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stepladder [879]
4 years ago
15

4n^2 -15n+9 factor completely

Mathematics
1 answer:
Nikitich [7]4 years ago
7 0
4n² - 15n + 9
4n² - 12n - 3n + 9
4n(n) - 4n(3) - 3(n) + 3(3)
4n(n - 3) - 3(n - 3)
(4n - 3)(n - 3)
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Select the correct answer from each drop down menu. In the figure, AB=__inches and AC=___
BaLLatris [955]

Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.

Step-by-step explanation: We can use cosine to find the hypotenuse. cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}

Using a calculator x is about 13.05

Using tangent we can find the length opposite of <C

tan(40)=\frac{x}{10} \\tan(40) (10)=\frac{x}{10}(10)\\tan(40) (10) = x

Using a calculator x would be about 8.4

4 0
3 years ago
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A nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. Which walk is
MArishka [77]

Answer:

Evening walk is shorter.  

Step-by-step explanation:

We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.

Let us compare both fractions by making the same denominator.

\text{Two-thirds}=\frac{2}{3}

\text{Two-thirds}=\frac{2\times2}{3\times2}

\text{Two-thirds}=\frac{4}{6}

\text{Three-sixth}=\frac{3}{6}

Upon making common denominator, we can see that two-thirds are equal to four sixths.

Since three-sixths is less than four-sixths, therefore, evening walk is shorter.

We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.

We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.

Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.

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3 years ago
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96

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Step-by-step explanation:


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-7x^2+14x+21=0<br>answer?​
scoray [572]

Answer:

7(−x−1)(x−3)

Step-by-step explanation:

6 0
3 years ago
How do you prove that angles are parallel?
3241004551 [841]

Answer:#1

if corresponding angles are congruent


#2

if alternate interior angles are congruent


#3

if consecutive, or same side, interior angles are supplementary


#4

if two lines are parallel to the same line


#5

if two lines are perpendicular to the same line


#6

if alternate exterior angles are congruent




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