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3 years ago

7

Kandice deposited $50 last week to her brother’s account and earned $530 working this month. (Btw you need to show work in a num

ber line way)

1 answer:

Novosadov [1.4K]3 years ago

5 0

The answer is like 500$ because

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In which quadrant is the point (5,-2) located?

nevsk [136]

Quadrant Four (IV) since the x coordinate is a positive and the y coordinate is a negative.

7 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.

8 0

3 years ago

Read 2 more answers

Simplify the expression.<br> (4a- 80 - 4a2) + (7a3 - 7 - 6a)

allsm [11]

Answer:

the answer should be 7a^3-4a^2-2a-87

3 0

3 years ago

According to the properties of inequality, when should the inequality symbol be reversed when solving a two-step any quality in

Marina86 [1]

According to the properties of inequality, we reverse the inequality symbol when we add or multiply by any negative number

Given inequality is Ax + B > C

In the first step, we subtract B from both sides

Ax + B > C

Ax + B - B > C - B

Ax > C - B

Now to remove A we divide by A on both sides

If A is negative then the reverse the inequality sign

When A is negative then > symbol becomes < symbol

so the inequality symbol be reversed when the value of A is negative

3 0

3 years ago

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Please help, I don’t understand it so explain don’t just put the answer if u can lols

ludmilkaskok [199]

Answer

27 days

Step-by-step explanation:

father= 45 days

oldest son + father=27 days

youngest + father= 36 days

45-27=18

45-36=9

18+9=27

so it would take 27 days for both sons to complete the house

18 days=oldest son

9 days =youngest son

7 0

3 years ago

Read 2 more answers