ANSWER ASAP
Which two expressions are equivalent?
A: x(7+4) and 7(x) + 4(x)
B: 7 - (5•x) and (7-5) • x
C: 4(x-9) and 4(x) - 9 (x)

Answer:

[tex]a=9[/tex]

Step-by-step explanation:

In this problem, you can use the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) to find what a is. The steps are shown below:

Steps (variables a, b, and c are in italics):

-You can rearrange the formula from the Pythagorean Theorem, which is[tex]a^{2} +b^{2} =c^{2}[/tex] to only get a because we want to know what a is.

Rearranged: [tex]a=\sqrt{c^{2}-b^{2} }[/tex] or [tex]a=-\sqrt{c^{2}-b^{2} }[/tex]  It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.

-Since we know what c and b are, you can plug them into the new formula:

[tex]a=\sqrt{15^{2}-12^{2} }[/tex]

-Simplify it:

[tex]a=\sqrt{225-144}[/tex]

-Subtract inside the radical:

[tex]a=\sqrt{81}[/tex]  Then simplify it to get [tex]a=9[/tex].

You can check your answer by putting a back into the original Pythagorean Theorem formula ([tex]a^{2} +b^{2} =c^{2}[/tex]):

Steps

-Plug a, b, and c into the formula [tex]a^{2} +b^{2} =c^{2}[/tex]:

[tex](9)^{2} +(12)^{2} =(15)^{2}[/tex]

-Simplify to get:

[tex]81+144=225[/tex]

-Add:

[tex]225=225[/tex]  This is very true. So our answer is correct.

ANSWER: [tex]a=9[/tex]

Sorry for the long explanation, but I hope you understand and that this helps with your question! :)

Answer:

Step-by-step explanation:

lets make is short and simple

Pythagorean theorem: a² + b² = c²

a² + 12² = 15²

a² = 15² - 12²

a = √81

a = 9

Answer:

Question 2: v = 25n

Question 3: b (the output is 250 because 10 quarters is 250 cents)

Step-by-step explanation:

Each quarter is worth 25 cents. n represents the number of quarters you have. The number of quarters you have multiplied by 25 with give the value of the quarters in cents.

v = 25n

v = 25(10)

v = 250

(v represents the value in cents)

Answer:

Step-by-step explanation:y=1/4 X +6

Answer:

y= 1/4x+ 6

Step-by-step explanation:

Because the line intersects the y-axis at 6, we know the y-intercept, b, is 6.

By counting, we can see the line rises 1 unit for every 4 units it runs to the right. So, the slope, m, of the line is 1/4.

Substitute m and b into the slope-intercept equation, y = mx + b. The equation of the line is y = 1/4 x + 6.

Answer:  slope: 1/4

y-intercept: 0,3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It is C because I can plot all those points and they are still on the blue line. If you don't believe me, plug them in to y=-3/2x+2, (-4,8 plugged in would look like this 8=-3/2(-4)+2 just plug the x and y coordinates in) and they will be correct.

Hope this helps plz hit the crown:D

Answer:

B

X can be any real number, there are a lot of solutions for y = -3/2x+2 so the answer is not C or D

for a given x,y can only be y=-3/2*x+2 not any value y so the answer is not A

Since for a given x,y can only be y=-3/2*x+2 the solutions will be ~x,y = -3/2*x+2) or ~x, -3/2*x+2~ for all real numbers

Hope I helped

Answer:

x = 3.464 ft.

Step-by-step explanation:

To find x we use the trigonometric identity Sine.

[tex]sin\ \theta=\frac{perpendicular}{hypotenuse}\\\\sin\ 60=\frac{x}{4} \\\\4*sin60=x\\4*0.866=x\\3.464=x\\x=3.464\ ft[/tex]

Answer:

x = 3.464 ft.

Step-by-step explanation:

Answer:

The statement at the top says that the triangles are 'similar'. That means that the corresponding angles are equal, and each pair of corresponding sides have the same ratio. From the 4 and the 8, you can see that each side in the small one is 1/2 the length of the corresponding side in the big one. So the missing sides are 1/2 the length of the 7 and the 12.

Answer:

True.

Step-by-step explanation:

The rule for reflecting the X value is to negate the Y value but leave the X as it is.

Example: K= (7,2) when reflected it would be (7,-2).

Answer:

Se obtuvo $ 448 de ganancia por la venta de donas.

Se obtuvo $ 280 de ganancia por la venta de bolillos.

Step-by-step explanation:

1) ¿Cuanta ganancia se obtuvo en la venta de donas?

