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djverab [1.8K]
3 years ago
6

Translate fifteen more than two times a number into numbers

Mathematics
1 answer:
Crank3 years ago
6 0

Answer:

2x + 15

Step-by-step explanation:

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3/22 + -1/11<br> Add this fraction
Mashcka [7]

You need to use a common denominator. The least common denominator of 11 and 22 is 22.

3/22 + -1/11 = 3/22 + -2/22 = 3/22 - 2/22 = 1/22

7 0
4 years ago
What is the absolute value of Point Clabeled on the number line?
Yuki888 [10]

Answer:

  2 1/4

Step-by-step explanation:

An absolute value cannot be negative, so the negative answer choices are eliminated. The point labeled C is 5 tick marks to the right of 1. We know from the other numbers on the line that 4 tick marks constitutes one unit, so C is 5/4 = 1 1/4 units to the right of 1. Its value is 2 1/4.

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.

8 0
4 years ago
Read 2 more answers
HELP ASAP How many times will the digit '3' appear if we write all whole numbers from 1 to 99?
Liula [17]

Answer:3,13,23,30,31,32,33,34,35,36,37,38,39,43,53,63,73,83,93

Step-by-step explanation:

You gotta count I did this quick

8 0
3 years ago
Read 2 more answers
If f(x)= x and g(x) = x - 4 which translation is applied to f(x) to get g(x)
Dafna1 [17]
F(g(x)) = f(x-4) = (x-4)
g(f(x)) = g(x) = x-4
3 0
3 years ago
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