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Volgvan
3 years ago
10

Let ​ x^2−12x=61 .​

Mathematics
2 answers:
melisa1 [442]3 years ago
7 0

Answer:

x²-12x+36=97

Step-by-step explanation:

Verified correct with K12 test.

Anuta_ua [19.1K]3 years ago
4 0
The answer for the first blank is 36 and the answer for the second blank is 97.

To complete the square, we first take half of the value of b.  The value of b in this equation is -12; -12/2 = -6.

Next we square the value we just got: (-6)² = 36.

This is what we add to both sides of the equation, giving us:
x²-12x+36=61+36

Combining like terms on the right, we have
x²-12x+36=97
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Translate the following phrase to an expression: the product of a number and 2.
liq [111]

Answer:

36

Step-by-step explanation:

2*n = what the expression says.

2*18 = 36 is the answer to n = 18

Whatever value is given to n you just multiply it by 2.

6 0
3 years ago
3. Assume all angles are right angles. What is the area of the figure? 12 m 8 m 10 m 16 m 12 m 12 m 1536 square meters b. 408 sq
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3 years ago
The triangles are similar
hoa [83]

Answer:

Part 1) x=16\ units

Part 2) x=23\ units

Part 3) AE=20\ units

Part 4) x= 6.25\ units

Part 5) x=26.67\ in

Step-by-step explanation:

Part 1) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{12}{3}=\frac{x}{4}\\\\3x=12*4\\ \\x=48/3\\ \\x=16\ units

Part 2) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{36}{12}=\frac{39}{(x-10)}\\\\3(x-10)=39\\ \\x=(39/3)+10\\ \\x=23\ units

Part 3) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{AB}{CD}=\frac{AE}{ED}

substitute the values

\frac{10}{4}=\frac{2x+10}{x+3}

2.5(x+3)=2x+10

2.5x+7.5=2x+10

2.5x-2x=10-7.5

0.5x=2.5

x=5\ units

AE=2x+10=2*5+10=20\ units

Part 4) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{4}{5}=\frac{5}{x}\\ \\4x=5*5\\ \\ x=25/4\\ \\ x= 6.25\ units

Part 5) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{30}{x}=\frac{45}{40}\\ \\45x=30*40\\ \\x=1,200/45\\ \\ x=26.67\ in



3 0
3 years ago
Read 2 more answers
Find the average of the following numbers −30 and 25
alina1380 [7]

Answer: -2.5

Step-by-step explanation:

The average can be found by adding up the numbers then dividing by how many numbers there are in this case there are two numbers.

-30+25=-5

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7 0
3 years ago
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