Which lines are parallel to 8x + 4y = 5? Select all that apply.
A. y = –2x + 10
B. 16x + 8y = 7
C. y = –2x
D. y – 1 = 2(x + 2)

9514 1404 393

Answer:

  -8x^2·y·z +3y·z^2 -4y

Step-by-step explanation:

It can be helpful to make sure the variables in each term are in alphabetical order. This makes it easier to see "like" terms. The variables in each term are ...

  x^2 y z

  y z^2

  x^2 y z

  y

Only the first and third terms are like terms, so those are the only ones that can be combined. Their coefficients are -7 and -1, so sum to -8. The combined term is of highest degree, so in standard form we list that term first.

  = -8x^2·y·z +3y·z^2 -4y

Answer:

A = 135 cm²

Step-by-step explanation:

The figure is composed of 2 triangles.

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

The total area is the sum of the area of both triangles

A = [tex]\frac{1}{2}[/tex] × 18 × 7 + [tex]\frac{1}{2}[/tex] × 18 × 8

   = 9 × 7 + 9 × 8

   = 63 + 72

   = 135 cm²

Answer:

D

Step-by-step explanation:

Given the root of a quadratic equation x = a then the factor is (x - a)

Here the roots are x = 5 and x = 7 , then the corresponding factors are

(x - 5) , (x - 7)

The equation is then the product of the factors, that is

y = (x - 5)(x - 7) ← expand using FOIL

   = x² - 7x - 5x + 35 ← collect like terms

y = x² - 12x + 35 → D

The quadratic equation has roots of 5 and 7 so, the quadratic equation would be equal to [tex]y = x^{2} - 12x + 35[/tex].

Suppose that the given quadratic equation is

ax^2 + bx + c = 0

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

It is Given the root of a quadratic equation x = a then the factor is (x - a)

Here the roots are x = 5 and x = 7 , then the other factors are

(x - 5) , (x - 7)

The equation is then the product of the factors,

[tex]y = (x - 5)(x - 7)\\y = x^{2} - 7x - 5x + 35 \\y = x^{2} - 12x + 35[/tex]

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Answer: 7.5 feet

Step-by-step explanation:

.

Answer:

Option C

Step-by-step explanation:

By using linear best fit calculator for the given data,

Equation of the line of best fit will be,

y = -5.2514x + 74.94413

Here, x = Weight of the ball

y = Distance thrown by Davis

Now substitute y = 30 feet to calculate the weight (x) of the ball.

30 = -5.2514x + 74.94413

5.2514x = 74.94413 - 30

5.2514x = 44.94413

x = 8.5585

x ≈ 8.6 pounds

Therefore, David can throw a ball 30 feet weighing 8.6 pounds.

Option C will be the answer.

Answer:

64

Step-by-step explanation:

As the angle in the bottom is shared and the 2 sides are proportional, one is 40 and 80 (times 2) and the other, 25 and 50 (times 2) so the triangles are similar so all we do is multiply 32 by 2 as its the rule. So the answer is 64.

Answer:

P = 48

4 + 4(two given lengths) = 8

48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)

40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm

Answer:

5 + 3.5h = 29.50

Step-by-step explanation:

The flat fee means that you will be paid the money with no change to it.

So you will not multiply it.

3.5h means that you are adding 3.50 every hour according to the question

So summary:

5+3.5h = 29.50

Evaluation:

5+3.5h = 29.50

24.50 = 3.5h

h = 7

Sofia worked 7 hours

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

inverse, 50

Step-by-step explanation:

By looking at this, we can realize that it cannot be direct, because the y value does not increase when the x value does. Furthermore, we can realize that when the x and y values are multiplied, they all equal 50. This is a property of inverse variation. This means the relation is inverse. Lastly, the constant is 50 because that is the common product.

