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3 years ago

4(a + 10) = 80 find a

Mathematics

2 answers:

Harman [31]3 years ago

6 0

Answer:

Step-by-step explanation

4(a+10) = 80

4a+40=80

4a=40

a=10

nirvana33 [79]3 years ago

5 0

Answer: x = 4

Step-by-step explanation: To solve this equation, we start by distributing the 4 through the parentheses on the left side.

So we have 4(a) which is 4a and 4(10) which is 40.

So our equation now reads 4a + 40 = 80.

Solving from here, we subtract 40 from both sides of the equation and we have 4a = 40 and dividing both sides by 4, we find that x = 4.

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Use calculus to find the area a of the triangle with the given vertices. (0, 0), (6, 2), (4, 8)

Vilka [71]

The area of the triangle with vertices $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ is

$\frac{1}{2}\left|\begin{array}{ccc}1&x_1&y_1\\1&x_2&y_2\\1&x_3&y_3\end{array}\right|$ .

Inserting numerical values, the are of the triangle with vertices (0, 0), (6, 2), (4, 8) is

$\Delta = \frac{1}{2}\left|\begin{array}{ccc}1&0&0\\1&6&2\\1&4&8\end{array}\right |\\
\Delta = 0.5(48-8)\\
\Delta = 20 \;square\; units$

7 0

3 years ago

The Lars family has a moisture farm on the planet Tatooine. They owned 5 acres of land. They sold 2/7 of their land to the Tuske

jeka57 [31]

Answer:

25/7 acres or 3 4/7 acres

Step-by-step explanation:

The sold 2/7 of the land.

1 - 2/7 = 7/7 - 2/7 = 5/7

They have 5/7 of the land left.

5/7 of 5 acres = 5/7 × 5 acres = 25/7 acres = 3 4/7 acres

7 0

2 years ago

AWARDING EXTRA POINTSWhat is the distance between point A (-3, -2) and Point B (4, -7)?

kenny6666 [7]

Answer:

Hi there!

Your answer is:

8.6 units

Step-by-step explanation:

The distance formula is

√ ( (x2-x1)^2 + (y2-y1)^2 )

In your points:

A (-3, -2)

-3 is x1

-2 is y1

B (4, -7)

4 is x2

-7 is y2

Plug in to distance formula

√ ( 4-( -3))^2 + ( -7 - (-2))^2

√ (4+3)^2 + (-7+2)^2

√ (7^2) + ( -5)^2

√ 49 + 25

√ 74

This equals roughly 8.6 units!

4 0

3 years ago

What the answer? 8x-(2x-3)=12

nevsk [136]

Answer:

x= 3/2 or 1.5

Step-by-step explanation:

First of all, you can take out the parenthesis because 8x is subtracting 2x-3.

8x-2x-3=12

6x-3=12

+3 +3

6x= 15

6x/6= 15/6

x= 3/2 or 1.5

Hope this helps!

8 0

3 years ago

Max spends three times as long on his math homework than he does on his science homework. If he spent total of 64 minutes on mat

den301095 [7]

Let X = science homework.

Then math homework would be 3x ( three times as long).

Now you have math plus science = 64 minutes:

x + 3x = 64

Combine like terms:

4x = 64

Divide both sides by 4:

x = 64 / 4

x = 16

He spent 16 minutes on science and 48 minutes on math.

6 0

3 years ago