What is the solution to the system of equations?
x = -4y
3x + 2y = 20

Answer:diagonals of rectangle are equal in length while diagonals of a parallelogram can be different lengths

Step-by-step explanation:

What is true of a rectangle that is not true of a parallelogram is that; the diagonals of a rectangle are equal but the diagonals of a parallelogram are not equal.

We are dealing with rectangles and parallelogram here.

Now, both rectangle and parallelogram have 4 sides respectively with 2 of the sides being equal.

Now, for a rectangle, the diagonals are always equal because all the internal angles are equal.

However, for a parallelogram, all the internal angles are not equal and as such the diagonals are also not equal.

In conclusion, what is true of a rectangle that is not true of a parallelogram is that the diagonals of a rectangle are equal but the diagonals of a parallelogram are not equal.

Read more about diagonals of Quadrilaterals at; https://brainly.com/question/25806235

Answer:

-2x + y = -3

Step-by-step explanation:

Find the slope:

9 - 5 / 6 - 4 = 4/2 = 2

Put it in point-slope form:

y - 5 = 2(x - 4)

rearrange:

y - 5 = 2x - 8

y - 2x = -3

-2x + y = -3

Answer:

-2(x+4)(x+2)

Step-by-step explanation:

thats the answerer

Step-by-step explanation:

step 1. the 3rd side of a triangle must be less than the addition of the other two sides

step 2. 3 is not less than the addition of 1 and 2

step 3. no. this cannot be a triangle.

Answer:

Exact Form:

r = 3/2

Decimal Form:

r = 1.5

Mixed Number Form:

r =1 1/2

Step-by-step explanation:

Answer:

hi hi hi hib hi j mv

Step-by-step explanation:

Answer:

Step-by-step explanation:

value of 6n-2 when n=3 is 6(3)-2 = 18-2 = 16

Answer:

$16442.18

Step-by-step explanation:

12,750 x 1.055^4.75 = 16442.18

Hope this helps

Answer: 25 percent

Step-by-step explanation:

The probability of pulling out a red colored marble is [tex]\frac{1}{4}[/tex] or 25%.

'Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.'

According to the given problem,

Total number of marbles = 16

Number of red marbles = 4

Probability = [tex]\frac{No of possible outcomes}{Total number of outcomes}[/tex]

The number of possible outcome is the number of red marbles = 4

Total number of outcomes is the total number of marbles = 16

⇒ Probability = [tex]\frac{4}{16}[/tex]

                        = [tex]\frac{1}{4}[/tex]

                        or, [tex]\frac{1}{4}[/tex] × 100

                        = 25%

Hence, the probability of pulling out a red marble is 25%.

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Answer:  max capacity is 1625 gallons.

Diagram is shown below.

=========================================================

Explanation:

We'll draw two horizontal number lines to help make a comparison or connection between percentages and tank capacity.

For the top number line, make 5 sections with the labels: 0%, 20%, 40%, 60%, 100%. The reason I'm picking 5 is because 40% = 40/100 = 2/5. So having 40% capacity means we're 2/5 full. That denominator 5 tells us how to subdivide each number line.

The bottom number line will also have 5 sections. We only know one label for this bottom portion right now. That label is 650. Place this directly under the "40%". This visually is one way to represent that 650 gallons is 40% filled. See the diagram below.

Cut the 650 in half to get 325. This corresponds to 40% cut in half to get 20%. Therefore, 325 will go under the 20%. Being 20% full means we have 325 gallons of water.

To figure out the 60% portion, we will multiply 325 by 3. This is because 3*20% = 60%, so 3*325 = 975. We'll write "975 gallons" under the "60%"

Then we have 1300 gallons under the 80% since 4*325 = 1300. Note how 4*20% = 80%, so that's where the '4' multiplier comes from.

Finally, we multiply 325 by 5 to get 1625 and that represents the full tank's capacity. Technically we could have just jumped to this directly without having to find the 60% or 80% capacity values, but it's good practice I think.

Again the diagram is shown below. The answer we're after is at the very bottom right corner. It's under the 100% to indicate the tank is completely full, or has reached max capacity.

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

Here's a way to find the answer without a double number line. This method involves setting up a proportion.

(40% full)/(650 gallons) = (100% full)/(x gallons)

40/650 = 100/x

40x = 650*100

40x = 65000

x = 65000/40

x = 1625

We confirm that the tank's max capacity is 1625 gallons.

Answer:

Step-by-step explanation:

Given equation of a straight line is,

y = -4 - 2x

Domain of the line (x) → {-3, -2, -1, 0, 1}

Therefore, range for the given set of domain will be,

Range (y) → {2, 0, -2, -4, -6}

[By substituting the value of x in the given equation we get the value of y]

Set of scatter points are,

(-3, 2), (-2, 0), (-1, -2), (0, -4), (1, -6)

Now we plot these points to get the discrete graph as attached.

