Solve this system of linear equations. Separate
the x- and y-values with a comma.
13x = -21 - 2y
- 15x = 23 + 2y

Answer:

Jack, Nate, Oliver

Step-by-step explanation:

[tex]1\frac{1}{4} < |-2\frac{1}{4}| < |3\frac{1}{2}|[/tex]

Answer:

10 + 4(-8q - 4)

= 10 + 4 * (-8q) + 4 * (-4)     (Distribute 4)

= 10 - 32q - 16                    (Expand)

= -32q - 6                           (Combine like terms)

Answer:

[tex]-32q-6[/tex]

Step-by-step explanation:

[tex]10+4(-8q-4)[/tex]

[tex]10+4(-8q)+4(-4)[/tex]

[tex]10+-32q+-16[/tex]

[tex]-32q+-16+10[/tex]

[tex]-32q+-6[/tex]

Answer:

y+2=-3(x-2)

Step-by-step explanation:

y+2=-3(x-2)

Answer:

No, it is isosceles.

Step-by-step explanation:

(In assumption that the points have been plotted on a graph)

After the points have been plotted we need to find the distance between each set of points. DE, DF, and, EF.

Finding DE and DF

To find DE and DF, we need to do some counting. From point D to point E, we travel 2 units right, and 8 units up forming an imaginary triangle with a right angle. From D to F, we again travel 8 units right and 2 units up, forming the same triangle, just oriented slightly differently.

Using the Pythagorean Theorem ([tex]a^2 + b^2 =c^2[/tex]) we can plug in some values to find C and two of our side lengths.

[tex]a^2+b^2=c^2[/tex]

[tex]2^2+8^2=c^2[/tex]

[tex]4 + 64 = c^2[/tex]

[tex]68=c^2[/tex]

[tex]\sqrt{68} =c[/tex]

[tex]8.25=c[/tex]

The lengths of DE and DF are both roughly 8.25

Finding EF

Finding EF is going to be the same process but just a little different.

If we start at E and travel to F, we move down 6 units and right 6 units, forming another right triangle. now we use the Pythagorean Theorem ([tex]a^2 + b^2 =c^2[/tex]) again, to find C and the length of EF.

[tex]a^2 + b^2 =c^2[/tex]

[tex]6^2+6^2=c^2[/tex]

[tex]36+36=c^2[/tex]

[tex]72=c^2[/tex]

[tex]\sqrt{72} =c[/tex]

[tex]8.49=c[/tex]

The length of EF is roughly 8.49 units.

Since not all of the sides of the triangle are the length, triangle DEF is not equilateral. Instead triangle DEF is isosceles.

Answer:

No it is isosoles

Step-by-step explanation:

Question:

Select the three expressions that are equivalent to [tex]6^2[/tex]:

a: [tex](\frac{6^9}{6^8})^2[/tex]

b: [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]

c: [tex]\frac{6^4}{6^2}[/tex]

d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

Answer:

a: [tex](\frac{6^9}{6^8})^2[/tex]

c: [tex]\frac{6^4}{6^2}[/tex]

d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

Step-by-step explanation:

Given

[tex]6^2[/tex]:

Required

Find equivalent expressions

To solve this question; we'll simplify options a to do, one after the other

a: [tex](\frac{6^9}{6^8})^2[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that;

[tex](\frac{6^9}{6^8})^2 = (6^{9-8})^2[/tex]

[tex](\frac{6^9}{6^8})^2 = (6^{1})^2[/tex]

From laws of indices;

[tex]{a^m}^n = a^{m*n} = a^{mn}[/tex]

This implies that

[tex](\frac{6^9}{6^8})^2 = (6^{1*2})[/tex]

[tex](\frac{6^9}{6^8})^2 = 6^{2}[/tex]

Hence,  [tex](\frac{6^9}{6^8})^2[/tex] is equivalent to [tex]6^2[/tex]

b. [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]

From laws of indices;

[tex]a^m * a^n = a^{m+n}[/tex]

This implies that

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{1+1+1+1+1+1}}{6^{1+1+1}}[/tex]

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{6}}{6^{3}}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{6-3}[/tex]

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{3}[/tex]

