Consider the system of equations, x - 2y = 8 and -2x+4y=-16.
What is x - 2y = 8 in slope-intercept form?
What is -2x + 4y = –16 in slope-intercept form?
How many solutions will there be?
What will the graph of the system look like?​

Answer:

C. 50

Step-by-step explanation: The measure of angle RWL is 50°. It is an acute angle.

Hopefully yo had this question.

A ratio expresses the number of times one number contains another. The length represented by 1 centimeter in real is 5ft.

A ratio expresses the number of times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.

Given that a floor plan is drawn using a scale of 3cm/15ft. Therefore, the 3 cm on the floor plan represents 15 ft in real. Thus, we can write the ratio as,

Ratio = Length on floor plan/Length in real = 3cm / 15 ft

Length on floor plan/Length in real = 3cm / 15ft

Now, the length represented by 1 centimeter in real can be written as,

Length on floor plan/Length in real = 3cm / 15ft

1 cm/Length in real = 3cm / 15ft

Length in real = (15ft × 1cm)/3cm

Length in real = 5 ft

Hence, the length represented by 1 centimeter in real is 5ft.

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Answer:

it is B, the volume of the prism B is 2 times the volume of Prism A

Answer:

[tex] -3 +2y \leq 4x[/tex]

[tex] 2y \leq 4x+3[/tex]

[tex] y \leq 2x + \frac{3}{2}[/tex]

And that's different from the claim of the student that:

[tex] y \geq 2x +\frac{3}{2}[/tex]

The error of the student is that he/she changes the sign of the inequality from [tex] \leq[/tex] to [tex]\geq[/tex] and that's not possible since we don't multiply both sides of the equation by -1

Step-by-step explanation:

For this case we have the following inequality:

[tex] -3 +2y \leq 4x[/tex]

We want to rewrite the last expression with y in the left and x in the right so we can begin adding 3 in both sides of the inequality and we got:

[tex] 2y \leq 4x+3[/tex]

Now we can divide both sides of the inequality by 2 and we got:

[tex] y \leq 2x + \frac{3}{2}[/tex]

And that's different from the claim of the student that:

[tex] y \geq 2x +\frac{3}{2}[/tex]

The error of the student is that he/she changes the sign of the inequality from [tex] \leq[/tex] to [tex]\geq[/tex] and that's not possible since we don't multiply both sides of the equation by -1

The two column proof has shown that:

The two triangles are congruent by SAS congruency postulate

How to use the Two Column Proof?

The two column proof to show that the two triangles are congruent is:

Statement 1: C is the midpoint of AD and BE

Reason 1: Given

Statement 2: AC ≅ CD

Reason 2: Definition of midpoint

Statement 3: BC ≅ CE

Reason 3: Definition of midpoint

Statement 4: ∠ACB ≅ ∠ECD

Reason 4: Vertical angles are congruent

Statement 5: ΔABC ≅ ΔDEC

Reason 5: SAS congruency postulate

Answer:

A, 0.5(x)(x+2)=24, D, x²+2x-48=0, and E, x²+(x+2)²=100

Step-by-step explanation:

A and D are correct because they simply involve the Area of a Triangle formula. A has the formula in the same format, but D has the 0.5 divided from by both sides.

E, on the other hand, uses the Pythagorean theorem to solve for both legs.

Answer:

a.17.5

Step-by-step explanation:

Answer:

C. 23.5

Step-by-step explanation:

The median is the line in the middle of the inside of the box.

If we locate the line in the middle of the box, we can see that it is above the number 23.5.

Therefore, the median of this box plot is 23.5 and the correct answer is choice C.

Answer:

[tex]x^2+11x+18[/tex]

[tex](x+9)(x+2)[/tex]

Factoring, if [tex]x^2+11x+18=0[/tex]

The roots/zeros are:

[tex]x=-2,\:x=-9[/tex]

Answer:

A

Step-by-step explanation:

180-91-33=56

Answer:

rectangular prism is right

Step-by-step explanation:

Answer:

rectangular prism

Step-by-step explanation:

a hexagonal would look different and have 6 sides instead of 4 and it couldn't be a pyramid because these are rectangles not triangles

Answer:

approximately 3.24 times greater

Step-by-step explanation:

The formula for the area of a circle of radius r is A = πr².  Because we are given the diameter here (not the radius), we substitute d/2 for r in the above formula, obtaining:

A = π(d/2)²

Case 1:  A = π [18 in / 2]² = π(9 in)² = 81π in²

Case 2:  A = π[10 in/2]² =  π[5 in]² = 25π in²

Dividing 81π in² by 25π in² gives us the desired result:

The area of the larger pizza is 81/25 times the area of the smaller one, or approximately 3.24 times greater.

