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ad-work [718]
4 years ago
10

Part A: Factor 5x2b^2 + 14xb^2 − 3b^2. Show your work. (4 points)

Mathematics
1 answer:
wlad13 [49]4 years ago
7 0
A.
alright
we can factor out the b² from everybody

b²(5x²+14x-3)
use ac method
for ax²+bx+c
multiply ac, and remember te result
find what 2 numbers multiply to ac and add to get b
split b up into those 2 numbers
factor
it's confusing so see example below
so

b²(5x²+14x-3)
5 times -3=-15
what 2 numbers multiply to get -15 and add to get 14?
15 and -1
b²(5x+15x-1x-3)
group
b²((5x²+15x)+(-1x-3))
b²(5x(x+3)-1(x+3))
factor
b²(5x-1)(x+3)



B.
what 2 numbers multiply to get 81 and add to get -18?
-9 and -9
(x-9)(x-9) or
(x-9)²

C.
diff of 2 perfect squares
remember a²-b²=(a+b)(a-b)
so
x²-11²=(x+11)(x-11)
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To be honest  the numbers up there are like dividing like it say 2 or -2 so i would be 2/-2 i hope these helps i really do 
6 0
4 years ago
Math help me))))))))please
olasank [31]
X^2/(x- 9 = 81/(x - 9)
This is the equation for which you want the solution.
Multiplying both sides of the equation by (x - 9) we get
x^2(x - 9)/(x - 9) = 81(x - 9)/(x - 9)
So the (x - 9) goes out from both the denominator and the numerator and then the simplified equation becomes
x^2 = 81
x ^2 = (9)^2
x = 9
So the value of the unknown variable x comes out to be 9.
6 0
4 years ago
Read 2 more answers
12 POINTS PLEASE HELP
Elina [12.6K]

Answer: Supplementary angles have a sum of 180 degrees so you would subtract 79 from 180 to determine the value of its supplement which would be 101 degrees

While complementary angles have a sum of 80 degrees. So you would subtract 59 from 80 and that leaves you with 21, so the complement angle is equal to 21 degrees

Step-by-step explanation:

8 0
4 years ago
(question 31) if arc mBC =120 and arc mAD =50 whatis the measure of angle DYC
g100num [7]
<h3>Answer:  D) 95</h3>

===============================================================

Explanation:

First, let's calculate angle BYC. This is the angle formed by the chords that subtend the arcs mentioned. This angle faces or is aimed toward the direction of the arcs. To find this angle, we'll average the arc measures like so:

angle BYC = (arcAD + arcBC)/2

angle BYC = (50+120)/2

angle BYC = 170/2

angle BYC = 85 degrees

Then we'll use the idea that angles BYC and DYC are supplementary (aka they form a straight 180 degree angle)

angleBYC + angleDYC = 180

angleDYC = 180 - angleBYC

angleDYC = 180 - 85

angleDYC = 95 degrees

which is why the answer is choice D.

5 0
3 years ago
on a map with a scale 1: 25000,the area of a lake is 33.6 square centimeters. calculate the actual area of the lake, giving your
svlad2 [7]

Given :

On a map with a scale 1: 25000 .

The area of a lake is 33.6 square centimeters.

To Find :

The actual area of the lake.

Solution :

Let, actual area of lake is A.

So,

\dfrac{33.6}{A}=\dfrac{1}{25000}\\\\A = 840000\ cm^2

We know , 1 \ cm^2 = 10^{-10}\ km^2

Area in km² is :

A = 840000\times 10^{-10}\ km^2\\\\A = 8.4 \times 10^{-5}\ km^2

Hence, this is the required solution.

6 0
3 years ago
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