Ask question

Ask question

All categories

3 years ago

7

Solve the system below using an appropriate method.

1 answer:

fiasKO [112]3 years ago

5 0

Using substitution:
4x+2y=12
y=8x+1

4x+2(8x+1)=12

distribute
4x+16x+2=12

combine like terms
18x+2=12

subtract 2 from both sides
20x=10

divide each side by 20
x=10/20

reduce
x=1/2

plug in x for the y= equation
y=8(1/2)+1

multiply
y=4+1

add
y=5

answer:
(1/2,5)

You might be interested in

(: (: (: (: (: (: (: (: (: (: (: (: (:

sammy [17]

Answer:

3

Step-by-step explanation:

I can see it in the demonstration graph

8 0

3 years ago

Read 2 more answers

Add the following 2 wholes and 3/8 plus 3 wholes and 3/7

FinnZ [79.3K]

Answer:

325/56

is the answer

6 0

3 years ago

Read 2 more answers

A square pyramid. The square base has side lengths of 6 inches. The 4 triangular sides have a base of 6 inches and height of 9 i

Marrrta [24]

Answer:

The area of the pyramid’s base is 36 in².

The pyramid has 4 lateral faces.

The surface area of each lateral face is 27 in².

Step-by-step explanation:

"<u>Lateral</u>" means side, so the lateral faces are <u>triangles</u>.

The <u>base</u> is the bottom, which is a <u>square</u>.

To calculate the <u>area of the base</u>, use the formula for area of a square.

$A_{base} = s^{2}$

$A_{base} = (6 in)^{2}$

$A_{base} = 36 in^{2}$

To calculate the <u>area of a lateral face</u>, find the area of a triangle.

$A_{lateral} = \frac{bh}{2}$

$A_{lateral} = \frac{(6 in)(9 in)}{2}$

$A_{lateral} = \frac{54 in^{2}}{2}$

$A_{lateral} = 27 in^{2}$

In a pyramid, the number of lateral faces is the same as the number of sides in the base. <u>The square base as 4 sides, so there are 4 lateral faces</u>.

3 0

3 years ago

Which of these polygons is not formed by the cross-section created when a plane intersects a cube? Select all that are possible.

lakkis [162]

Answer:

Circle

Octagon

Step-by-step explanation:

There are no curves in a cube to make a circular cross section, and there aren't enough edges to make an octagon (just visualize)

8 0

3 years ago

Read 2 more answers

What is the area of the figure?

rewona [7]

Answer:

57 square feet

Step-by-step explanation:

Split the boxes into two parts.

One box measuring 11.5 ft long and 3 ft wide. (Box A)

The second box measuring 7.5 ft long and 3 ft wide. (Box B)

Area (figure) = Area of box A + Area of box B

Area of box A

3 × 11.5 = 34.5 ft²

Area of box B

3 × 7.5 = 22.5 ft²

Area of figure = 34.5 + 22.5

Area of figure = 57 ft²

3 0

3 years ago