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3 years ago

6

What is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)

1 answer:

brilliants [131]3 years ago

8 0

Answer:

Step-by-step explanation:

If two lines are parallel then they will have the same slope. So all you need to do is find the slope of the line that joins the two given points. You can use the slope formula $\frac{y_2-y_1}{x_2-x_1}$ . You can also graph the two points and use rise over run. $\frac{7-(-5)}{-5-7} =\frac{12}{-12}=-1$

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Jason has 5 shirts for every 2 pairs of pants. His brother John has 7 shirts for every 3 pairs of pants. Compare the ratio by co

postnew [5]

Answer:

john has a greater ratio of shirts to pants

Step-by-step explanation:

jason- 5:2

table:

shirt :5 10 15 20 25 30 35 40 45

pants:2 4 6 8 10 12 14 16 18 20

john-7:3

table:

shirts:7 14 21 28 35 42 49 56 63

pants:3 6 9 1 2 15 18 21 24 27

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2 years ago

Triangle FGH is formed by connecting the midpoints of the side of triangle CDE The lengths of the sides of triangle FGH are show

Vlad1618 [11]

Answer: 36

Step-by-step explanation:

By the triangle midsegment theorem, CE=16, CD=10, and ED=10.

So, the perimeter of triangle CDE is 10+10+16=<u>36</u>

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2 years ago

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Deffense [45]

Answer:

Step-by-step explanation:

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3 years ago

Gretchen has a set of blocks of heights 1, 2, and 4-centimeters. Imagine stacking the blocks one on top of the other to make a t

notsponge [240]

Answer:

$t_{n}$ = $t_{n-1}$ + $t_{n-2}$ + $t_{n-4}$

Step-by-step explanation:

$t_{n}$ =multiple ways to climb a tower

When n = 1,

tower= 1 cm

$t_{1}$ = 1

When n = 2,

tower =2 cm

$t_{2}$ = 2

When n = 3,

tower = 3 cm

it can be build if we use three 1 cm blocks

$t_{3}$ = 3

When n = 4,

tower= 4 cm

it can be build if we use four 1 cm blocks

$t_{4}$ = 6

When n > 5

tower height > 4 cm

so we can use 1 cm, 2 cm and 4 cm blocks

so in that case if our last move is 1 cm block then $t_{n-1}$ will be

n —1 cm

if our last move is 2 cm block then $t_{n-2}$ will be

n —2 cm

if our last move is 4 cm block then $t_{n-4}$ will be

n —4 cm

$t_{n}$ = $t_{n-1}$ + $t_{n-2}$ + $t_{n-4}$

4 0

3 years ago

Read 2 more answers

Jamie is buying 5 concert tickets, and he wants his total cost to be no more than $4 Above or below $80. Which inequality models

kumpel [21]

Answer:

Option C $\left|80-5x\right|\le 4$

Step-by-step explanation:

Let

x ----> the cost of the concert ticket

we know that

The total cost to be no more than $4 Above $80

so

$5x\leq 80+4$

Solve for x

$x\leq \$16.80$

The total cost to be no more than $4 below $80

so

$5x\geq 80-4$

Solve for x

$5x\geq 76$

$x\geq \$15.2$

therefore

The inequality that represent this problem is

$\left|5x-80\right|\le 4$

<u><em>Verify</em></u>

<em>First solution (positive case</em>)

$+(5x-80)\le 4$

$5x\le 80+4$

Solve for x

$x\leq \$16.80$ ----> is ok

<em>Second solution (negative case)</em>

$-(5x-80)\le 4$

Multiply by -1 both sides

$(5x-80)\ge -4$

$5x\geq 80-4$

Solve for x

$5x\geq 76$

$x\geq \$15.2$ ---> is ok

Remember that

$\left|5x-80\right|\le 4$ is equivalent to $\left|80-5x\right|\le 4$

Because is a absolute value

8 0

3 years ago