What is the slope of a line perpendicular to y=4/3x+4

HELP!!!!I don’t get it. I need an explanation.

mestny [16]

Answer: 9 is -1

11 is -2 and 13 is -2

Step-by-step explanation:

5 0

1 year ago

A movie theater offers popcorn in two different containers for the same price. One container is a trapezoidal prism with a base

g100num [7]

Answer:

Triangular prism is better deal as the volume of triangular prism is greater.

Step-by-step explanation:

Consider the provided information.

The volume of prism is: $V=Bh$

Where B is the base area and h is the height of the prism.

It is given that the trapezoidal prism with a base area of 33 square inches and a height of 4 inches.

The volume of the trapezoidal prism is:

$V=33(4)\\V=132$

Hence, the volume of trapezoidal prism is 132 in³.

Now calculate the volume of triangular prism with a base area of 34 square inches and a height of 5 inches.

The volume of the triangular prism is:

$V=34(5)\\V=170$

Hence, the volume of the triangular prism is 170 in³.

Triangular prism is better deal as the volume of triangular prism is greater.

5 0

2 years ago

The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represent

stiks02 [169]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

$A=b^{2}$

where b is the length side of the square

we have

$A=49\ units^2$

substitute

$49=b^{2}$

$b=7\ units$

therefore

$AB=BE=ED=AD=7\ units$

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

$A=(AC)(AG)$

substitute the given values

$A=(9)(10)=90\ units^2$

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

$A=(DE)(DG)$

we have

$DE=7\ units$

$DG=AG-AD=9-7=2\ units$

substitute

$A=(7)(2)=14\ units^2$

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

$A=(EF)(CF)$

we have

$EF=AC-AB=10-7=3\ units$

$CF=BE=7\ units$

substitute

$A=(3)(7)=21\ units^2$

step 5

sum the shaded areas

$14+21=35\ units^2$

step 6

Divide the area of of the shaded region by the area of ACIG

$\frac{35}{90}$

Simplify

Divide by 5 both numerator and denominator

$\frac{7}{18}$

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0

2 years ago

What two integers have a sum of -7 and a product of -18?

Elis [28]

Answer:

-9 and 2

Step-by-step explanation:

-9 x 2

5 0

2 years ago

Read 2 more answers

Suppose that six guests check their hats when they arrive at the Cigar Parlor and that these hats are returned randomly when the

marissa [1.9K]

Answer:

0.1667

Step-by-step explanation:

There are 6! ways to arrange the hats. The number of ways for which no guest will receive the proper hat is 5! (since there are 5 wrong hats for the first guest, 4 for the second guest, and so on). The probability that no guest will receive the proper hat is:

$P=\frac{5!}{6!}=0.1667$

The probability is 0.1667.

4 0

2 years ago