaches - infinity, y approaches + infinity.

It's a quadratic. The y values go to plus infinity, when x goes from - infinity to + infinity.

D

Desmos is the most useful tool for this part of the question. What it shows is the two roots and the minimum at (0.75,-6.125. A parabola does what the end behavior describes. The roots are clearly labeled as is the minimum.

Answer: 10

Step-by-step explanation:

10% is the same as 10/100

10% would equal 10 (out of the 100) coins

Answer:

Isosceles Triangle... Btw it's worth 5 points

Answer:

V = 214.32

Step-by-step explanation:

Remark

You have to be a little careful with this question. The temptation is just to take the difference of the heights. That is not correct. The difference has to be multiplied by the base to get the volume.

Formula

V = (h1 - h2)* Base

Givens

h1 = 32.9

h2 = 29.1

Base = 56.4

Solution

V = 56.4 ( 32.9 - 29.2)

V = 56.4 * 3.8

V = 214.32

Answer:

The first two

Step-by-step explanation:

The first two

The bottom equation of the second set is the

bottom equation of the first set multipied by -2

Answer:

1.) 15

2.) 12.5

Step-by-step explanation: