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Sav [38]
4 years ago
12

Which of the following is a factor of 10x2-11x-6

Mathematics
1 answer:
agasfer [191]4 years ago
6 0

This is the polynomial equation and rewrite the middle term as a sum of two terms whose products is a*c=10*-6 and whose sum is b = -11

Factor -11 out of -11X

10X² - 11(X) - 6

Rewrite 11 as 15 + 4

10 x² + (-15 + 4)x -6

10x² -15x + 4x -6

Factor out the greatest common factor from each group.

5x(2x - 3) +2(2x - 3)

(5x + 2) (2x - 3)

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Need help finding measure of angle R.
Hunter-Best [27]

Answer:

B.) 113°

Step-by-step explanation:

In the isosceles trapezoid, angles T and S are congruent. Find the value of x:

4x+7=7x-38

Subtract 4x from both sides:

4x-4x+7=7x-38-4x\\7=3x-38

Add 38 to both sides:

7+38=3x-38+38\\45=3x

Divide both sides by 3:

\frac{45}{3}=\frac{3x}{3}\\\\  15=x\\\\x=15

x is equal to 15. Now substitute the value of x into the one of the expressions:

4(15)+7\\60+7\\67

or

7(15)-38\\105-38\\67

The angles T and S are 67°.

The angles of a trapezoid will always add up to a total of 360°, so add the angles T and S:

67+67=134

Subtract their total from 360:

360-134=226

The total of the angles Q and R is 226°. Since this is an isosceles trapezoid, those two angles are also congruent. Divide the value by 2:

\frac{226}{2}= 113

Angle R is 113°.

Done.

7 0
3 years ago
HELP
anyanavicka [17]
The axis of symmetry is x=2.
6 0
3 years ago
You have a rectangular garden that is 10 feet
Ahat [919]

a. If you double both sides, you'll get a rectangle with dimensions 20 feet wide and 30 feet long, therefore the area will be 20 × 30 = 600 feet².

b. The area of the old rectangle was 10 × 15 = 150 feet², so no the area is not twice as large, it is 4 times as large. This is because if the area is base × height, then doubling both of these gets you (2 × base) × (2 × height) = 4 × (base × height).

I hope this helps!

6 0
3 years ago
5. Create a square model for the equation m + 5 = 12.
77julia77 [94]
If you can give me more information on this I could help you a bit more respond.
3 0
3 years ago
Determine if the set of numbers create a Pythagorean triple. 6, 8, and 9
disa [49]

Answer:

No

Step-by-step explanation:

If they are a Pythagorean triple, then the square of the largest number will equal the sum of the squares of the other 2 numbers.

largest number = 9 and 9² = 81

6² + 8² = 36 + 64 = 100 ≠ 81

Thus 6, 8 and 9 are not a Pythagorean triple

6 0
3 years ago
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