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3 years ago

Factor: -49x^2+ 7y^2 + 133

Mathematics

1 answer:

prisoha [69]3 years ago

5 0

Answer:

-7 (7x^2-y^2-19)

Step-by-step explanation:

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Question 5

navik [9.2K]

Answer:

A. Similar using SAS; ∆ABC ~ ∆DFE

Step-by-step explanation:

m<B of ∆ABC = m<F of ∆DFE

AB corresponds to DF

AB/DF = 12/8 = 3/2

BC corresponds to FE

BC/FE = 24/16 = 3/2

Thus, the ratio of the corresponding sides of both triangles are the same. Therefore, both triangles has two sides that are proportional to each other, and also had an included corresponding angles that are congruent to each other.

By the SAS criterion, we can conclude that both triangles are similar to each other. That is, ∆ABC ~ ∆DFE

7 0

2 years ago

PLZ HELP I'M SO CONFUSED AND THIS IS TIMED

alexandr402 [8]

Value of x is 30°

Answer:

Solution given:

x°+(5x)°=180°[being straight line which sum of angle is 180°]

adding like terms

(6x)°=180°

dividing both side by 6

(6x)°/6=180°/6

x=30°

5 0

2 years ago

Read 2 more answers

The Country Buffet restaurant has tables that seat 6 people and booths that can seat 4 people. The restaurant has 38 seating uni

Alina [70]

Answer:

There are 20 booths and (38 - 20), or 18, tables

Step-by-step explanation:

Represent the number of tables with t and the number of booths with b.

We need to find the values of t and b.

(6 people/table)(t) + (4 people/booth)b = 188 (units are "people")

t + b = 38 (units are "seating units")

Solving the second equation for t, we get 38 - b = t.

Substitute 38 - b for t in the first equation:

(6 people/table)(38 - b) + (4 people/booth)b = 188

Then solve for b: 6(38) - 6b + 4b = 188, or:

228 - 2b = 188, or 2b = 228 - 188, or 2b = 40. Thus, b = 20 (booths)

There are 20 booths and (38 - 20), or 18, tables.

6 0

3 years ago

What is 73.24 rounded to the nearest tenth

Jobisdone [24]

The best way to remember which place is rounded to the nearest 10th, 100th, 1000th, etc., is by counting the number of 0's.

This question wants you to round to the nearest 10th.

How many 0's does 10 have? 1.

So we round one space after the decimal.

This gets us 73.2

6 0

3 years ago

Divide using synthetic division. ( x^4-12x^2-9)/(x+3)

Firdavs [7]

Answer:

x^3 - 3x^2 - 3x + 9 + (-36/(x+3))

x^3 - 3x^2 - 3x + 9 - (36/(x+3))

Step-by-step explanation:

First set the divisor equal to 0:

x + 3 = 0

Subtract 3 from both sides

x = -3

This is what you'll divide the dividend by in synthetic division.

Take the coefficents of each term in the dividend. Do not forget the 0 placeholders:

x^4 + 0x^3 - 12x^2 + 0x -9

Coefficents: 1. 0. -12. 0 -9.

Please see the image for the next steps.

The remainder is -36. Put the remainder over the divisor and add it to the polynomial (shown in image)

-36/(x+3)

6 0

3 years ago