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2 years ago

Solve. (x-4)²=5 PLEASE HELP

Mathematics

1 answer:

goldenfox [79]2 years ago

8 0

Answer:

Step-by-step explanation:

(x-4)^2=5

(x-4)(x-4)=5

x(x-4)-4(x-4)=5

distribute

x^2-4x-4x+16=5

combine like terms

x^2-8x+16=5

move terms to the left and combine

x^2-8x+11=0

use the quadratic formula and simplify

x=-(-8)+/-2 to the square roots of 5 over 2

separate and solve

x=4+ square root of 5

x=4- square root of 5

ANSWER: x=4+/- square root of 5

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Maria's fish tank has 17 liters of water in it. She plans to add 6 liters per minute until the tank has more than 47 liters. Wha

kondaur [170]

Answer:

t < 5

Step-by-step explanation:

47 > 6t + 17

30 > 6t

5 > t

t < 5

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2 years ago

RESPONDE LAS PREGUNTAS 8, 9 Y 10 DE ACUERDO CON LA

andrew-mc [135]

Answer:

ANSWER QUESTIONS 8, 9 AND 10 ACCORDING TO THE

NEXT INFORMATION

Luis painted a mural that

has 760 cm of

perimeter; your measurements are

show in the following

figure.

8. The expression associated with the length of the mural: 2x - 40, is

can interpret as

A. the length is 40 cm less than twice its width

B. the length exceeds the width value by 40 cm

C. the width squared, minus 40 cm, equals the length

D. 40 cm minus twice the width is the value of the length

9. What are the measurements in centimeters of the mural?

A. length: 150, width: 190 B. length: 210, width: 250

B. length: 210, width: 250

C. length: 240, width: 140 D. length: 230, width: 190

D. length: 230, width: 190

10. The area Luis used to paint the mural is

A. 2 [(2x - 40) + x] B. 2x2 - 40x

B. 2x2 - 40x

C. (2x) x - 40 D. x2 - 40x

D. x2 - 40x

Step-by-step explanation:

6 0

2 years ago

Vill all three students complete a sign at the same time? Explain your

7nadin3 [17]

I think it would be 23 bags without any cookies left over

4 0

1 year ago

what is the equation of the line that is perpendicular to the line y=3/5x+10 and passes through the point (15,-5)

riadik2000 [5.3K]

Answer:

$y = -\frac53x + 20$

Step-by-step explanation:

Hello!

A line that is perpendicular to another has an opposite-reciprocal slope.

Meaning:

Flip the sign (+/-)
Flip the fraction

The slope perpendicular to 3/5 would be -5/3.

We can solve for the y-intercept by plugging in the x and y values given from the coordinate into the equation with out new slope.

<h3 /><h3>Solve for B</h3>

$y = -\frac53x + b$
$-5 = -\frac53(15) + b$
$-5 = -25 + b$
$20 = b$

The y-intercept of the new line is 20.

The equation is $y = -\frac53x + 20$

6 0

1 year ago

Use the distributive property to solve the equation 28-(3x+4)=2(x+6)+x. Show your work.

Gre4nikov [31]

Answer:

x=2

Step-by-step explanation:

28−(3x+4)=2(x+6)+x

We need to use the distributive property for the right side.

28−3x−4=(2)(x)+(2)(6)+x)

28−3x−4=2x+2+x

−3x+24=3x+12

From here we need to subtract 3x from both side.

−3x+24−3x=3x+12−3x

6x+24=12

Transfer +24 on the right side.

6x=12−24

6x=−12

Finally, divide both sides by −6

6x/-6 = -12/-6

x=2

6 0

1 year ago