Answer:

50%

Step-by-step explanation:

If there are 4 parts to the spinner, 4 is the whole. Since there are 2 even numbers (2&4), the fraction would be [tex]\frac{2}{4}[/tex], which is simplified to [tex]\frac{1}{2}[/tex]. And because [tex]\frac{1}{2}[/tex] could also turn into [tex]\frac{50}{100}[/tex], the percentage is 50%.

Hope this helps :)

Answer:

A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.

What is the probability of landing on an even number? (Write your final answer as a percentage.)

ANSWER:

P(event) = 50%

Step-by-step explanation:

just took on EDGE 2020 hope it helps.      

:)

31

Step-by-step explanation:

We need to find the value of angle D so that we can solve for X. To do that we need to find the value of angle A and that value will be the same value as D because these angles are the same.

To do that we have to add angles C and B together and that equals 118°. Then we have to realize that all the angles of a triangle add up to 180°. So then we have to subtract 118° from 180° and that equals 62°. So now we have the value of A.

If the value of angle A is 62° then that must be the value of angle D because these two angles are the same. So now that we have the value of angle D we need to solve for X. This equation is asking what times 2 equals the value of X. We know the value of X is 62°. So what times 2 equals 62°?

31×2=62°

Therefore the value of X is 31

Hope this helps! If you have any more questions or you need further clarification please comment down below or message me! Good luck!

Answer:

A 100% sale would be the greatest discount

Step-by-step explanation:

100% off would cost $0. The highest percent off would be the greatest or the highest amount of dollars off.

if this helped please hit thanks button + rate <3

Answer:

Original price reduced by 30%.

Answer:

any translation can be replaced by a rotation

Answer:

33 times

Step-by-step explanation:

Assuming a number cube is a 6 sided die, half of the numbers are even

65 * 2 = 32.5, which rounds up to 33

Answer:

p = (5t)/9

Step-by-step explanation:

9 mins ---------- 5 pages

1 min -------------5/9 page

t mins ------------5/9 x t pages

thus

p = (5t)/9

The linear equation in two variable that represents the number of pages (p) Vicky reads in any given time interval (t) will be;

⇒ p = 5t/9

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

She can read 5 pages in 9 minutes at a constant rate.

Now,

Since, She can read 5 pages in 9 minutes at a constant rate.

Hence, In 9 minutes = 5 pages

So, In 1 minutes = 5/9 pages

Hence, In t minutes, Number of pages = 5t/9

Thus, We can formulate;

The linear equation in two variable that represents the number of pages (p) Vicky reads in any given time interval (t) will be;

⇒ p = 5t/9

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The value of a when rewriting (6/17)^9 x as a^x is (6/17)^9.

To find the value of a when we rewrite (6/17)^9 x as a^x, we are looking for a base a that can represent (6/17)^9 raised to the power x. To achieve this, we recognize that (6/17)^9 can be the value of the base a. Therefore, the expression (6/17)^9 x is the same as a^x, where a is equal to (6/17)^9.

Answer:

The answer is c. 242 ft^2

Step-by-step explanation:

i JUST TOOK THE TEST AND THIS WAS THE ANSWER!

Answer:

We must calculate the length of the "slope"

Hypotenuse^2 = 11^2 + 4^2

Hypotenuse^2 = 121 + 16

Hypotenuse^2 = 137

Hypotenuse = 11.7

Area of "slope" surface = 11.7 * 6 = 70.2 sq feet

Area of Base = 6 *4 = 24 sq feet

Area of rear side = 6 * 11 = 66 sq feet

Area of both sides = 44 sq feet

Total area = 70.2 + 24 + 66 + 44 = I get 204.2 which is NOT any of the choices.  