Answer:

-7,3

Step-by-step explanation:

look at the pictire

Answer:

5.4661089e+63

Step-by-step explanation:

Complete question :

Jelena has a piece of fabric in the shape of a parallelogram the height is 10 feet and its base is 16 feet because the fabric into four equal parallelograms by current base and the height in half what is the area of each new parallelogram?

Answer:

40 ft²

Step-by-step explanation:

Given that:

Height = 10 feets

Base = 16 feets

Area of parallelogram = height * base

Area of parallelogram = 10 * 16 = 160 ft²

Area of each new parallelogram :

Area of parallelogram / number of divisions

= 160ft² / 4

= 40 ft²

Answer:

Hello, you forgot to attach an image. Please repost with a new image so I can respond.

Answer:

I think it's C

Step-by-step explanation:

Because the line is straight up and it on -2

Hope this helps if it's wrong i'm sorry but i hope it's right.:)

Answer:

C.) x = -5

Step-by-step explanation:

-4x = 20

x = -5

-4(-5) = 20

Answer:

C) x=-5

Step-by-step explanation:

-4x=20

divide both sides by -4.....

-4x÷-4=20÷-4

x=-5

Answer:

The amount of money they will spend at the restaurant is $35.16

Step-by-step explanation:

From the information given in the question, we have;

The amount Jessica, Genesis, and Violet received as bill at the restaurant, X = $29.30

The amount they wished to leave as tip, T = 20% (of the bill)

Therefore, the amount of money they will spend at the restaurant, 'A', is given as follows;

A = X + T

T = 20% of X = 20/100 × X = 0.2·X

∴ A = X + 0.2·X = 1.2·X

X = $29.30

A = 1.2·X = 1.2 × $29.30 = $35.16

The amount of money they will spend at the restaurant, A = $35.16

Answer:

Simplifying

8m + -14 = 3m + 46

Reorder the terms:

-14 + 8m = 3m + 46

Reorder the terms:

-14 + 8m = 46 + 3m

Solving

-14 + 8m = 46 + 3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3m' to each side of the equation.

-14 + 8m + -3m = 46 + 3m + -3m

Combine like terms: 8m + -3m = 5m

-14 + 5m = 46 + 3m + -3m

Combine like terms: 3m + -3m = 0

-14 + 5m = 46 + 0

-14 + 5m = 46

Add '14' to each side of the equation.

-14 + 14 + 5m = 46 + 14

Combine like terms: -14 + 14 = 0

0 + 5m = 46 + 14

5m = 46 + 14

Combine like terms: 46 + 14 = 60

5m = 60

Divide each side by '5'.

m = 12

Simplifying

m = 12

Answer:

m = 12

Step-by-step explanation:

We want to isolate "m" on one side of equation to see what it is equal to.

Step 1.

Add 14 to both sides of the equation to get 8m = 3m + 60

Step 2.

Subtract 3m from both sides to get 5m = 60

Step 3.

Divide both sides by 5 to get m = 12.

Answer:

x = 11

Step-by-step explanation:

33 divided by 3 is 11, and 11 times 3 is 33.

answer:

11

step-by-step explanation:

the easiest way to explain this is just to divide

33/3

which gets you the answer of 11

but here is another way to explain this

3x = 33

since the 3 and the x are times/multiplying each other and we need to get x by its self, all we do is move the 3 to the other side ( where 33 is ) but instead of multiplying them, we have the change the sign to dividing

3x = 33

/3 ----|>

( dont forgot to rewrite the equation!! )

x = 33/3

now all we need to do is divide 33 by 3 which gives us the answer of

11

hope this helps you! and if you ever need anymore help of problems like theses, just ask me :)

Answer:

the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Answer:

A

Step-by-step explanation:

-4(x^2+14x+49)-6

-4x^2-56x-196-6

-4x^2-56x-202

Answer:

F(x)=-4x^2 - 56x - 202

Step-by-step explanation:

Answer:

235 sq. cm

Step-by-step explanation:

Split into three different shapes

18*3=54

15*6=90

13*7=91

54+90+91=235

Answer:

= 5 /1 2

Step-by-step explanation:

Answer:

infinite

Step-by-step explanation:

you could say 1/1 or 4/4 or 146798245/146798245

any number over itself is a whole

Does that answer it? I feel like I'm missing something

Answer:

Any

Step-by-step explanation:

You can write one whole by making the numerator and denominator the same number. Examples:      2/2      3/3      4/4      5/5      6/6      7/7      8/8      9/9     10/10      100/100      20/20

Answer:

49

Step-by-step explanation:

3500 divided by 5 equals 700

700 times 7% equals 49

Answer:

She earns $0.5 per hour

Step-by-step explanation:

mark brainliest

_____ earns $23.4 per hour, $.1 less than ___