Use the substitution method to solve the system of equations. Choose the correct ordered pair.

Answer:

5

Step-by-step explanation:

So you divide 24 by 5 and you get 4.8 so you round it up to 5

Answer: w = 125

Explanation: Since w is being divided by 5, to solve for w,

multiply both sides of the equation by 5.

On the left side, the 5's will cancel

and on the right side, 25(5) is 125.

So w = 125.

Please do not do this problem in your head.

Show the work that it takes to get w by itself.

Explanation:

Basically triangles are congruent when they have the same shape and size.

Two triangles are congruent if they have :

exactly the same three sides and

exactly the same three angles.

Tips Area :

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent too :)

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent too ;)

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent too ^^

Hope that help :)

Answer:

g(x + 4) = -4x - 11

Step-by-step explanation:

Since g(x) = -4x + 5, g(x + 4) = -4(x + 4) + 5

g(x + 4) = -4x - 11

Answer:

x=35

Step-by-step explanation:

When a is parallel to b, the two angles will add to 180

x+ 3x+40=180

Combine like terms

4x+40 =180

Subtract 40 from each side

4x= 180-40

4x= 140

Divide by 4

4x/4 = 140/4

x=35

Answer:

Answer C. x = 2

Step-by-step explanation:

Given:

x − 2y = 2

3 * ( x ) + y = 6

You need to group the x-coordinates of the system of equations.

Rewrite x − 2y = 2 , in such a way that it starts with x =...

x = 2y + 2

Substitute x = 2y + 2 in 3 * ( x ) + y = 6, which gives:

3 * ( 2y + 2 ) + y = 6

6y + 6 + y = 6

7y = 0

y = 0

Substitute y = 0 in x = 2(y) + 2 gives x = 2*0 + 2

So x = 2, which is answer C.

x - 6x + 2x - 2x

x - 6x + 0

-5x

The x-coordinate of the solution to the following system of equations x − 2y = 2 and  3x + y = 6 is x = 2. Option c is correct.

system of equations is given as,

x − 2y = 2    - - - - (1)
3x + y = 6  - -- - - -(2)
x coordinate of the solution to the following system of equations to be determined.

the equation is the relationship between variables and is represented as a polynomial equation.

x − 2y = 2    - - - - (1)
3x + y = 6  - -- - - -(2)
From equation 1
x = 2y +2
put x in equation 2
3 (2y + 2) + y = 6
6y + 6 + y = 6
7y = 0
y = 0
Put y = 0 in x = 2y + 2
x = 2(0) + 2
x = 2

Thus, The x-coordinate of the solution to the following system of equations x − 2y = 2 and  3x + y = 6 is x = 2.

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Answer:

D. y = (x - 3)²

Step-by-step explanation:

The parabola formula in vertex form is:

y = a(x - h)² + k

where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:

y = a(x - 3)² + 0

y = a(x - 3)²

In all possible options the leading coefficient a is equal to one. Therefore:

y = (x - 3)²

Answer:

we simply see 4 has multiplied by -3

-12 = 4 x -3

This becomes -300%

We then add the 100 = initial amount onto a negatove percentage = -300 +100 = -200% change.

Step-by-step explanation:

3.00 x 4 = 12

4 + 8 = 12

4 x -2.00 = -8 being the change. The answer is -2.00 = -200%

Shows part of the answer and proves the answer is -200%

Answer:

x = 4, x = - 8

Step-by-step explanation:

(x+ 2)² = 36

√(x+2)² = + √36     √(x+2)² =  -√36  

x+2 = 6                     x+2 = -6

x= 4                          x = - 8

Answer:

5x³+10x²-3x+3

Step-by-step explanation:

(4x²-3x) - (-5x³-6x²-3)

5x³+10x²-3x+3

If equations M(x)=[tex]4x^{2} -3x[/tex] and N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] then M(x)-N(x)=[tex]5x^{3} +10x^{2} -3x+3[/tex].

An equation is a relationship between two or more variables expressed in equal to form. It is often equated to find the values of variables. The form of an equation is ax+by=c.

We have been given M(x)=[tex]4x^{2} -3x[/tex] and N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] and we have to find the difference between M(x) and N(x) and to solve them we have to open the brackets and add the coefficients of variable.

M(x)-N(x)=[tex]4x^{2} -3x-(-5x^{3}-6x^{2} -3)[/tex]

First we have to open the brackets.

=[tex]4x^{2} -3x+5x^{3}+6x^{2} +3[/tex]

Now we have to add the coefficients of same variable having same powers.

[tex]=5x^{3}+10x^{2} -3x+3[/tex]

Hence if M(x)=[tex]4x^{2} -3x[/tex] , N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] then difference between {M(x)-N(x)} =[tex]5x^{3}+10x^{2} -3x+3[/tex].

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Answer:

B.

Step-by-step explanation:

If you dont understand what I wrote, just ask!

Answer:

B

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

[tex]\sqrt{6x^2}[/tex] × [tex]\sqrt{3x}[/tex]

= [tex]\sqrt{18x^3}[/tex]

= [tex]\sqrt{9(2)x^2(x)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{x^2}[/tex] × [tex]\sqrt{x}[/tex]

= 3 × [tex]\sqrt{2}[/tex] × x × [tex]\sqrt{x}[/tex]

= 3x × [tex]\sqrt{2}[/tex] × [tex]\sqrt{x}[/tex]

= 3x[tex]\sqrt{2x}[/tex] → B

Answer:

4/15

Step-by-step explanation:

You would have to multiply the fractions, but first reciprocate the dividend.

