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Zarrin [17]
3 years ago
6

Thanks for the help number 11

Mathematics
2 answers:
jasenka [17]3 years ago
6 0

Answer:

C

Step-by-step explanation:

Charra [1.4K]3 years ago
6 0

Answer:

C

Step-by-step explanation:

I think have a nice day

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Find the length of the line PA.
Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60

The area of right triangle:

A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30

Use the Pythagorean theorem to calculate the length of RO:

|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13

The formula of an area of this right triangle is:

A_T=\dfrac{1}{2}|RO||PA|

Therefore we have the equation:

\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62

8 0
3 years ago
Simplify the expression. State any excluded values.<br><br> x^ 2 - 36/42x - 7x^ 2
REY [17]

Consider the expression x^2-\dfrac{36}{42}x-7x^2.

This expression contains two terms with x^2, group them:

x^2-7x^2=x^2(1-7)=-6x^2.

Now simplify term \dfrac{36}{42}x=\dfrac{6}{7}x.

Now x^2-\dfrac{36}{42}x-7x^2=-6x^2-\dfrac{6}{7}x=6\left(-x^2-\dfrac{1}{7}x\right)=-6x\left(x-\dfrac{1}{7}\right).

This expression is defined for all x.

3 0
4 years ago
YOULL GET BRAINLIEST
soldier1979 [14.2K]

Answer:

Parent Function: y = x^2

Vertex: (1,3)

Axis of Symmetry: x = 1

Y-Intercept(s): (0,1)

X-Intercept(s): (1−√62,0),(1+√62,0)

Step-by-step explanation:

hope this helps! =)

5 0
2 years ago
- 2x+3 = -X+12<br> Help me please
Harrizon [31]

Answer:

-9

Step-by-step explanation:

-2x + 3 = -x + 12

move -x over by adding

-x + 3 = 12

move the 3 over by subtracting

-x = 9

divide by - to get the x positive

x = -9

7 0
4 years ago
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What is the answer for 4² + (7+2) ÷ 3.
antoniya [11.8K]
The answer would be 19
3 0
4 years ago
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