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Dvinal [7]
3 years ago
5

What is the expression in factored form? 9x^2-4 show all work

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0

Answer:

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

Step-by-step explanation:

we know that

A binomial is a Difference of Squares if both terms are perfect squares

we have

9x^{2} -4

so

9x^{2}=(3x)^{2} ---> is a perfect square

4=(2)^2 ----> is a perfect square

Both terms are perfect squares

The difference of squares is

9x^{2} -4=(3x+2)(3x-2) ----> by difference of squares

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The ratio of the measure of three angles of a triangle is 2:3:10. Find the measure of the largest angle.
faltersainse [42]

Answer:

The measure of the largest angle:

120°

Step-by-step explanation:

The sum of the internal angles of a triangle = 180°:

2 + 3 + 10 = 15

then:

180/15 = 12

then, the measure of the largest angle:

10 * 12 = 120°

5 0
3 years ago
Read 2 more answers
Leah claims that these figures are not similar. When she compared the heights, she wrote 27. Then she compared the bases and got
Flauer [41]

Answer:

<h2>Leah is actually wrong, because those rectangles are similar.</h2>

Step-by-step explanation:

Remember that similarity is about having proportional sides and congruent angles. When we have congruent sides, then those rectangles are congruent not similar.

In this case, to find the similarity, Leah should compare bases and heights thorugh division, because the ratio between heights and the ratio between bases must be equal. So, let's divide.

\frac{21}{6}=3.5

\frac{7}{2}=3.5

As you can observe, both ratios are equal.

Therefore, those rectangles are congruent.

4 0
3 years ago
The perimeter of the scalene triangle is 54.6 cm. Which equation can be used to find the value of b if side a measures 8.7 cm?
77julia77 [94]

A scalene triangle is a triangle that has 3 sides that are all different lengths.

Let these letters represent the problem:

a = 8.7

b = side 2

c = side 3

P = 54.6

To find the perimeter, we just need to add all the sides [ P = a + b + c ]

So, put what we have in the formula above.

54.6 = 8.7 + b + c

Best of Luck!

7 0
3 years ago
Read 2 more answers
Can someone please help me??
Fantom [35]

Answer:

b=3, y=6

Step-by-step explanation:

Label the 2 equations:

2b +6y= 42 -----(1)

2b +4y= 30 -----(2)

(1) -(2):

(2b +6y) -(2b +4y)= 42 -30

2b +6y -2b -4y= 12

2y= 12

y= 12 ÷2 <em>(</em><em>÷</em><em>2</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

y= 6

Susbt. y=6 into (2):

2b +4(6)= 30

2b +24=30

2b= 30 -24 <em>(</em><em>-24</em><em> </em><em>on</em><em> </em><em>b</em><em>o</em><em>t</em><em>h</em><em> </em><em>sides</em><em>)</em>

2b= 6

b= 6 ÷2

b= 3

3 0
2 years ago
Read 2 more answers
What is the radius<br> and diameter
kotegsom [21]
Diameter- Is two times the radius. Circumference is the distance around the edge of the circle.

Radius- A line from the center of a circle to a point on the circle.

Hope this helped.
7 0
2 years ago
Read 2 more answers
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