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Archy [21]
2 years ago
6

What is the solution to this equation?

Mathematics
1 answer:
WITCHER [35]2 years ago
8 0

Answer:

A. x = 4

Step-by-step explanation:

7x-2(x-10)=40\\7x-2x+20=40\\5x+20=40\\5x=20\\x=4

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Answer:

  • -32x² +8x -8
  • See below about the process

Step-by-step explanation:

The simplified expression is ...

  3x(x -12x) +3x² -2(x -2)²

  = 3x(-11x) +3x² -2(x² -4x +4) . . . . . simplify contents of parentheses

  = -33x² +3x² -2x² +8x -8 . . . . . . . .eliminate parentheses

  = (-33 +3 -2)x² +8x -8 . . . . . . . . . . group the coefficients of like terms

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Graph the equation with work y=-3
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Answer:

x, 0 y, -3

Step-by-step explanation:

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2 years ago
Find the missing lengths: LK=15 and KH=9, find KI and HI.
Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

base^2+perpendicular^2=hypotenuse^2

Use Pythagoras in triangle HKL

LH^2+KH^2=LK^2

(LH)^2+9^2=15^2

(LH)^2+81=225

(LH)^2=144

Taking square root on both sides.

LH=12

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

(KI)^2+15^2=(12+x)^2

(KI)^2+225=x^2+24x+144

(KI)^2=x^2+24x+144-225

(KI)^2=x^2+24x-81...(1)

Use Pythagoras theorem in ΔHKI,

(KI)^2=x^2+9^2

(KI)^2=x^2+81...(2)

From (1) and (2) we get

x^2+81=x^2+24x-81

24x=162

x=\dfrac{162}{24}=6.75

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

(KI)^2=(6.75)^2+81

(KI)^2=126.5625

Taking square root on both sides.

KI=\sqrt{126.5625}

KI=11.25

Hence, the measure of KI is 11.25 units.

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3 years ago
40% of N is 80. Find N
Aliun [14]

Answer:

i think N=32

Step-by-step explanation:

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