Which is the graph of the linear equation 3x – 4y = –12? On a coordinate plane, a line goes through points (0, 3) and (4, 0). On a coordinate plane, a line goes through points (negative 4, 0) and (0, negative 3). On a coordinate plane, a line goes through points (0, negative 3) and (4, 0). On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).

Answer:

317

Step-by-step explanation:

951/ 3 is 317

for this problem you can use a calculator, or long division.

Answer:

182

Step-by-step explanation:

2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )

= {182cm}^{2}

The area of a 2D form is the amount of space within its perimeter. The total surface area of the prism is 184 cm².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area is the sum of the area of the 5 faces of the triangular prism, therefore, we can write,

Surface area = sum of the Area of the rectangular faces + 2(Area of the triangle base)

Now, the Area of a rectangular face is,

Area = (5cm × 10cm) + (5cm × 10cm) + (6cm × 10cm)

        = 160 cm²

The area of the triangle base,

Area = 0.5 × 4cm × 6cm = 12 cm²

Further, the total area of the Prism will be,

Total surface area = 160cm² + 2(12cm²) = 184cm²

Hence, the total surface area of the prism is 184 cm².

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Answer:

Step-by-step explanation:

complementary angles =90 degrees

Angle 2+ angle 1 = 90 degrees

Angle 1 =35 degrees

Angle 2 = 90-35 = 45 degrees

Angle 2 + angle 3 = 90

Angle 3= 90-45 = 35 degrees ( proved)

I hope this help

Answer:

Given: Angle1 and Angle2 are complements,

Angle2 and Angle3 are complements, and mAngle1 = 35°.

Prove: mAngle3 = 35°

4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.

Complete the missing parts of the paragraph proof.

By the  

✔ congruent complements theorem

, we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of  

✔ congruent

angles. Then, using the  

property

✔?

, the measure of angle 3 is  

✔ 35

degrees.

Step-by-step explanation:

Answer:

rectangles

Step-by-step explanation:

convenient to use rectangles for the individual areas because they will combine horizontally and vertically to make larger rectangles with no gaps.

Answer:

  106 1/7

Step-by-step explanation:

The line ...

  ī = 106.142857143

tells you the mean of the dataset is 106 1/7.

Answer:

The circumference of the circle is 43.96m. This number rounded to the nearest tenth would make the circumference 44m.

Step-by-step explanation:

First, we must know the formula for finding the circumference of a circle.

[tex]Circumference = d\pi[/tex]

We are given the radius. In order to find the diameter, then we have to multiply the radius by 2 because the radius is half the size of the diameter.

7 * 2 = 14

Now, let's plug in 14 into our formula. We will 3.14 for pi.

[tex]Circumference=(14)\pi[/tex]

[tex]Circumference=43.96[/tex]

This number rounded to the nearest tenth is 44.

Answer:

Answer is 44 m

Answer is rounded to the nearest tenth place.

Step-by-step explanation:

[tex]given \: that \\ radius \: of \: circle \: (r) = 7 \: m \\ we \: know \: that \\ circumference \: = 2\pi \: r \\ on \: substituting \: r = 7 \: m \: in \: formula \\ we \: get \\ circumference \: = 2\pi \times 7 \\ = 14\pi \\ substitute \: \pi = \frac{22}{7} \\ = 14 \times \frac{22}{7} \\ = 2 \times 22 \\ = 44 \: m \\ answer \: is \: rounded \: to \: nearest \: tenth.[/tex]

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The right answer is -2.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

(x-2)

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

x^3

Step-by-step explanation:

(x^2 -4)        x^3 -x^2 -6x

------------     ÷ ---------------------

x^3 + 7x^2        x^2 +4x -21

Copy dot flip

(x^2 -4)            x^2 +4x -21

------------     *  ---------------------

x^3 + 7x^2         x^3 -x^2 -6x

Factor

(x-2)(x+2)        (x+7)(x-3)

------------     *  ---------------------

x^2(x+7)         x(x-3)(x+2)

Cancel like terms

(x-2)                  1

------------     *  ---------------------

x^2                     x

(x-2)

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

x^3

Answer:

In this way it is proved

Answer:

Both are right triangles. That means they both have a 90∘ angle. They also both have a 30∘ angle.

It follows that both triangles have a 60∘ angle:

180∘−90∘−30∘=60∘.

So they have three angles in common.

The triangles are CONGRUENT as per the AAA rule of congruency.

Answer:

3.45

Step-by-step explanation:

If the printer can print 38 pages in 11 minutes and we want to find how many it prints per minute, we can divide the number of pages printed by the time it took.

So, divide 38 by 11.

38/11 = 3.454545

Round to nearest hundredth:   3.45

Answer:

3.45 pages per minute

Step-by-step explanation:

Take the number of pages and divide by the number of minutes

38 pages/11 minutes

3.45454545 pages/minute

To the nearest hundredth

3.45 pages per minute

Answer:

The second option

Step-by-step explanation:

Since CD is a perpendicular bisector of AB, D is equidistant from both A and B

Answer:

B.

Step-by-step explanation:

A perpendicular bisector is equidistant from two points. In this case, AD and CD are the same distance.

Answer:

Exact answer: [tex] \sqrt{29} [/tex]

Approximate answer: [tex] 5.385 [/tex]

Step-by-step explanation:

Start at the bottom vertex.

Go up 5 units, then go left 2 units. Now you're at the left vertex.

The vertical segment 5 units long and the horizontal segment 2 units long are the legs of a right triangle. The left side of the square is the hypotenuse of that right triangle.

We now use the Pythagorean theorem to find the length of the hypotenuse.

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

[tex] c^2 = 5^2 + 2^2 [/tex]

[tex] c^2 = 25 + 4 [/tex]

[tex] c^2 = 29 [/tex]

[tex] c = \sqrt{29} [/tex]

[tex] c \approx 5.385 [/tex]

Answer: X60 degrees Y40 degrees

Step-by-step explanation: 180-120=60 the triangle is equal to 180-60=120 120-80=40

Answer:

The other person is right, I believe it is the fourth Quadrient

Step-by-step explanation: how ever there are two fourth Quadrient answers. I think it is the second fourth Quadrient one with C and B at the top. I rotated the shape and that's how it looked.

When a shape is rotated, it must be rotated through a point.

The current location of the quadrilateral is quadrant III.

A 270 degrees clockwise rotation would move the shape 3 quadrants backwards.

i.e. quadrant 2, quadrant I, and quadrant 4.

Hence, the quadrant of the rotated figure is quadrant IV.

Read more about rotation at:

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Answer:

For the statement;

If M is the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is congruent to [tex]\overline{QM}[/tex]

The contrapositive statement is therefore;

If M is not the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is not congruent to [tex]\overline{QM}[/tex]

Step-by-step explanation:

Contraposition in logic describes the transitioning from an implication/conditional statement into its equivalent contrapositive

The contrapositive of the statement p → q is equal to ~p → ~q

Therefore, the contrapositive of a conditional or implication statement is equivalent, logically to the original statement

Answer:

If M is not the midpoint of , then  is not congruent to

Step-by-step explanation:

Answer:

Step-by-step explanation:

In this this construction reflections is present on the 2 line posts by the side. Why I say this is because the line post on the right reflected or translated to the right. Also the little line in the middle was a rotation and dilation, to stay between the posts. So this is why this stool took a translations, reflections, and rotations.

Hope this helps

Answer: “Function two shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.”

Answer:

Popcorn = $4.25 per bag, Drink = $8.75

Step-by-step explanation:

p = popcorn

d = drinks

10p + 10d = 130

3p + 5d = 56.50

multiply the second equation by -2 and then solve by elimination

-6p - 10d = -113

4p = 17

p = 4.25

3(4.25) + 5d = 56.50

5d = 43.75

d = 8.75

Answer:

10x + 10y = $130.00

3x + 5y = $56.50

Solution: x=4.25 and y=8.75

Step-by-step explanation:

The variable x will be used here to show the price of each bag of popcorn, while y will be used to represent the price of each drink.  First we can solve 10x + 10y = 130 for x:

10x + 10y = 130

10x + 10y + -10y = 130 - 10y (Subtract 10y from both sides)

10x = -10y + 130

Now divide 10 by both sides

x = -y + 13

Next, you will substitute -y + 13 for x in 3x + 5y = 56.5:

3x + 5y = 56.5

3(-y + 13) + 5y = 56.5

2y + 39 = 56.5 (Simplify both sides of the equation)

2y + 39 + −39 = 56.5+ −39 (Add -39 to both sides)

2y = 17.5 (Now divide both sides by 2)

y = 8.75

You can check this by substituing 8.75 for y in x = -y + 13

Answer:

7/4 x 3/2 x 1/2 = 1 5/16 or 21/16

Step-by-step explanation:

Answer:

Two algebraic expressions are equivalent if they always lead to the same result when you evaluate them, no matter what values you substitute for the variables. For example, if you substitute x := 3 in x + x + 4, then you get 3 + 3 + 4, which works out to 10; and if you substitute it in 2x + 4, then you get 2(3) + 4, which also works out to 10.

