Solve the system by substitution. Show all of your work.
3x – 2y = -2
3x + y = 10

Answer:

-4

Step-by-step explanation:

y = mx + b

Answer:

-4

Step-by-step explanation:

y=mx+b

m is slope

b is y-intercept

So you line y=mx+b and y=-4x-8

-4 is replacing m so -4 is the slope

Hope this helps!

Answer:

7.5

Step-by-step explanation:

The square has 4 equal sides, so you take the p,(30) and divide it. 30/4 = 7.5

To check your answer add 7.5 four times since the square has 4 equal sides.

7.5 + 7.5 = 15

15 + 7.5 = 22.5

22.5 + 7.5 = 30

37.5 degrees

we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.

The measure of angle ∠DBC is,

⇒ ∠DBC = 35.5°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Point D is in the interior of ∠ABC.

And, ∠ABD = (3x + 22)°

⇒ ∠DBC = (x - 4)°

Clearly, Both angle make a linear pair.

Hence, We get;

⇒ ∠ ABD + ∠DBC = 180°

⇒ (3x + 22) + (x - 4) = 180°

⇒ 3x + 22 + x - 4 = 180

⇒ 4x + 18 = 180

⇒ 4x = 180 - 18

⇒ 4x = 162

⇒ x = 162/4

⇒ x = 40.5

Hence, The measure of angle ∠DBC is,

⇒ ∠DBC = (x - 4)°

⇒ ∠DBC = (40.5 - 4)°

⇒ ∠DBC = 35.5°

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Answer:

$17,280

Step-by-step explanation:

Formula:

I = Prt

Given:

P = 48000

r = 0.06

t = 6

Work:

I = (48000)(0.06)(6)

I = 17280

Answer:

-112x-168y, 6(6a-1).

Step-by-step explanation:

-14(8x+12y)

-112x-168y

--------------

36a-6

6(6a-1)

Answer:

Step-by-step explanation:

All of them beside D and A

Answer:

A

Step-by-step explanation:

Answer:

28.27in

Step-by-step explanation:

Answer:

141.3 (units³)

Step-by-step explanation:

formula for volume of a cone = V=1/3πr²h

1/3* 3.14 * 3² * 15 = 141.3

hope this helps!

Answer:

y= 3x+1

Step-by-step explanation:

(0,4) shows the y-intercept of +4

Use slope formula to find slope:

7-4/2-1 = 3/1 = 3

M (slope)= 3x

Answer:

y=3x+1

Since we know that the line is increasing by 3 and since when x is equal to zero, and y is equal to 1 we know that we will need to add 1.

So Y=3x+1

Answer:

(-8,-2) try it

Step-by-step explanation:

Answer: at 4 months the cost for each gym is $250

Step-by-step explanation:

At 4 month, the cost for each gym is $250

The y axis of the graph represents the membership cost and the x axis represent the number of month.

The lines representing gym A and B intersect at (4, 250).

The point where the lines intersect is when the cost and the month for each gym are the same.

Therefore, at 4 month, the cost for each gym is $250

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Option A,  DE/AB=EF/BC=DF/AC shows the  corresponding sides as equal ratios

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

From the given triangles

In triangle ABC, the lengths AB is 3, BC is 4 and CA is 5.

In triangle DEF, the lengths DE is 6, EF is 8 and DF is 10.

As the two triangles are similar.

DE/AB=6/3=2

EF/BC=8/4=2

DF/AC=10/5=2

So DE/AB=EF/BC=DF/AC=2

Hence, Option A DE/AB=EF/BC=DF/AC shows the  corresponding sides as equal ratios

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Answer:

See explanation

Step-by-step explanation:

In most cases, we run into the problem of arranging objects that are repeated. This often occurs when we have a word that has repeated letters.

Let us recall that permutation deals with arrangements which are distinguishable.

Hence, for the word CONCLUSION, the number of distinguishable arrangements are;

10!/2!2!2!

