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vladimir1956 [14]
3 years ago
15

-70y^2+90x^3+100yx^2-63xyfactor by grouping

Mathematics
1 answer:
Alexeev081 [22]3 years ago
4 0
The idea of grouping is to get the terms in groups that allow you to factor out from each group something that becomes a factor in itself, leaving two factors behind that are alike. Like this: rearrange those terms so they are in this order:
(-70y^2 - 63xy) + (90x^3 + 100yx^2).  Now out of the first set we are going to factor out a -7y, and out of the second set we are going to factor out a 10x^2. When we do this, this is what we get: -7y(10y + 9x) + 10x^2(9x + 10y). As you can see, what's inside both sets of parenthesis is the same, just in a different order. We can factor that out now, leaving (9x + 10y)(10x^2 - 7y). And that is factored by grouping.
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Elliot's employer pays time-and-a-half for all hours worked over 40 hours per week. Elliot's regular hourly rate is $9 per hour.
musickatia [10]
E=9h+1.5(9)(h-40)

e=9h+13.5(h-40), since h=49

e=9(40)+13.5(9)

e=9(40+13.5)

e=9(53.5)

e=$481.50
4 0
3 years ago
Can you help me get have a test tomorrow
Jlenok [28]

Answer: 3.3

Step-by-step explanation: maximum was 250 yards and each pool is 75 yards, how many pools did he use? divide the 250 by 75 which you should've gotten 3.33333333333. round to the nearest tenth.  

6 0
2 years ago
Find the percent of decrease. Round to the nearest whole percent.<br> old: 374 boxes; new: 130 boxes
Jet001 [13]

Answer:

B

Step-by-step explanation:

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3 years ago
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alina1380 [7]
X=70, y=55

The triangle is an isosceles triangles. In an isosceles triangle, the base angles are congruent.

Then use the triangle angle sum theorem and set the equation to 180.

55+55+x=180
110+x=180
x=70

The angle with 55 degrees and the angle with the variable y are alternate angles. Meaning they are congruent.
5 0
3 years ago
On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N
ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

R =(5,5)

S= (2,1)

T = (1,3)

LMN

L = (0,-1)

M= (2,-4)

N= (-2,-3)

Required

Compare both areas

The area of triangle is:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

For RST, we have:

Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|

Area = \frac{1}{2}|-10|

Remove absolute signs

Area = \frac{1}{2}*10

Area = 10

For LMN, we have:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|

Area = \frac{1}{2}|-14|

Remove absolute signs

Area = \frac{1}{2}*14

Area = 7

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

3 0
3 years ago
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