All categories

3 years ago

On a coordinate grid the coordinates of vertices p and q for polygon pars are p(5,4) and q(-2,4) what is the length of side pq?

Mathematics

1 answer:

Mariulka [41]3 years ago

4 0

Answer:

pq = 7

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = p(5, 4) and (x₂, y₂ ) = q(- 2, 4)

pq = $\sqrt{(-2-5)^2+(4-4)^2}$

= $\sqrt{(-7)^2+0^2}$

= $\sqrt{49}$

= 7

You might be interested in

Igloos unlimited charges $150 per night with a 50% discount for every night after the third night .if you stay for days how much

Marina CMI [18]

Answer:

150x, (x<=3)

225+75x, (x>3)

*x is the number of nights stayed.

Step-by-step explanation:

-Let the number of days stayed be x.

#If the number of days is equal to or less than 3 days, the cost is:

$Cost=C_d\times Days\\\\=150x$

Hence, the cost for x>3 is given by 150x

#If the number of days is greater than 3, the the cost is calculated as:

$\#First \ 3 \ Days.\\Cost=C_d\times Days\\\\\\=150\times 3\\\\=450\\$

$\\\#Next \ number \ of \ days\\\\Cost=C_d\times Days\\\\=0.5(150)\times (x-3)\\\\=75(x-3)$

We sum the two costs for x>3

$\sum{Costs}=450+75(x-3)\\\\=225+75x$

Hence, the cost for x>3 is given by 225+75x

6 0

3 years ago

Select the correct answer.

Nuetrik [128]

Answer:

$1652w-1652$ is equivalent to $\left(2w-2\right)\left(826\right)$

In other words:

$\left(2w-2\right)\left(826\right)=\:1652w-1652$

Step-by-step explanation:

Considering the expression

$\left(2w-2\right)\left(826\right)$

solving

$\left(2w-2\right)\left(826\right)$

$=\left(826\right)\left(2w-2\right)$

$\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac$

$a=\left(826\right),\:b=2w,\:c=2$

$=\left(826\right)\cdot \:2w-\left(826\right)\cdot \:2$

$=826\cdot \:2w-826\cdot \:2$

$=1652w-1652$

Therefore,

$1652w-1652$ is equivalent to $\left(2w-2\right)\left(826\right)$

In other words:

$\left(2w-2\right)\left(826\right)=\:1652w-1652$

5 0

3 years ago

When multiplying a decimal do you move it forward or backward

egoroff_w [7]

You move it backward like 0.054 times 100 is 5.4

4 0

3 years ago

What is the Y- intercept of the graph of the line given by equation 3y+4x=15?

KATRIN_1 [288]

Yint is where the line crosses the y axis or where x=0
set x=0

3y+4x=15
x=0
3y+4(0)=15
3y+0=15
3y=15
divide by 3
y=5

yint is (0,5) or at y=5

3 0

3 years ago

Convert 0.00001 to the power of 10

Olenka [21]

Answer:

1.0 to the power of 10 - 50 so 1 to the power of 40

4 0

3 years ago