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lana [24]
2 years ago
6

Solve x2 14x = −24 by completing the square. what is the solution set of the equation?

Mathematics
2 answers:
dybincka [34]2 years ago
5 0
First, rearrange the equation so that only zero will be on the right side:

x^2 + 14x +24 = 0

Let the coefficients be:

a = 1
b = 14
c = 24

To complete the square, add (b/2)^2 to both sides of the equation:

(b/2)^2 = 49

x^2 + 14x + 49 + 24 = 49
x^2 + 14x + 49 = 25
(x+7)^2 = 25

Therefore, the solution set of the equation is {-12, -2}
Mashcka [7]2 years ago
3 0

Answer:

the answer on ed is A

Step-by-step explanation:

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Step-by-step explanation:

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Find the following angle measures.<br><br> mEAD = <br> °<br><br><br> mCAB = <br> °
sergejj [24]

<u>Part 1)</u> Find m∠EAD

we know that

m∠EAD+m∠DAF+m∠BAF=180\° ----> by supplementary angles

solve for m∠EAD

m∠EAD=180\°-(m∠DAF+m∠BAF)

in this problem we have

m∠DAF=90\°

m∠BAF=61\°

substitute in the formula above

m∠EAD=180\°-90\°-61\°=29\°

therefore

<u>the answer part 1) is </u>

m∠EAD=29\°

<u>Part 2)</u>  Find m∠CAB

we know that

m∠CAB+m∠BAF=180\° --------> by supplementary angles

solve for m∠CAB

m∠CAB=180\°-m∠BAF

in this problem we have

m∠BAF=61\°

substitute in the formula above

m∠CAB=180\°-61\°=119\°

therefore

<u>the answer part 2) is</u>

m∠CAB=119\°

6 0
2 years ago
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In PQR, point S lies on QR. If PS is perpendicular to QR, which term describes PS?A. Perpendicular bisector
nikitadnepr [17]
It can't be for sure a perpendicular bisector cuz you don't know what kind of triangle you are dealing with so that one's out.  It's not necessarily an angle bisector either for the same reason. A median means that PS will go through the opposite side right in the center, and again, depending upon what type of triangle you have, this could be true...So it is an altitude, which is like a height of a triangle. It drops down from a vertex and forms a right angle with wherever it goes through. So D.
3 0
2 years ago
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The density of an object can be found by taking its mass and dividing by its volume. Write an equation to represent the relation
prisoha [69]

Answer:

Step-by-step explanation:

The density of an object can be found by taking its mass and dividing by its volume.

Hence if density is D , Mass is M and Volume is V

D=\frac{M}{V}

a)

M = 500 gms

V = 40 cubic cm

D=\frac{500}{40}

D=12.5

b)

M = 125 gms

V = 1.4 cubic cm

D=\frac{125}{1.4}

D=89.28

D =89.28 gm per cc

3 0
2 years ago
A circle is centered at the point -3 2 and passes through the point 1 and 5 the radius of the circle is blank units
photoshop1234 [79]

Answer:

The radius of the circle is 5 units

Step-by-step explanation:

Given in the question,

centered point = (-3 , 2)

a point in the circle = (1,5)

To find the radius of circle we will use the circle equation

(x – h)² + (y – k)² = r²,

with the centre being at the point (h, k) and the radius being r.

Plug values in the equation

(1 – (-3))² + (5 – 2)² = r²

(1+3)² + (3)² = r²

4² + 3² = r²

25 = r²

r = √25

r = 5

7 0
2 years ago
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