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KATRIN_1 [288]
2 years ago
10

6 + 2(x - 5) + 4x = 44 Is this a One Solution No Solution Or Infinite Solution

Mathematics
2 answers:
katrin [286]2 years ago
6 0
One solution; solution is 8
solve by distributing 2 to x-5; 6+2x-10+4x=44
then combine like terms -4+6x=44
add 4 to the other side 40. you get 48
6x=48
x=8
7nadin3 [17]2 years ago
3 0

Answer:

One Solution

Step-by-step explanation:

That's My Answer :)

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Which is an equation of the line that passes through the points (-1,9) and (4, 24)?
choli [55]

Answer:

y = 3x + 12

Step-by-step explanation:

Slope (m) = 24-9/4-(-1)

= 25/5

= 3

Using point (-1 , 9)

y - y1 = m (x - x1)

y - 9 = 3 (x - -1)

y - 9 = 3 (x + 1)

y - 9 = 3x + 3

y = 3x + 3 + 9

y = 3x + 12

4 0
3 years ago
Vanessa draws one side of equilateral ΔABC on the coordinate plane at points A(–2, 1) and B(4,1). What are the possible coordina
sukhopar [10]

Answer:

Possible C:

(1 , 1 + 3sqrt(3))

(1 , 1 - 3sqrt(3))

Step-by-step explanation:

AB = 6 units

Midpoint of AB is (1,1)

C would be at x = 1

So, (1,y)

(y-1)² + (1+2)² = 6²

(y-1)² = 36 - 9

(y-1)² = 27

y - 1 = 3sqrt(3)

y - 1 = -3sqrt(3)

y = 1 + 3sqrt(3)

y = 1 - 3sqrt(3)

7 0
4 years ago
Help please :))) thank u
Gnom [1K]

Answer:

The distance between A and B is 8.5 after rounded to the nearest tenth

Step-by-step explanation:

The formula you always use for distance between points is as pictured.

Point A is (-6, 4), this is x1 and y1

Point B is (2, 1), this is x2 and y2

(2-[-6])^2 + (1-4)^2

since 2 negatives make a positive, 2 - -6 = 8

1 - 4 = -3

This makes 8 squared and -3 squared

8x8 = 64

-3x-3 = 9

64 + 9 = 73

the square root of 73 = 8.544003745

After rounding to the nearest tenth, it is 8.5

I hope this helps you! Good luck :)

3 0
3 years ago
I've been trying to get an answer for this all day and don't know where to begin what is the answer like I have no clue ​
Shtirlitz [24]

so, we have two 54x18 rectangles, so their perimeter is simply all those units added together, 54+54+54+54+18+18+18+18 = 288.

we know the circle's diameter is 1.5 times the width, well, the width is 18, so the diameter of the circle must be 1.5*18 = 27.

\bf \stackrel{\textit{circumference of a circle}}{C=d\pi }~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=27 \end{cases}\implies C=27\pi \implies C=\stackrel{\pi =3.14}{84.78} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{perimeter of the rectangles}}{288}~~~~+~~~~\stackrel{\textit{perimeter of the circle}}{84.78}~~~~=~~~~372.78

6 0
3 years ago
It is known that a cable with a​ cross-sectional area of 0.300.30 sq in. has a capacity to hold 2500 lb. If the capacity of the
vesna_86 [32]

Answer:

0.84 square in

Step-by-step explanation:

Since the capacity of the cable is proportional to its​ cross-sectional area. If a cable that is 0.3 sq in can hold 2500 lb then per square inch it can hold

2500 / 0.3 = 8333.33 lb/in

To old 7000 lb it the cross-sectional area would need to be

7000 / 8333.33 = 0.84 square in

5 0
3 years ago
Read 2 more answers
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