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Kisachek [45]
3 years ago
7

Help me please ..........................

Mathematics
1 answer:
attashe74 [19]3 years ago
3 0

Step-by-step explanation:

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Solve the system
Helga [31]
The answer is actually choice A

---------------------------------------------------------
---------------------------------------------------------

If we add up the equations straight down we will have 0a+2b = 6

Note how adding the 'a' terms gives us 3a + (-3a) = 3a-3a = 0a. The 0a term is really 0 since 0 times anything is 0. So the 'a' terms will go away

The equation 0a+2b = 6 turns into 0+2b = 6 and that simplifies to 2b = 6

To isolate b, we divide both sides by 2

2b = 6
2b/2 = 6/2
b = 3

We can stop here since only one answer choice has b = 3, which is choice A. However, let's keep going to find the value of 'a'

Plug b = 3 into any equation with 'a' and 'b', then solve for 'a'

3a+4b = 9
3a+4*3 = 9
3a+12 = 9
3a+12-12 = 9-12
3a = -3
3a/3 = -3/3
a = -1

So a = -1 and b = 3 pair up to form (a,b) = (-1,3)

--------------------------------------

To check, plug this ordered pair back into both equations

Equation 1:
3a+4b = 9
3*(-1)+4*3 = 9
-3+12 = 9
9 = 9
Equation 1 has been checked out

Equation 2:
-3a-2b = -3
-3(-1)-2(3) = -3
3 - 6 = -3
-3 = -3
this is true as well

So this confirms that the final answer is choice A
8 0
3 years ago
Read 2 more answers
Find the missing angles.
raketka [301]

Step-by-step explanation:

x = 90- 55 = 35

y = 180- x

y= 180 - 35 = 145

z =180- (y +10)

z = 180 - (145 +10)

z = 180-155

z = 25

Please gimme brainliest

5 0
3 years ago
What is the quotient of the pic​
myrzilka [38]

Answer:

256

Step-by-step explanation:

8 0
3 years ago
Find the indicated limit, if it exists.
jok3333 [9.3K]
For the limit to exist, the limits from either side must also exist and be identical. We have

\displaystyle\lim_{x\to2^-}f(x)=\lim_{x\to2}(x+3)=2+3=5

\displaystyle\lim_{x\to2^+}f(x)=\lim_{x\to2}(3-x)=3-2=1

Since the limits do not match, the overall limit does not exist.
6 0
3 years ago
Can someone help me answer 7, 8, and 9. Thank you! <br> I don’t really get the circle concept
Mariulka [41]

Answer:

Part 7) Option C. The approximate perimeter of the patio is 54\ ft

Part 8) Option G. 3\ floats

Part 9) 150.72\ minutes

Step-by-step explanation:

Part 7) we know that

The perimeter of the figure is equal to the circumference of the larger half circle plus the circumference of the smaller half circle plus two times the length of 8 ft

step 1

Find the circumference of the larger half circle

The circumference of the larger half circle is

C=\pi r

we have

r=8+2=10\ ft

substitute

C=\pi(10)

C=10\pi\ ft

step 2

Find the circumference of the smaller half circle

The circumference of the smaller half circle is

C=\pi r

we have

r=2\ ft

substitute

C=\pi(2)

C=2\pi\ ft

step 3

Find the perimeter of the figure

10\pi\ ft+2\pi\ ft+2(8)\ ft=(12\pi+16)\ ft

assume \pi=3.14

so

(12(3.14)+16)=53.68=54\ ft

Part 8) we know tat

The area of a circle is equal to

A=\pi r^{2}

we have

A=28.26\ ft^{2}

assume \pi=3.14

substitute the values and solve for r

28.26=(3.14)r^{2}

r^{2}=28.26/(3.14)

r^{2}=9

r=3\ ft

Find the diameter D

D=2r=2(3)=6\ ft

Divide the width of the pool by the diameter of the floats

so

\frac{18}{6}=3\ floats

Part 9)

<em>step 1</em>

Find the circumference of one coaster

The circumference of circle is

C=2\pi r

we have

r=1.5\ in

assume \pi=3.14

substitute

C=2(3.14)(1.5)=9.42\ in

<em>step 2</em>

Find the circumference of 48 coasters

so

48(9.42)=452.16\ in

<em>step 3</em>

we know that

The laser cut woods at the rate of 3 inches per minute

By proportion find how many minutes will it take to cut out 48 coasters

\frac{3}{1}\frac{inches}{minute} =\frac{452.16}{x}\frac{inches}{minutes}\\ \\x=452.16/3\\ \\x=150.72\ minutes

4 0
3 years ago
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