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Juliette [100K]
3 years ago
9

Find 2 consecutive integers such that the sum of the first and three times the second is 11

Mathematics
1 answer:
nevsk [136]3 years ago
7 0

Answer:

  2, 3

Step-by-step explanation:

If the first integer is x, then the second is x+1. The given relation is ...

  x +3(x+1) = 11

  4x = 8 . . . . . . . . subtract 3

  x = 2 . . . . . . . divide by 4

The integers are 2 and 3.

__

<em>Check</em>

  2 + 3(3) = 2+9 = 11

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Yo please help
Alex Ar [27]

Answer:

Options 1, 3 and 4 are true

Step-by-step explanation:

The legs EF and DF of the right triangle DEF have lengths of 24 units and 7 units, respectively. By the Pythagorean theorem,

DE^2=EF^2+DF^2\\ \\DE^2=24^2+7^2\\ \\DE^2=576+49\\ \\DE^2=625\\ \\DE=25\ units

Find trigonometric functions:

\sin \angle D=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{EF}{DE}=\dfrac{24}{25}

\cos \angle E=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{EF}{DE}=\dfrac{24}{25}

\tan \angle D=\dfrac{\text{Opposite leg}}{\text{Adjacent leg}}=\dfrac{EF}{DF}=\dfrac{24}{7}

\sin \angle E=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{DF}{DE}=\dfrac{7}{25}

Thus, options 1, 3 and 4 are true

5 0
3 years ago
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What underfined geometric term is described a two dimensional set point that has no beginnings or end
yan [13]
It is called a Line. It is a straight path that extends forever
6 0
3 years ago
Mr. Wolfe builds a new deck in the shape shown below. Explain how to find the area of the deck, and solve.
kifflom [539]

Answer:

144

Step-by-step explanation:

your welcome

8 0
3 years ago
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−4x+7y+5= 0x−3y=−5​<br><br>How many solutions does the system have?
seraphim [82]
{-4x+7y+5=-5
{0x-3y=-5 Solve the equation.

{-4x+7y+5=-5
{y=5/3 Substitute the value of y.

-4x+7(5/3)+5=-5 Plug in and solve.

x=65/12 You should get this answer.

Therefore: (x,y) = (65/12,5/3)
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3 years ago
Solve this inequality: 3q + 11 + 8q &gt; 99.
IrinaVladis [17]
3q + 11 + 8q > 99

Simplify

11q + 11 > 99

Subtract 11 on both sides

11q + 11 - 11 > 99 - 11
11q > 88

Divide 11 on both sides.

q > 8

Your final answer is C. q > 8<span>.</span>
3 0
3 years ago
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