Step-by-step explanation:

Answer:

1. 140 in²

2. 2.25 in²

3. 182 in²

4. 55 in²

5. 374.75 in²

Step-by-step explanation:

1. Area of each triangle: 10*7*1/2 = 35 in²

Area of the roof = 4*35 = 140 in²

2. Area of the entrance hole: 1.5*1.5 = 2.25 in²

3. Area of each trapezoid: (8+5)/2*7 = 45.5 in²

Area of the sides: 4*45.5 = 182 in²

4. Area of the square of the base: 5*5 = 25 in²

Area of each rectangle: 1.5*5 = 7.5 in²

Area of the four rectangles = 4*7.5 =  30 in²

Area of the base: 25 + 30 = 55 in²

5. The  total amount of material  needed for the entire birdhouse is: 140 - 2.25 + 182 + 55 = 374.75 in²

Answer:

Step-by-step explanation:

y - 1 = -2(x + 3)

y - 1 = -2x - 6

y - 1 + 1 = -2x - 6 + 1

y = -2x - 5

Answer:

[tex]-\dfrac{11}{12}[/tex]

Step-by-step explanation:

[tex]\dfrac{\dfrac{5}{8}+\dfrac{3}{4}}{\dfrac{-2}{3}-\dfrac{5}{6}}=\\\\\\\dfrac{\dfrac{11}{8}}{-\dfrac{9}{6}}=\\\\\\\dfrac{11}{8}\times -\dfrac{2}{3}=\\\\\\-\dfrac{22}{24}=\\\\\\-\dfrac{11}{12}[/tex]

Hope this helps!

Answer:

Not a solution.

Step-by-step explanation:

2=-3/4(3)+3

2=-9/4+3

2 does not equal 3/4.

Therefore, it is not a solution.

Answer:

False

Step-by-step explanation:

Just plug it in.

[tex]2 = -\frac{3}{4}*3 + 3[/tex]

2 = -2.25 + 3

2 ≠ 0.75

It is not equal so it's false.

Answer:

Step-by-step explanation:

it  is symmetric about y-axis and its axis is x=0

and vertex is (0,2)

so parabola is y=a(x-0)²+2

(2,4) lies on it.

4=a(2)²+2

4a=2

a=1/2

so y=1/2 x²+2

Answer:

17(a+b)

Step-by-step explanation:

17 is distributed in the initial equation to both the a and the b

Answer:

17(a+b)

Step-by-step explanation:

Factor out the common term

17a+17b

17(a+b)

Answer:

1) the football already reached the ground

2) t = 0.625 seconds

3) t = 1.46 seconds

Step-by-step explanation:

Data

1) time, t = 2.25 s

To relate these variables we need to use the next equation:

H = Hi + Vi*t - 1/2*g*t²

H = 5 + 20*2.25 - 1/2*32*2.25²

H = -31 ft

that is, 31 ft under the line of reference. This means that the football already reached the ground

2) At the highest point the final velocity (Vf) is zero.

To relate these variables we need to use the next equation:

Vf = Vi - g*t = 0

Vi = g*t

t = Vi/g

t = 20/32

t = 0.625 s

3) When the football hits the ground, ΔH = -5 ft. Then:

ΔH = Vi*t - 1/2*g*t²

-5 = 20*t - 1/2*32*t²

0 = -16t² + 20t + 5

Using quadratic formula:

[tex] t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]

[tex] t = \frac{-20 \pm \sqrt{20^2 - 4(-16)(5)}}{2(-16)} [/tex]

[tex]t = \frac{-20 \pm 26.83}{-32}[/tex]

[tex]t_1 = \frac{-20 + 26.83}{-32}[/tex]

[tex] t_1 = -0.21 [/tex]

[tex]t_2 = \frac{-20 - 26.83}{-32}[/tex]

[tex] t_2 =1.46 [/tex]

The first result is discarded because it doesn't have physical sense. So, the football hit the ground after 1.46 seconds

Answer:

Alina owes $4 to Mya and Mylana owes $1 to Mya and $1 to Genesis.

Step-by-step explanation:

As they want to share the party expenses equally, first you have to add all the expenses and divide them by 4 people to know the amount that each person has to pay:

$21+$25+$16+$18= $80/4= $20

As everyone has to pay $20 for the party expenses, we can see that Genesis spent $1 more and Mya $5 more, so they have to get the money back from the other 2 people.

Alina owes: $20-$16= $4. She owes $4 to Mya as she will pay the entire amount she owes to one person and Mya has to get $5 back.

Mylana owes: $20-$18= $2. She would have to pay $1 to Mya to complete the $5 she had to get back and $1 to Genesis.

Answer: A

Step-by-step explanation:

Took the test