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3 years ago

Can you answer these questions?

Mathematics

1 answer:

eimsori [14]3 years ago

5 0

Answer:

hope this answer helps you dear....take care!

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Solve for x. 3x + 4x = 14 X = please explain how you got the answer too

Komok [63]

X=2
You add 3x and 4x which is 7x then divide 14 by 7 which is 2

5 0

3 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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Match the graph to the correct inequality.

Trava [24]

The answer to the question is b

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Where does this real # belong?

Eddi Din [679]

It is irrational because it is a decimal that doesn't terminate or repeat! :)

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3 years ago

I WILL GIVE BRAILIEST PLEASE HELP

Mila [183]

Answer:

$3.49 for the muffin, and $2.96 for the coffee

Step-by-step explanation:

(3.25)(1.075) = 3.49

(2.75)(1.075) = 2.96

How to find the factor to multiply by

1.075 = 1+.075, 7.5% = 7.5/100 = .075

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3 years ago

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