Answer: 3000

100 x 30 = 3000

Answer:

3000 is the answer

Step-by-step explanation:

Here ya go :)

Answer:

x=30

Step-by-step explanation:

You have to isolate for x. This means you need to somehow get x on one side of the equation all alone. In this case it is x-9=21 which means some unknown number x with 9 subtracted from it is equal to 21. When we bring the -9 over to the other side to get the x all alone, we have to switch the sign of the -9 so it becomes +9. This means x=21+9, and if you add that you'll get 30!

Answer:

25 cans

Step-by-step explanation:

Let the side length of the cube be s m

Therefore,

[tex] {s}^{3} = 2197 \\ \\ {s}^{3} = {13}^{3} \\ \\ \implies \: s = 13 \: m \\ \\ total \: surface \: area \: of \: cube \\ = 6 {s}^{2} \\ = 6( {13})^{2} \\ = 6 \times 169 \\ = 1,014 \: {m}^{2} \\ \\ no \: of \: cans \: of \: paint \: needed \\ = \frac{1014}{40} \\ = 25.35 \: \\ \approx \: 25[/tex]

Answer:

5^11

Step-by-step explanation:

The simplification form of the given expression 5² · 5⁹ would be  5¹¹ which is the correct answer that would be an option (A).

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

We have to determine the simplification form of the expression 5² · 5⁹.

The given exponential expression below as:

⇒  5² · 5⁹

Apply the multiplication operation, and add the exponents because the same base of the exponential expression,

⇒  5² ⁺⁹

⇒  5¹¹

Therefore, the simplification form of the given expression would be  5¹¹.

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Answer:

Red, orange, yellow, green, cyan, blue and purple.

Step-by-step explanation:

The rainbow is a colorful visual and meteorological phenomenon, in which the range of colors that compose the visible light in the sky appears. The phenomenon occurs when the sun's rays fall on raindrops in the Earth's atmosphere and is an example of refraction, after reflection. Each color is refracted at a different angle inside the droplets (which act like small prisms), it undergoes a different deflection and so the visible white light is analyzed in the different colors that compose it.

Answer:

5.41

Step-by-step explanation:

Answer:6 + 8

Step-by-step explanation:

Add the numbers

Combine like terms

Answer:

the answer is: 6x+8

Step-by-step explanation:

also can I have brainliest please? :)

Answer:

Step-by-step explanation:

45+x>48

x>3

Answer:

45+x>48

x>3

Step-by-step explanation:

Good Luck! <3

Answer:

Step-by-step explanation:

Sale price:

your sale price should be, $195.25

the origonal price is, $355

sale happens = 45%

Sale price:

$355 times [tex]\frac{(100-45)}{100}[/tex] = $195.25

Hope this helps!

Answer:

[tex]\frac{10}{x+2} = \frac{3}{x-2}[/tex]

Step-by-step explanation:

The 10 represents the speed traveling downsteam while the 3 represents speed upstream. Downstream you have the help of the current, so it would be x + 2, upstream you are working against the current so it would be x - 2.

Answer:

The answer is 3.

Step-by-step explanation:

If z equals 2 then you are supposed to multiply 2 by 3 and then subtract 3 since x equals 3.

Answer:

Step-by-step explanation:

11x - 16 = -49

=> 11x = - 49 + 16

=> 11x = -33

[tex] = > x = \frac{ - 33}{11} [/tex]

=> x = -3 (Ans)

Answer:

x=-3

Step-by-step explanation:

1. Add 16 to both sides of the equation

11−16=−49

11−16+16=−49+16

2. Simplify.

IF you add the numbers you will get:

11x=-33

3. Divide both sides of the equation by the same term

11=−33

11/11=−33/11

4. Simplify.

x=-3

Hope this helps       :)

The constructions that could be accomplished with paper folding are:

To do the above, one can fold the paper so that the two endpoints of the line segment can be seen on top of each other.

A segment perpendicular to another segment can be done using paper folding by folding the paper so that the paper is folded via the point and the segment that is seen on top of its own self.

Therefore, The constructions that could be accomplished with paper folding are:

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