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RSB [31]
4 years ago
8

What is the area of this triangle?

Mathematics
1 answer:
crimeas [40]4 years ago
8 0

Answer: 54cm^{2}

The area of a triangle is given by:

A_{triangle}=\frac{(b)(h)}{2}

Where:

b=9cm is the base of this right triangle

h=12cm is the height of the triangle

Substituting the known values:

A_{triangle}=\frac{(9cm)(12cm)}{2}

Finally, the area of this triangle is:

A_{triangle}=54cm^{2}

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Choose one of the factors of x15 − 64. (2 points)
Lorico [155]

We have been given the function x^{15}-64

Convert this expression in difference of cubes form.

x^{15}-64\\=(x^5)^3-4^3

Now, in order to find the factors, we can apply the difference of cubes form, which is given by

x^3-y^3=(x-y)(x^2+xy-y^2)

On applying this formula, we get

(x^5-4)(x^{10}+4x^5+16)

Hence, the factors of the given expression are

(x^5-4) \text{ and }(x^{10}+4x^5+16)

Out of the given option, A is the correct option.

x^5 − 4 is the required factor.

6 0
3 years ago
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A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negati
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Answer:

A) (-1’,1‘)

B) (-1’,-2’)

C) (3’,-2’)

D) (3’,2’)

Step-by-step explanation:

A) (-1’,1‘)

B) (-1’,-2’)

C) (3’,-2’)

D) (3’,2’)

5 0
3 years ago
What is the solution to sqrt 17-x=x+3? Show your work.
snow_lady [41]

Answer:

x=1

Step-by-step explanation:

Remember:

(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2

Given the equation \sqrt{17-x}=x+3, you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

(\sqrt{17-x})^2=(x+3)^2

17-x=(x+3)^2

Simplifying, you get:

17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

(x-1)(x+8)=0

Then:

x_1=1\\x_2=-8

Let's check if the first solution is correct:

\sqrt{17-(1)}=(1)+3

4=4 (It checks)

Let's check if the second solution is correct:

\sqrt{17-(-8)}=(-8)+3

5\neq-5 (It does not checks)

Therefore, the solution is:

x=1

3 0
3 years ago
You want to put some money in a simple interest account. it pays 8% interest annually for 2 years. you would like to earn $500 i
kicyunya [14]
P=i/rt
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Which line has a slope of 1 and a y-intercept of 2?
Vedmedyk [2.9K]

Answer:

bottom left :)

Step-by-step explanation:

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3 years ago
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