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2 years ago

What is the expression- Add seven to a number, then multiply the quantity by eight?

Mathematics

1 answer:

vfiekz [6]2 years ago

6 0

Answer:

x + 7 = y // y x 8

Step-by-step explanation:

x = ?

y + ?

x and y are the variables, since we don't know what the values are

Hope this helps!!

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Step-by-step explanation:

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If GEOM is a square, find m∠GQE.

Alexxandr [17]

Answer:

i think it is 180

Step-by-step explanation:

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2 years ago

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.

konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

$BC^2=BD\cdot AB.$

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

$x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.$

Take positive value x. You get

$AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.$

2. According to the previous theorem,

$AC^2=AD\cdot AB.$

Then

$AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

Answer: $AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

$CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D$

This means that you cannot find solutions of this equation. Then CD≠2 cm.

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3 years ago

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2 years ago

Find the following sums. Please help.

34kurt

Answer:

5m-n-4p

4a^2+6x-3

Step-by-step explanation:

3m-4n +7p

-5m +9n -6p

+7m -6n -5p

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Combine like terms

3m-4n +7p

-5m +9n -6p

+7m -6n -5p

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(3-5+7)m +(-4+9-6)n +(7-6-5)p

5m-n-4p

a^2 -3x +1

a^2 +9x -6

2a^2 +0x +2

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Combine like terms

a^2 -3x +1

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2a^2 +0x +2

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(1+1+2)a^2 +(-3+9+0)x +(1-6+2)

4a^2+6x-3

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