La ganancia es el producto del porcentaje producido de donas, expresado como razón, el precio unitario de la dona y el total producido de panes. Es decir:

[tex]C = \frac{40\,donas}{100\,panes}\times (140\,panes)\times \left(8\,\frac{USD}{dona} \right)[/tex]

[tex]C = 448\,USD[/tex]

Se obtuvo $ 448 de ganancia por la venta de donas.

2) ¿Cuanta ganancia se obtuvo en la venta de bolillos?

La ganancia es el producto del porcentaje producido de bolillos, expresado como razón, el precio unitario del bolillo y el total producido de panes. Es decir:

[tex]C = \frac{25\,bolillos}{100\,panes}\times (140\,panes)\times \left(8\,\frac{USD}{bolillo}\right)[/tex]

[tex]C = 280\,USD[/tex]

Se obtuvo $ 280 de ganancia por la venta de bolillos.

In this exercise we have to use the knowledge of finance to calculate the profit.

1) $ 448 profit was made from donut sales.

2) A profit of $ 280 was obtained from the sale of cupcake.

1)The profit is the product of the percentage produced of donuts, expressed as a ratio, the unit price of the donut and the total produced of breads. That is to say:

[tex]C= (\frac{40}{100} )*(140)*(8)= 448 USD[/tex]

$ 448 profit was made from donut sales.

2) The profit is the product of the percentage of cupcake produced, expressed as a ratio, the unit price of the cupcake and the total amount of bread produced. That is to say:

[tex]C= (\frac{25}{100}) *(140)*(8)= 280 USD[/tex]

A profit of $ 280 was obtained from the sale of cupcake.

See more about finances at brainly.com/question/16520540

Answer

range ...............

Step-by-step explanation:

ok hope it helps you

Answer:

...........range..........

Step-by-step explanation:

mark as brainliest and follow also.

don't forget to like it.

Answer:

x=3 C

Step-by-step explanation:

5x-13=-3x+11

8x-13=11

8x=24

x=3

Answer:

the answer is x=3

Step-by-step explanation:

i hope this help you

Answer:

0.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

if we have 137 students, and out of this number 7 were in cars

137-7=130 students in buses

there are 5 buses

130/5=26

26 students in each bus

Answer:

5/12

Step-by-step explanation:

Jermiah finished 3/4 of his timed math quiz. Of those he attempted he correctly answered 5/9 of the problems. What fractional part of the quiz did he get correct?

The above question is solved below.

The Fractional part of the quiz he got correctly is

5/9 of 3/4 of his timed maths test

= 5/9 × 3/4

= 5/12

He got 5/12 of his quiz correctly.

Answer:

12981

Step-by-step explanation:

Given that :

Initial number of residents = 12575

Yearly growth rate (r) = 1.6%

Population in 2 years :

Using the relation :

Population in t years P(t) :

P(t) = initial population * (1 + growth rate)^t

t = time

Population in 2 years :

P(2) = 12575 * (1 + 0.016)^2

P(2) = 12575(1.016)^2

= 12575 * 1.032256

= 12980.6192

= 12981

Step-by-step explanation:

It is given that,

An aquarium is in the shape of a rectangular prism. The area of the base of the aquarium is 250 square inches.

We need to find the volume of the aquarium.

The formula for the volume of the rectangular prism is given by :

V = lbh

Where, l is length, b is width and h is height

Let the height of the prism is h inches. So,

V = A × h   (As Area, A = lb)

V = 250× h

= (250h) inch³

By substituting the value of h, we can find its volume.

Hence, the volume of the aquarium is (250h) inch³.

Answer:

The answer is 3,125

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Use the Pythagorean Theorem, [tex]a^{2} +b^{2} =c^{2}[/tex]

In this situation, you would use the equation as [tex]8^{2} +15^{2} =x^{2}[/tex]

Answer:

Option (C)

Step-by-step explanation:

Geometric sequence has been given as,

6, -24, 96. -384.......

First term of this sequence = 6

[tex]a_1=6[/tex]

Recursive formula of geometric sequence is given by,

[tex]a_n=a_{n-1}(r)[/tex]

Here r = common ratio of successive and previous term

From the given sequence,

r = [tex]\frac{a_2}{a_1}[/tex]

 = [tex]\frac{-24}{6}[/tex]

 = (-4)

Recursive formula of the given sequence will be,

[tex]a_n=a_{n-1}.(-4)[/tex]

Therefore, Option (C) will be the correct option.

Both the lines are perpendicular lines.

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of lines are,

⇒ 6x - 2y = 1 and x + 3y = 12.

Now,

Since, The equation of lines are,

⇒ 6x - 2y = 1 and x + 3y = 12.

Hence, Find the slopes of the lines as;

⇒ 6x - 2y = 1

⇒ 2y = 6x - 1

⇒ y = 3x - 1/2

⇒ m₁ = dy/dx = 3

And, From second line,

⇒ x + 3y = 12.

