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Luba_88 [7]
3 years ago
12

What are all the values of x that make the quadratic A equation below true? x² – 16=0

Mathematics
1 answer:
Rudiy273 years ago
8 0
X^2 = 16
x = 4
x = -4
good luck :)
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The sum of all three numbers is 12. The sum of twice the first number, 4 times the second number, and 5 times the third number i
grigory [225]

Answer:

The numbers are 7, 4 and 1

Step-by-step explanation:

Let the numbers =x, y, z.

The sum of all three numbers is 12, x+y+z=12--------i

The sum of twice the first number, 4 times the second number, and 5 times the third number is 35, 2x+4y+5z=35-------ii

The difference between 8 times the first number and the second number is 52, 8x-y=52---------iii

Now, from (i),z =1-x-y--------iv

substitute (iv) in (ii),

2x+4y+5(12-x-y)=35

2x+4y+60-5x-5y=35

collect like terms

-3x-y=-25

that is, 3x-y=25--------v

solving (iii) and (v) simultaneously (add iii and v), we have

11x=77

divide both sides by 11 to obtain x=7

Put x=7 in (v)

3(7)+y=25

21+y=25

implies y=25-21=4

put x=7 and y=4 in (iv)

z=12-7-4=1

Hence, the numbers are 7, 4 and 1.

5 0
3 years ago
Help me please...<br> At least an explanation
In-s [12.5K]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Find the sum 1/2 + 3/8
Stels [109]

Answer: 7/8

Step-by-step explanation:

The easiest way to do this is to find a common denominator, so first we find out 2 times how much equals 8? 2x4 = 8. So with 8 being our common denominator, we have to multiple 4 to every number in the fraction 1/2. So 1x4 = (4/8) = 2x4. Then you just add the top numbers, so 4 + 3 = 7 and keep the denominator. 7/8.

5 0
3 years ago
Read 2 more answers
Solve x^2 + 16x + 2 =0
Oliga [24]

Answer:

x = -8 + \sqrt{}62, -8 - √ 62

Step-by-step explanation:

This is the exact form

3 0
3 years ago
If the area of a circle measures 9π cm2, what is the circumference of the circle in terms of π?
8_murik_8 [283]

Answer: option B

Step-by-step explanation:

The circumference of a circle can be calculated with this formula:

C=2\pi r

Where "C" is the circumference of the circle and "r" is the radius of the circle.

The area of a circle can be calculated with:

A=\pi r^2

Where "r" is the radius.

Knowing the area, you can solve for the radius:

r^2=\frac{9\pi cm^2}{\pi }\\\\r=\sqrt{\frac{9\pi cm^2}{\pi } }\\\\r=3cm

Substituting into  C=2\pi r, you get that the circumference of this circle is:

 C=2\pi (3cm)=6\pi\ cm

8 0
3 years ago
Read 2 more answers
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