Hence; [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex] is not equivalent to [tex]6^2[/tex]

c.  [tex]\frac{6^4}{6^2}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6^4}{6^2} = 6^{4-2}[/tex]

[tex]\frac{6^4}{6^2} = 6^{2}[/tex]

Hence, [tex]\frac{6^4}{6^2}[/tex] is equivalent to [tex]6^2[/tex]

d.  [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

From laws of indices;

[tex]a^m * a^n = a^{m+n}[/tex]

This implies that

[tex]\frac{6^5 * 6^7}{6^{10}} = \frac{6^{5+7}}{6^{10}}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{5+7-10}[/tex]

[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{2}[/tex]

Hence, [tex]\frac{6^5 * 6^7}{6^{10}}[/tex] is equivalent to [tex]6^2[/tex]

Answer:

x=8 y=21

Step-by-step explanation:

27 + 3y = 90 degrees

divide by 3

9+y=30

y=21 degrees

90+8x+18+x=180

9x+108=180

divide by 9

x+12=20

x=8

Answer:

11/51 or 0.21468627

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:sorry no spanish

Step-by-step explanation:

Answer:

Step-by-step explanation:

plz mark me brainliest

income elasticity measures the responsiveness of income to changes in supply while price elasticity of demand measures the responsiveness of demand to a change in price. ... income elasticity refers to a horizontal shift of the demand curve while price elasticity of demand refers to a movement along the demand curve.

hope it helps

Answer:

3.078

Step-by-step explanation:

tan 72° = 3.078

Answer:

tan 72 = 3.078

Step-by-step explanation:

rounded like requested

Answer:

Option B

Step-by-step explanation:

Total Probability = 1

Probability of passing = 0.77

Probability of failing = 1-0.77

=> 0.23

Answer:

32.13

Step-by-step explanation:

15.3= c/2.1

c= 15.3* 2.1

c= 32.13

Answer:

32.13 aka C got it right on my quiz

Mark the person on top as Brainliest there are right and answered first

Answer:

6 hrs

Step-by-step explanation:

4:5

2.4 : 3.2

2.4+3.2=6 hrs

Answer:zooooooooooooooooooooooooooooooooom

Step-by-step explanation:

Answer:

D. 110Db

Step-by-step explanation:

Db = 10log (10^-1 / 10 ^-12)

Db = 10log(10^11)

Db = 110

(even without calculating, we could guess that it was 110Db. 70 Db is about the normal talking Db, and rock concerts are generally a lot louder than regular talking)

Answer:

D. 110Db

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

The sum of the angles in a triangle is 180. In a right triangle, there is one 90 degree angle. If the second angle is 25, and 90+25+the last angle must add up to 180, simple math can find the value of the last angle.

180-90-25=65

Answer:

65

Step-by-step explanation:

right angle=90

[tex] {90}^{0} [/tex]

therefore 90-25=the third angle 65

Answer:

i would say  f(x) = (x-2)(x-3)(x+2) but i could be wrong its a confusing question the way it's worded

Step-by-step explanation:

Answer:

180 centimeters cubed.

Step-by-step explanation:

The volume of a cuboid is lwh.

Length × Width × Height

(9)×(5)×(4)

(45)×(4)

=180

Answer:

Solution,

[tex]volume \: of \: cuboid \\ = l \times w \times h \\ = 5 \times 9 \times 4 \\ = 180 {cm}^{3} [/tex]

hope this helps...

Good luck on your assignment...

Answer:

A and B has the same constant of proportionality

Step-by-step explanation:

[tex]y \propto x[/tex]

[tex]y = kx ----1[/tex]

Where k is the constant of proportionality

We are supposed to find Which relationships have the same constant of proportionality between y and x as in the equation [tex]y=\frac{1}{2}x[/tex]

On comparing with 1

[tex]k = \frac{1}{2}[/tex]

A)6y = 3x

[tex]y = \frac{3}{6}x\\y = \frac{1}{2}x[/tex]

So, this equation has the  same constant of proportionality

B)[tex](x_1,y_1)=(2,1)\\(x_2,y_2)=(4,2)[/tex]

To find the equation :

Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

So, [tex]y - 1=\frac{2-1}{4-2}(x-2)\\y-1=\frac{1}{2}(x-2)\\y-1=\frac{1}{2}x-1\\y=\frac{1}{2}x[/tex]

So, this equation has the  same constant of proportionality

C)

[tex](x_1,y_1)=(1,2)\\(x_2,y_2)=(2,4)[/tex]

To find the equation :

Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

So, [tex]y - 2=\frac{4-2}{2-1}(x-1)\\y - 2=2(x-1)\\y - 2=2x-2\\y=2x[/tex]

So, this equation do not has the same constant of proportionality

D)

[tex](x_1,y_1)=(2,1)\\(x_2,y_2)=(3,2.5)[/tex]

To find the equation :

Formula :[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

So, [tex]y - 1=\frac{2.5-1}{3-2}(x-2)[/tex]

[tex]y-1=1.5(x-2)\\y-1=1.5x-3\\y=1.5x-2[/tex]

So, this equation do not has the same constant of proportionality

Hence A and B has the same constant of proportionality

Options A and B has the same constant of proportionality.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

For option A,

6y=3x

y=3/6x

y=1/2x

This equation has the same constant of proportionality

For Option B

(2,1) and (4,2)

m=2-1/4-2=1/2

We have equation as y-y₁=m(x-x₁)

y-1=1/2(x-2)

y-1=1/2x-1

y=1/2x

this equation has the  same constant of proportionality

For option C

(1,2) and (2,4)

m=4-2/2-1=2

We have equation as y-y₁=m(x-x₁)

y-2=2(x-1)

y-2=2x-2

y=2x

Equation do not has the same constant of proportionality

and option D does not have same constant of proportionality

Hence options A and B has the same constant of proportionality.

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Answer:

For mean

To show the mean of height measures for 40 students, you need to write-out exactly 40 heights into a calculator and add them up.

Then divide that total number by 40.

Step-by-step explanation:

Eg for 4 students

5 , 5.1, 5.2, 5.7 = 21ft

21/4 = 5.25ft.

Apply the same method but use 40 measures in addition for calulator or long addition. Then divide by 40.

Answer:

From the dentis go 6 miles east to the pool,

Then, go 9 miles north to the school,

Finally, go 13 miles west to the bank.

Answer:

x = 4/(11y)

Step-by-step explanation:

22yx = 8

Solve for x so divide each side by 22y

22xy/22y = 8/22y

x = 4/(11y)

Answer:

Brainleist!!!!!

Step-by-step explanation:

x/-4 + 8 = 12

x/-4 = 4

x = -16

Answer:

x = -16

Step-by-step explanation:

x/-4 -(-8)=12

Negative times negative is positive.

x/-4 + 8 = 12

Subtract 8 on both sides.

x/-4 = 12 - 8

x/-4 = 4

Multiply -4 on both sides.

x = 4 × -4

x = -16

Answer:

0.50 is a decimal fraction of 1/2.

Step-by-step explanation:

Please mark me as brainliest. I need to rank up.

Answer:

A pair of boots is on sale for 65 percent off. The original price of the boots in x, $56.12

Step-by-step explanation:

The decimal that is initially being multiplied by x will always be the tax amount so .65 equal 65% so they match. And once you go through with the equation you will see that the number you end up with is 56.12 so it is between original price and sales price to see if you get the correct answer. So seeing as the scenario they gave us above was for a discount or VAT price we would be lead to assume that we are looking for the ORIGINAL price.

A pair of boots are on sale for 65 percent off. The original price of the boots in x was $56.12

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

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Answer:

Y=2/3

Step-by-step explanation:

Y varies directly as X

Y=k x

K is a constant

6=k72

K=1/12

Y=1/12x

Y=1/12×8

y=2/3

Answer:

k = -2

Step-by-step explanation:

Given equation

1-kx = -3y

point on this line =  (4,-3)

If point lies on the given line, then if we plug in the value  (4,-3), then it will satisfy the equation

1-kx = -3y

using x = 4 and y = -3

1-k*4 = -3*-3

1 - 4k = 9

=> -4k = 9 -1 = 8

=> k = 8/-4 = -2

Thus, value of k is -2

Answer:

Amp: 4

Period: 2π

Answer: B

Step-by-step explanation: