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4 years ago

Common factor and the distributive property 4d + 12e

Mathematics

2 answers:

vredina [299]4 years ago

8 0

Factor 4d+12e is 4(d+3e)

gtnhenbr [62]4 years ago

7 0

Soh cah toa formula
n n n n n n

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Find the perimeter of the triangle whose vertices are the following, specified points in the plane.

hichkok12 [17]

Given:

The vertices of the triangle are (-10,-3), (1,4) and (-1,7).

To find:

The perimeter of the triangle.

Solution:

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let the vertices of the triangle are A(-10,-3), B(1,4) and C(-1,7).

Using distance formula, we get

$AB=\sqrt{(1-(-10))^2+(4-(-3))^2}$

$AB=\sqrt{(1+10)^2+(4+3)^2}$

$AB=\sqrt{(11)^2+(7)^2}$

$AB=\sqrt{121+49}$

$AB=\sqrt{170}$

Similarly,

$BC=\sqrt{\left(-1-1\right)^2+\left(7-4\right)^2}=\sqrt{13}$

$AC=\sqrt{\left(-1-\left(-10\right)\right)^2+\left(7-\left(-3\right)\right)^2} =\sqrt{181}$

Now, the perimeter of the triangle is

$Perimeter=AB+BC+AC$

$Perimeter=\sqrt{170}+\sqrt{13}+\sqrt{181}$

$Perimeter\approx 13.038+3.606+13.454$

$Perimeter=30.098$

Therefore, the perimeter of the triangle is 30.098 units.

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3 years ago

Work with a partner. you buy a shirt that is on sale for 30% off. you pay $22.40. your friend wants to know the original price o

valina [46]

I think is would be $25.04. I'm sorry if i get this wrong. I am only a middle schooler. Sorry if this didn't help.<span />

4 0

3 years ago

Squash and water is mixed in the ratio 1:3 if 2 litres of drink is made, how much water is used?

finlep [7]

Answer:

<h3>1 litre should be correct answer.</h3>

6 0

3 years ago

Read 2 more answers

I need some help with t-accounts in accounting

Svetach [21]

A) debit cash
b) credit cash & debit rent expense
c) credit cash & debit furniture expense
d) debit cash & credit revenue
e) debit phone expense & credit cash
f. debit unearned rev & credit revenue
g. debit equipment & credit cash for the amount and accounts payable for the rest
h. debit cash & credit accounts receivable
i. debit cleaning expense & credit cash
j. debit office equipment or just equipment & credit accounts payable
k. same as g
L. debit salaries expense & debit cash
m. debit cash & credit revenue
n. debit accounts receivable & credit revenue
o. debit cash & credit accounts receivable
p. debit accounts payable & credit cash
q. debit expense acc & credit cash
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4 0

4 years ago

Plz Help!!!<br> Will Give Brainliest to the First Person that answers!!!

Tatiana [17]

Answer:

15 square units.

Step-by-step explanation:

To find the area, we must find the width and length of the rectangle. To find the width and length, we need to find the length of AB and the length of BC. We use the distance formula.

AB: A(-8, 3); B(-3, 3).

$\sqrt{(-8-(-3))^2+(3-3)^2}$

= $\sqrt{(-8+3)^2+0^2}$

= $\sqrt{(-5)^2+0}$

= $\sqrt{25 }$

= 5

BC: B(-3, 3); C(-3, 6).

$\sqrt{(-3-(-3))^2+(3-6)^2}$

= $\sqrt{(-3 + 3)^2+(-3)^2}$

= $\sqrt{(0)^2+9}$

= $\sqrt{0+9}$

= $\sqrt{9}$

= 3

Now that we have both the width and the length, we can solve for the area using A = lw, where A is the area, l is the length, and w is the width. In this case, l = 5 and w = 3.

A = lw

A = 5 * 3

A = 15

So, the area of the rectangle is 15 square units.

Hope this helps!

8 0

3 years ago