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notka56 [123]
3 years ago
10

Another Math problem !!

Mathematics
1 answer:
3241004551 [841]3 years ago
4 0
C.
- x {}^{2}  + 4x + 6
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2(x + 4)2 = 20 solve by square roots
DanielleElmas [232]

Answer:

x =  − 4  ±  √ 10,

Step-by-step explanation:

2(x + 4)² = 20

=> 2(x + 4)  (x + 4) = 20

=> 2x + 8 (x + 4) = 20

=> 2x² + 8x + 8x + 32 = 20

=> 2x² + 16x + 32 = 20

=> 2x² + 16x + 12 = 0

=> Now solve using the quadratic formula:

x =  − 4  ±  √ 10,

Radical form: − 4  ±  √ 10,

Decimal form: -0.84, -7.16

Hope this helps!

5 0
3 years ago
How do you find the interquartile range
Svetllana [295]
<span>Step 1: Find Q1.Q1 is represented by the left hand edge of the “box” (at the point where the whisker stops). In the above graph, Q1 is approximately at 2.6. ...Step 2: Find Q3. ...
<span>Step 3: Subtract the number you found in step 1 from the number you found in step 3.</span></span>
3 0
2 years ago
Brian is 2 years older than Malachy. Caroline is 8 years younger than Malachy. If the total of their ages is 66, how old is the
SVETLANKA909090 [29]

Answer:

The eldest of them is Brian and he is 24 + 2 = 26 years old.

Step-by-step explanation:

Let

Malachy age = a

Brian age = a + 2

Caroline age = a - 8

Total of their age = a + (a + 2) + (a - 8)

66 = a + (a + 2) + (a - 8)

collect like terms

66 = a + a + 2 + a - 8

66 = a + a + a - 6

3a = 66 + 6

3a = 72

divide both sides by 3

a = 72/3

a = 24

Malachy age is 24 . Caroline is 24 - 8 = 16 years old.

The eldest of them is Brian and he is 24 + 2 = 26 years old.

7 0
3 years ago
53,806 in expanded form using exponents
Sholpan [36]
53.806= 5*10^5+3*10^4+8*10^3+6
4 0
3 years ago
Read 2 more answers
Find the length of the third side. If necessary, write in simplest radical form.
Mazyrski [523]

Answer:

\boxed {\boxed {\sf 8}}

Step-by-step explanation:

This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

a^2+b^2=c^2

Where <em>a</em> and <em>b </em> are the legs of the triangle and <em>c</em> is the hypotenuse.

In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

a= 7 \\b= \sqrt{15}

Substitute these values into the formula.

(7)^2+(\sqrt{15})^2=c^2

Solve the exponents.

  • (7)²= 7*7=49

49+ (\sqrt{15})^2=c^2

  • (√15)²=√15*√15=15

49+15=c^2

Add.

64=c^2

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

\sqrt{64}=\sqrt{c^2} \\\sqrt{64}= c\\8=c

The third side length is <u>8.</u>

6 0
3 years ago
Read 2 more answers
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