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kolezko [41]
3 years ago
15

What is the sum of X^2-3x+7 and 3x^2+5x-9

Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0
X^2 - 3x+7 + 3x^2 + 5x-9
4x^2
-3x+7+5x-9
2x+2
4x^2+2x+2
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Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?
Yuri [45]

Answer:

Option D. AC= 10 cm and CE= 5 cm

Step-by-step explanation:

From the given figure two triangles ΔABC and ΔADE are similar and two lines BC║DE.

From these similar triangles we know

\frac{AB}{AD}=\frac{BC}{DE}=\frac{AC}{AE}

\frac{8}{12}=\frac{BC}{9}=\frac{AC}{AE}

Therefore \frac{AC}{AE}=\frac{8}{12}=\frac{2}{3}

Or AC=\frac{2}{3}AE

Now from pythagoras theorem

AE = √(AD²+ED²) = √(12²+9²) = √(144+81) =√225 = 15 cm

Since we know side AC = \frac{2}{3}AE

                                        = \frac{2}{3}\times 15

                                        = 10 cm

Therefore AC = 10 cm and AE = 15cm and CE = (15-10) = 5 cm


8 0
3 years ago
The quotient of 2 times a number and 19
Reptile [31]
This one is worded oddly, but I think it's going to be:
(2x)/19
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HELP PLZ I WILL GIVE BRAINLIEST!!! Write the prime factorization of 675 using exponents.
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Answer:

Step-by-step explanation:

The prime factorization of 675 is 3 × 3 × 3 × 5 × 5. The factors of a number, x, are the numbers that multiply together to...

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The given polygon is a right, scalene triangle. Use a congruent triangle to form a quadrilateral. A scalene triangle. The side l
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Answer:

Sorry I know that im late responding but better late then never

Step-by-step explanation:

A: It’s a rectangle.

B: Opposite sides are congruent.

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E: All angles are right angles.

In shorter words the answer is

A, B, D, E.

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Answer:

John Roberts must serve a minimum of 12, 543 days to surpass John Mrshall's record of justice.

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John Marshall = 2079 + 10, 463 = 12, 542 days

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