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Andreyy89
3 years ago
14

1. Solve the absolute value equation, if possible. If there is no solution, explain why. | 5x + 10| = -7

Mathematics
2 answers:
sveta [45]3 years ago
5 0

Answer:

There is no solution because this is the main reason why its a negative number and the answer has to be positive not negative

Step-by-step explanation:

Brilliant_brown [7]3 years ago
3 0

Rule of thumb: ANY absolute value is positive.

I 5x + 10I = -7

5x + 10 = -7                -Subtract 10 from both sides of the equation.

5x + 10 - 10 = -7 - 10

5x = -17         -Divide both sides by 5.

5x / 5 = -17 / 5

x = -3.4

Hope this helps! Have a happy thanksgiving, here's a turkey!

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an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.​
dolphi86 [110]

Answer:

\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

A_\triangle=\dfrac{bh}{2}

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

<em />

We need a length of a height.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have:

leg=5,\ leg=h,\ hypotenuse=20

Substitute:

5^2+h^2=20^2

25+h^2=400             <em>subtract 25 from both sides</em>

h^2=375\to h=\sqrt{375}\\\\h=\sqrt{(25)(15)}\\\\h=\sqrt{25}\cdot\sqrt{15}\\\\h=5\sqrt{15}\ cm

Calculate the area:

A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2

8 0
3 years ago
Find the midpoint of the coordinates (-2,1) and (4,-4)
kow [346]
  • (-2,1)
  • (4,-4)

\\ \rm\longmapsto P(x,y)

\\ \rm\longmapsto \left(\dfrac{-2+4}{2},\dfrac{1-4}{2}\right)

\\ \rm\longmapsto \left(\dfrac{2}{2},\dfrac{-3}{2}\right)

\\ \rm\longmapsto \left(1,\dfrac{-3}{2}\right)

6 0
2 years ago
A machine with velocity ratio of 5 is used to raise a load with an effort of 500N . If the machine is 80% efficient , determine
Yanka [14]

Answer:

Solutions given:

Velocity ratio V.R =5

effort =500N

efficiency =80%

magnitude of load=?

mechanical advantage [M.A ]

we have

efficiency =M.A/V.R*100%

80=M.A./5*100

80/100*5=M.A

M.A.=4

again

we have

M.A =load/effort

4=load/500

load=500*4

load=2000N

<h3><u>the magnitude of the load is 2000N</u>.</h3>
7 0
3 years ago
2. If tan theta = 2 , find cot theta
RideAnS [48]

Answer:

1/2

Step-by-step explanation:

cot∅ = 1/tan∅

cot∅ =  1/2

3 0
3 years ago
The sale price of an item is $160 after a 20% discount. What was the original price of the item?
Vlad1618 [11]

Answer:

200 sorry read that wrong

Step-by-step explanation:

6 0
3 years ago
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