3/5 * 4/9

Multiply

3 * 4 = 12

5 * 9 = 45

12/45

Simplify using LCM, or the factor that applies to both sides which in this case is 3

12/3 = 4

45/3 = 15

The answer is 4/15

Answer:

4/-15

Step-by-step explanation:

[tex]\frac{3}{5}[/tex] ÷ [tex]\frac{-9}{4}[/tex]

Invert the second fraction and multiply

[tex]\frac{3}{5}[/tex]  ×[tex]\frac{4}{-9}[/tex]

= [tex]\frac{12}{-45}[/tex]

Simplify:

=[tex]\frac{4}{-15}[/tex]

Given:

To find out:

Find the area of rectangle?

Formula used:

Area of rectangle = length × breadth

Solution:

We know that,

Area of rectangle = length × breadth

= ( x + 2 ) × 3

= 3x + 6

Answer:

1/3

Step-by-step explanation:

3^2/5 x 3^-7/5

We know that a^b* a^c = a^(b+c)

3^(2/5 -7/5)

3^ (-5/5) = 3^ -1

We know that a^-b = 1/ a^b

3^-1 = 1 / 3

Answer:

f(5) = -8

Step-by-step explanation:

f(5) is the output value when the input value is 5

Reading the chart,

f(5) = -8

Answer:

[tex]M.A.D = 18.9[/tex]

Step-by-step explanation:

Given: 22,26,28,35,45,63,91

Required: Mean Absolute Deviation

The first step is to solve for the mean of the given data

[tex]Mean = \frac{\sum x}{n}[/tex]

where x->22,26,28,35,45,63,91 and n = 7

[tex]Mean = \frac{22+26+28+35+45+63+91}{7}\\Mean = \frac{310}{7}\\Mean = 44.29[/tex]

Then; subtract the calculated mean from each data

[tex]22 - 44.29 = -22.29\\26 - 44.29 = -18.29\\28 - 44.29 = -16.29\\35 - 44.29 = -9.29\\45 - 44.29 = 0.71\\63 - 44.29 = 18.71\\91 - 44.29 = 46.71[/tex]

Get Absolute Values of the above results

[tex]|-22.29| = 22.29\\|-18.29| = 18.29 \\|-16.29| = 16.29\\|-9.29| = 9.29\\|0.71| = 0.71\\|18.71| = 18.71\\|46.71|= 46.71[/tex]

Calculate the mean of the above result to get the M.A.D

[tex]Mean = \frac{\sum x}{n}[/tex]

[tex]M.A.D = \frac{22.29+18.29+16.29+9.29+0.71+18.71+46.71}{7}\\M.A.D = \frac{132.29}{7}\\M.A.D = 18.8985714286\\M.A.D = 18.9[/tex]

Answer:

[tex]18m[/tex]

Step-by-step explanation:

[tex]P=4a=4*4.5=18m[/tex]

Answer:

Perimeter = 18m

Step-by-step explanation:

square = has four sides

P = perimeter

P = 4 · 4.5 = 18m

Perimeter = 18m

Answer:d

its a apartment thats just one big room

Answer: 9.19 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is the height of the top of the ladder above the ground.

Replacing with the values given:  

Sin 45 = x/ 13

Solving for x  

sin45 (13) =x  

x= 9.19 ft

Feel free to ask for more if needed or if you did not understand something.  

Answer:

The slope is 3/2 and the y intercept is 4

Step-by-step explanation:

We want to write in the form

y = mx+b where m is the slope and b is the y intercept

-3x+2y = 8

Add 3x to each side

-3x+3x+2y = 3x+8

2y = 3x+8

Divide each side by 2

2y/2 = 3x/2 + 8/2

y = 3/2x +4

The slope is 3/2 and the y intercept is 4

Answer:

  B  5 cm

Step-by-step explanation:

The bottom leg of the shaded triangle is 1/2 of the length of the side, so is 3 cm. The vertical leg of the shaded triangle is the height of the pyramid, given as 4 cm.

The slant height is the hypotenuse of the shaded triangle, so can be found from your knowledge of the 3-4-5 triangle, or from the Pythagorean theorem.

If s is the slant height, then ...

  s^2 = 3^2 + 4^2 = 9 +16 = 25

  s = √25 = 5

The slant height is 5 cm.

Answer:

B.

F.

Step-by-step explanation:

Look at the angle. It is obtuse so the triangle is obtuse.

The sides are congruent so it is an isosceles.

Answer:

B,F

Step-by-step explanation:

sides are equal.

One angle=104°>90°

so itis an isosceles obtuse triangle.

Answer:

the maximum value is 3

Step-by-step explanation:

The maximum value of the function y = -2+5sin(pi/12(x-2)) is determined by taking the first derivative of the function. The first derivative is equal ( 5 pi/ 12 )* sin ((pi/12) (x-2)) = 0. x is equal to 4472 through the calculator. Substituting to the original equation, the maximum value is 3.

Answer:

Answer:

a(n) is equal to $45,000

(1.035)n-1

Step-by-step explanation:

Answer:

C) S: x = 1

Step-by-step explanation:

Answer:

C) S: x = 1

explination

Answer:

the answer is 78

Step-by-step explanation:

3x6 is 18

4x3 is 12

4x3 is 12

6x6 is 36

added together it is 78

Answer:   OA)  5:3

Step-by-step explanation:

5:3

5 to 3.  Or 5/3.      Are the 3 ways that you.can write a ratio.  

Answer:

OA, OB, OD

Step-by-step explanation:

It does depend on which side each number is on. If you are comparing the stawberries to whipped cream it would be 5:3 (OA).

But if you were to compare whipped cream to stawberries it would be 3:5 (OB) or 3/5 (OD)