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lisabon 2012 [21]
3 years ago
8

Subtract (x^2+5-6)-(-2x^2-3x-7) explain each step

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0
Your answer is 3x^(2)+3x+6

Hope this helped!

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Find the radius of a circle, given that the center is at (3,-3) and the point (7,6) lies on the circle.
Alenkasestr [34]

Answer:

\large\boxed{radius=\sqrt{97}}

Step-by-step explanation:

The radius is the distance between the center and any point on the circle.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the center (3, -3) and other point on the circle (7, 6).

Substitute:

r=\sqrt{(6-(-3))^2+(7-3)^2}=\sqrt{9^2+4^2}=\sqrt{81+16}=\sqrt{97}

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3 years ago
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Look at the figure shown below:
boyakko [2]

These are the steps, with their explanations and conclusions:


1) Draw two triangles: ΔRSP and ΔQSP.


2) Since PS is perpendicular to the segment RQ, ∠ RSP and ∠ QSP are equal to 90° (congruent).


3) Since S is the midpoint of the segment RQ, the two segments RS and SQ are congruent.


4) The segment SP is common to both ΔRSP and Δ QSP.


5) You have shown that the two triangles have two pair of equal sides and their angles included also equal, which is the postulate SAS: triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.


Then, now you conclude that, since the two triangles are congruent, every pair of corresponding sides are congruent, and so the segments RP and PQ are congruent, which means that the distance from P to R is the same distance from P to Q, i.e. P is equidistant from points R and Q


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3 years ago
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7-x=21. help ????????????
Dmitriy789 [7]
X=-14
do you want an explanation <span />
6 0
2 years ago
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Given the following system of equations, what is the value of the y-coordinate of the solution?
Alina [70]

9/4 is the answer if you have any questions please let me know

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2 years ago
3√2x+1=15, then what is the value of x?<br><br> 0
kifflom [539]

Answer:

x = 7√2/3

decimal = 3.299831

Step-by-step explanation:

Subtract 1 from both sides

3√2x+1-1=15-1

Simplify

3√2x=14

Divide both sides by 3√2

3√2x/3√2 = 14/3√2

Simplify

x= 7√2/3

5 0
2 years ago
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