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ELEN [110]
3 years ago
8

What number should be added to both sides to complete the square? x^2 + 8x = 4

Mathematics
1 answer:
son4ous [18]3 years ago
8 0

Answer:

16

Step-by-step explanation:

x² + 8x = 4 ⇔ x² + 8x + 16 = 4 + 16 ⇔ x² + 2×4x + 4² = 20 ⇔ (x + 4)² = (2√5)²

Remark : (2√5)² = 20

You might be interested in
A circle is centered at the point (7,1) and passes through the point (8,7). what is the radius
Scorpion4ik [409]
Easy

the radius is the distance from the center to a point on the circle

we are given
center=(7,1)
 a point=(8,7)
find the distance
distance formula
D=\sqrt{(x2-x1)^2+(y2-y1)^2}

so the distance between point and center is radius
D=\sqrt{(8-7)^2+(7-1)^2}
D=\sqrt{(1)^2+(6)^2}
D=\sqrt{1+36}
D=√37 units


radius is √37 units
7 0
3 years ago
Alexis, Becca, and Cindy do volunteer work at Adopt-a-Pet Animal Shelter. They worked a total of 285 hours at the shelter last s
swat32

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.

Step-by-step explanation:

Given,

Total hours worked by three of them = 285 hours

Let,

x represent the hours of Alexis.

y represent the hours of Becca.

z represent the hours of Cindy.

According to given statement;

x+y+z=285    Eqn 1

Alexis worked 15 hours less than Becca.

x = y-15         Eqn 2

z = 2y+4        Eqn 3

Putting value of x and z from Eqn 2 and 3 in Eqn 1

(y-15)+y+(2y+4)=285\\y-15+y+2y+4=285\\4y-11=285\\4y=285+11\\4y=296

Dividing both sides by 4

\frac{4y}{4}=\frac{296}{4}\\y=74

Putting y=74 in Eqn 2

x=74-15\\x=59

Putting y=74 in Eqn 3

z=2(74)+4\\z=148+4\\z=152

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.

Keywords: linear equation, division

Learn more about division at:

  • brainly.com/question/9510228
  • brainly.com/question/9443926

#LearnwithBrainly

3 0
3 years ago
5/6+5/6 show your work
Umnica [9.8K]
10/6 = 1 2/3 This is because 5 + 5 =10/6 Divide 19 by six. This gives you 1 2/3
6 0
3 years ago
A surveyor measures the angle of elevation to a point on a mountain, that is 6 miles away, to be 15 degrees. The vertical change
cricket20 [7]
You can draw a right triangle with the informatio.

The vertical change in elevation (unknown) is the opposed leg to the angle 15°

The distance from the surveyor to the point vertically below the point on the mountain is the adjacent leg = 6 miles.

Then tan(15°) = x / 6 => x = 6tan(15) = 1.61 miles

Answer: 1.61 miles
6 0
3 years ago
Read 2 more answers
A.) A new cell phone costs $625. Its sale price is $500. What’s the percent of decrease?
Andrej [43]

Answer:

175$

Step-by-step explanation:

8 0
2 years ago
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