****************************************************

Geez, I recalculated everything and still got the same answer.  Any idea where I went wrong?

Step-by-step explanation:

Answer:

Step-by-step explanation:

A on edge

Answer:

Got it! its D. 60 degrees and 300 degrees.

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Make an equation

[tex]\frac{volume_1}{surface-area_1} = \frac{volume_2}{surface-area_2}[/tex]

[tex]\frac{729}{324} = \frac{512}{x}[/tex]

Step 2:  Cross multiply

[tex]\frac{729}{324} = \frac{512}{x}[/tex]

[tex]729(x) = 324(512)[/tex]

[tex]729x = 165888[/tex]

Step 3:  Divide both sides by 729

[tex]729x / 729 = 165888 / 729[/tex]

[tex]x = \frac{165888} {729}[/tex]

[tex]x = 227.555...[/tex]

Answer: [tex]x = \frac{165888} {729}[/tex] or in decimal form -  [tex]x = 227.555...[/tex]

Answer:

256 m²

Step-by-step explanation:

(Ratio of sides)³ = Ratio of volumes

729/512 = (Ratio of sides)³

Ratio of sides = 9/8

(Ratio of sides)² = ratio of area

(9/8)² = (324/x)

x = 256

Answer:

0y=x+2

Step-by-step explanation:

The correct equation which has the coordinate (0, 2) as a point on its graph is,

⇒ y = x + 2

⇒ y = 2

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

the coordinate (0, 2) as a point on its graph.

Hence, The correct graph is satisfy the equation of line.

So, We can check as;

y = x - 2

2 = 0 - 2

2 ≠ - 2

y = x + 2

2 = 0 + 2

2 = 2

y = 2

2 = 2

y = 2x

y = 2 (0)

y = 0

Thus, The correct equation which has the coordinate (0, 2) as a point on its graph is,

⇒ y = x + 2

⇒ y = 2

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Answer:

the answer is the last one.

Step-by-step explanation:

First we multiply both sides of the inequality by -24 to isolate the variable.

Then, since we are multiplying with a negative number, the inequality sign flips.

All we do next is calculate.

Step by step we have

[tex] \frac{h}{ - 24} \leqslant 18 \\ - 24 \times \frac{h}{ - 24} \geqslant - 24 \times 18 \\ h \geqslant - 432[/tex]

Answer:

d

Step-by-step explanation:

i took quiz on edg 2020

Answer:

15

Step-by-step explanation:

When two lines intersect the sum of the angles on one side of the line will be equal to 180.  This means that you can add the two values and get 180.

Add the values you have and solve for x.

6x + 3 + 87 = 180

6x + 90 = 180

6x = 90

x = 15

Answer: x = 14

Step-by-step explanation: assuming that (6x + 3) degrees = 87 degrees

6x+3 = 87

6x = 84

x = 14

Answer:

70 Forsure E2020

Step-by-step explanation:

The coordinates of the point of equilibrium are (-60, 110).

A demand curve is graph that shows the relationship between the price of a good or service and the quantity demanded within a specified time frame.

Mathematically, we can write demand curve equation as -

Q = a - bP

where -

Q = linear demand curve

a = factors influencing demand besides price

b = slope

P = price

Given is to find the price at the point of equilibrium.

Equation for supply curve -

y = mx + c

y = {(25 - 20)/(10 - 0)}x + c

y = x/2 + 20

Equation for demand curve -

y = mx + c

y = {(10 - 20)/(40 - 30)}x + c

y = - x + 50

Point of equilibrium -

The point where demand equals to supply. We can write -

x/2 + 20 = - x + 50

x/2 - x = 30

- x/2 = 30

x = - 60

then -

y = 60 + 50

y = 110

Therefore, the coordinates of the point of equilibrium are (-60, 110).

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Answer:

Step-by-step explanation:

A x=sqrt30^2-25^2                                                                                               b.) 16.58

Answer:

A x=sqrt30^2-25^2                                                                                               b.) 16.58

Step-by-step explanation:

Answer:

D: (-1,-4)

Step-by-step explanation:

Just did it. Got it right