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3 years ago

11

15 subtracted from the square of an integer the result is equal to three less than four times the integer find the negative inte

ger

1 answer:

dangina [55]3 years ago

5 0

Answer:

Let the integer be called "n"

So we have:

n^2-15=4n-3

n^2=4n+12

n^2-4n-12=0

(n+2)(n-6)=0

So, the negative integer is -2.

Let me know if this helps!

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A triangle has one leg that measures 12 cm and a hypotenuse 24 cm. Find the length of the other leg to the nearest tenth of cent

Minchanka [31]

9514 1404 393

Answer:

20.8 cm

Step-by-step explanation:

The term "hypotenuse" suggests this triangle is a right triangle. Then the other leg can be found using the Pythagorean theorem:

x^2 +12^2 = 24^2

x^2 = 576 -144 = 432

x = √432 ≈ 20.8 . . . cm

The other leg is about 20.8 cm.

_____

<em>Additional comment</em>

A right triangle with a short leg that is 1/2 the length of the hypotenuse is the "special" 30°-60°-90° right triangle. The longer leg is √3 times the length of the short leg: 12√3 ≈ 20.8 cm.

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2 years ago

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stiks02 [169]

Answer:

$31\:\text{square units}$

Step-by-step explanation:

We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by $A=\frac{1}{2}bh$ and the area of a trapezoid is given by $A=\frac{b_1+b_2}{2}\cdot h$ (average of the bases multiplied by the height).

Area of first triangle (larger triangle to the figure's left): $\frac{1}{2}\cdot 4\cdot 4=8$

Area of second triangle (smaller triangle to the figure's right ): $\frac{1}{2}\cdot 2\cdot 5=5$

Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): $4\cdot 2 =8$

Area of first triangle (larger triangle to the figure's left): $5\cdot 2=10$

Thus, the area of the entire figure is:

$8+5+8+10=\boxed{31\:\mathrm{units^2}}$

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3 years ago

The graph of the function f(x)=-|5x| is translated 3 units up

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<span>f(x)=-|5x|

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3 years ago

Select the pair of numbers that have:

Studentka2010 [4]

Answer:

Step-by-step explanation:

It is possible to solve this problem without using algebra and equations.

One number is 7 more than the other, but they add to 25.

If you subtract the difference of 7 first, you will be left with the sum of two equal numbers.

25

−

7

=

18

18

÷

2

=

9

The one number is 9 and the other is 7 more than 9, so (9+7 = 16)

The numbers are 9 and 16.

Check: 9+16 = 25#

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