Answer:

yes because the truck is smaller than the parking space. the area is 66.25 sq. ft

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

Answer:

(9-7)

Step-by-step explanation:

1st

Vertex

we have

f(x)=x²-18x+88

let

y=x²-18x+88

comparing above equation with ax²+bx+c

we get

a=1

b=-18

c=88

now

vertex(x,y)=(-b/2a,f(-b/2a))

x=(18/2×1)=9

y=f(9)=9²-18×9+88=7

SO

VERTEX(X,Y)=(9,7)

Answer:

55degrees

Step-by-step explanation:

Let the other angles of the triangle are x, x degrees. Since the sum of angles in a  triangle is 180degrees, hence;

<A + <B+ <C = 180

x + 70 + x = 180

2x+70 = 180

2x = 180 - 70

2x = 110

x = 110/2

x = 55

SInce <A is equal to x, hence <A is 55degrees

Answer:

12 yards

Step-by-step explanation:

h = (3×198)/(½×11×9)

= 594/(49.5)

= 12 yds

Answer:

Mean: 45.8 (rounded to the tenth place)

Median: 46

Mode: 46

Range: 84

Step-by-step explanation:

The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.

To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.

In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:

diagonal = √(side^2 + side^2 + side^2)

Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:

diagonal = √(7^2 + 7^2 + 7^2)

diagonal = √(49 + 49 + 49)

diagonal = √147

diagonal ≈ 12.124 inches

Therefore, the correct answer is:

12 inches

This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.

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Answer:

flood is the answer fycgguvvytugcut because snow turns into water

Answer:

Evan needs enough paint to cover 448in^2

He needs enough soil to fill 768in^3

Step-by-step explanation:

Answer:

100,000-110,000 pounds

Step-by-step explanation:

one ton equal to 2000 pounds

50x2000=100000

55x2000=110000

100,000-110,000 pounds

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Answer:

100,000-110,000

Step-by-step explanation:

2000x50= 100,000

2000x55= 110,000

Answer:

STEP BYy-step explanation:

I need help with this to! When i get the answer ill let ya know

We have given that skateboard was originally priced at $53.00.

It is on sale for 15% off.

We have to determine the sale price of the skateboard.

The discount is 15%.

So we have to find 15% of $53.

Divide the percentage by 100 so we will get the the desimal form of percentage.

convert 15% into desimal

[tex]\frac{15}{100}=0.15[/tex]

Multiply 0.15 by original price,

[tex]0.15\times 53=7.95[/tex]

The original price discounted by this amount

Therfore he save $7.95

Sale price=53$-7.95=45.05

Therefore we get the salling price is $45.05.

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Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

The name of the polygon with the vertices at (0,0), (4,8), (12,8) and (16,0) is a Trapezoid. Option A

A trapezoid is a four-sided flat polygon.

It has two parallel sides that has different lengths. The other two sides are non-parallel and  also does have lengths.

A trapezoid has four angles, two of which are acute and two of which are obtuse.

A trapezoid's parallel sides are calld bases, while its non-parallel sides are called legs.

The height of a trapezoid is the perpendicular distance between its two bases. Trapezoids appear in a variety of sizes and forms, but its distinguishing feature is the presence of two parallel sides.

|             o                          o

|
|
|
|
|
|

|o___________________________o_

If you connect the "o" which represents the coordinates, you will draw a Trapezod.

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Answer:

2 y^3

Step-by-step explanation:

Area of rectangule is length * width

Answer:

107 chocolate cupcakes sold

78 chocolate covered strawberry cupcakes sold

Step-by-step explanation:

to solve one of these questions, you need to write two equations and then substitute back and forth to get the answer.

to start, we need to write an equation.

2.75c+3.75s=586.75

and c+s=185

reworking the second equation to isolate s, we'll then substitute it into the first one.

so s=185-c

2.75c+3.75(185-c)=586.75

2.75c+693.75-3.75c=586.75

combine like terms (the ones with a c variable attachment)

2.75c-3.75c=-1c

693.75-1c=586.75

-693.75

-107=-1c

/-1

107=c

put that back into the second equation

107+s=185

78=s

Answer:

[tex]y=4x-5[/tex]

Step-by-step explanation:

Slope-intercept form is given as [tex]y=mx+b[/tex]. We can simply manipulate and rearrange the given function to be in this form:

[tex]8x-2y=10,\\-2y=-8x+10,\\\boxed{y=4x-5}[/tex]

Answer:

7cm

Step-by-step explanation:

588 / 12 = 49

[tex]\sqrt{49}[/tex] = 7 * Since 7 times 7 equals 49