⇒ 3y = - x + 12

⇒ y = - 1/3x + 4

⇒ m₂ = dy/dx = - 1/3

Clearly, We get;

⇒ m₁ m₂ = 3 × - 1/3

             = - 1

Thus, Both the lines are perpendicular lines.

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Answer:

0.6 over 0.6. Or just 1.

Step-by-step explanation:

Answer:

f(2)= -1

Step-by-step explanation:

f(2)=-3(2)+5= -6+5= -1

Answer:

-1

Step-by-step explanation:

f(x)=-3x+5

f(2)= -3(2)+5

=-6+5 = -1

Answer:

8.3 miles

Step-by-step explanation:

In 3 hrs he can walk=5 miles

In an hour he can walk=5/3miles

=1.66 miles

In 5 hours he can walk=1.66*5miles

=8.3 miles

Hope this helps

Answer:

Maybe if you could be a bit clear with what you need help with? are you struggling with plotting the points? are stuck on the equation that was given? and do you understand slope intercept form?

I can help you with the equation since that's not the full equation:

-2y = -x + 10

so you divide the -2 and then also divide it on the other side

-2y = -x + 10

-2         -2

cross out the -2's on the left side but do not cross out the y since you will need that. Then divide the numbers so:

 -1 % -2 is 0.5 but we don't use decimals in our equation so just put

-1/-2x

then do 10 % -2 and you should get -5

so put the equation together:

y = -1/-2x - 5

(Is that all or do you need help with anything else?)

Answer:

5 19/20

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

5 19/20

Step-by-step explanation:

Answer:

first year $20 second year $20.80 Third year $21.63

Step-by-step explanation: This is for an extra money per year so after the first year that is how much extra money he gets every year.

Answer: slope -1/4 y intercept -8

Step-by-step explanation:

In the form y = mx+b, m is the slope and b is the y-intercept. So let’s get it into this form, by getting y by itself.

4y = -x - 32

divide by 4 on every term

y = -1/4x - 8

therefore the slope is -1/4 and y intercept is -8

Answer:

The second lucia’s claim is correct since any rotation that are multiple of 45 carry a square onto itself.

Step-by-step explanation:

Answer:

Lucian claim is incorrect because not all rotations that are multiples of 45 degrees carry a square onto itself

Step-by-step explanation:

90 degrees carries a square into itself and it IS a multiple if 45. But 45 degrees cannot carry a square into itself.

Answer/Step-by-step explanation:

WX: 4.47

[tex]4^{2} + 2^{2} = 20\\\sqrt{20} = 4.47[/tex]

XY: 3.61

[tex]3^{2} + 2^{2} = 13\\\sqrt{13} = 3.61[/tex]

YZ: 4.12

[tex]1^{2} + 4^{2} = 17\\\sqrt{17} =4.12[/tex]

WZ: 4.24

[tex]3^{2} + 3^{2} = 18 \\\sqrt{18} = 4.24[/tex]

The slopes of the lines are:

WX = 2

XY = -1.5

YZ = 4

WZ = -1

Given is a polygon on a coordinate plane with vertices =

W = (-5, 1)

X = (-3, 5)

Y = (-1, 2)

Z = (-2, -2)

We need to find the slopes of line =

WX, XY, YZ and WZ

To find the slopes of the lines connecting the vertices of the polygon, we can use the formula for the slope between two points (x₁, y₁) and (x₂, y₂):

slope = (y₂ - y₁) / (x₂ - x₁)

Let's calculate the slopes for each line:

1) Slope of line WX:

W = (-5, 1)

X = (-3, 5)

slope(WX) = (5 - 1) / (-3 - (-5))

= 4 / 2

= 2

So, the slope of line WX is 2.

2) Slope of line XY:

X = (-3, 5)

Y = (-1, 2)

slope(XY) = (2 - 5) / (-1 - (-3))

= -3 / 2

= -1.5

So, the slope of line XY is -1.5.

3) Slope of line YZ:

Y = (-1, 2)

Z = (-2, -2)

slope(YZ) = (-2 - 2) / (-2 - (-1))

= -4 / (-1)

= 4

So, the slope of line YZ is 4.

4) Slope of line WZ:

W = (-5, 1)

Z = (-2, -2)

slope(WZ) = (-2 - 1) / (-2 - (-5))

= -3 / 3

= -1

So, the slope of line WZ is -1.

Therefore, the slopes of the lines are:

WX = 2

XY = -1.5

YZ = 4

WZ = -1

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Answer:

780

Step-by-step explanation:

7.8 x 10 is 78. 1.0 x 10 is 10. Multiply both and get 780