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2 years ago

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Mathematics

1 answer:

Svet_ta [14]2 years ago

7 0

Answer:

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Step-by-step explanation:

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The diagram below shows a pennant in the shape of an isosceles triangle. The equal sides each measure 13. The altitude is x + 7

Kisachek [45]

Answer: The length of the base is 10.

Step-by-step explanation:

You can draw an isosceles triangle like the one shown attached.

An isosceles triangle has two equal sides. Then, you can divide it into two right triangles, where the base of each one of them will be:

$b'=\frac{2x}{2}=x$

The hypotenuse of each right triangle shown is 13 and the other legs are (x+7) and x, therefore you can apply the Pythagorean Theorem:

$13^2=x^2+(x+7)^2$

Simplify the expression:

$169=x^2+(x^{2}+2(x)(7)+7^2)\\169=x^{2}+x^{2}+14x+49\\0=2x^{2}+14x-120$

Use the quadratic formula, where:

$a=2\\b=14\\c=-120$

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

Then:

$x=\frac{-14\±\sqrt{14^2-4(2)(-120)}}{2+2}$

$x_1=5\\x_2=-12$

Choose the positive value, because lengths are not negative.

Substitute the value of x into the base 2x. Therefore, the answer is:

$b=2x=2(5)=10$

7 0

2 years ago

What are the first four terms in the nth term n(2n + 1)

Bingel [31]

Answer:

Explination:

0 x anything is still zero, but I don't know if that counts.

1 (2+1) = 3

2 (4+1) = 10

3 (6+1) = 21

4 (8+1) = 36

6 0

2 years ago

Which expression is equivalent to 7(a+2) when a= 6? O 7(6) O 9(6) O 7(6)+2 O 7(6)+14

storchak [24]

7(6+2) = 7(8)=56

The answer is:

7(6)=42 + 14=56

4 0

2 years ago

The sum of two numbers is 52 . The larger number is 12 more than the smaller number. What are the numbers?

son4ous [18]

this is the answer 40 + 32

6 0

3 years ago

D = rt what does r stand for

AnnyKZ [126]

In the equation D = rt, the r stands for rate. The equation is saying that distance equals the rate at which you traveled multiplied with the time you traveled. In other words, r is the speed traveled. Example: If the rate at which you travel is 35 miles per hour and you traveled for 2 hours, then you have traveled 35 miles times 2 or 70 miles.

3 0

2 years ago