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Black_prince [1.1K]
2 years ago
14

Find the value of x. Please help!

Mathematics
1 answer:
Mars2501 [29]2 years ago
8 0

Answer:

x = 3

Step-by-step explanation:

Using the triangle similarity theorem

x/x+3 = x+3/12

Cross multiply

12x = (x+3)(x+3)

12x = x²+3x+3x+9

12x =  x²+6x+9

x²+6x+9-12x = 0

x²-6x+9 = 0

Factorize

x²-3x-3x+9 = 0

x(x-3)-3(x-3) = 0

x - 3 = 0

x = 3 twice

Hence the value of x is 3

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Assume that the sales of a certain appliance dealer can be approximaed y sraig were $6000 in 1982 and $ 64,000 in 1987. Let x -
viktelen [127]

Answer:

y=11,600x+6,000

Yearly sales in 1990: $98,800.

Step-by-step explanation:

We have been given that the sales of a certain appliance dealer can be approximated by a straight line. Sales were $6000 in 1982 and $ 64,000 in 1987.

If at 1982, x=0 then at 1987 x will be 5.

Now, we have two points (0,6000) and (5,64000).

\text{Slope}=\frac{64,000-6,000}{5-0}

\text{Slope}=\frac{58,000}{5}

\text{Slope}=11,600

Now, we will represent this information in slope-intercept form of equation.

y=mx+b, where,

m = Slope,

b = Initial value or y-intercept.

We have been given that at x=0, the value of y is 6,000, so it will be y-intercept.

Substitute values:

y=11,600x+6,000

Therefore, the equation S=11,600x+6,000 represents yearly sales.

Now, we will find difference between 1990 and 1982.

1990-1982=8

To find yearly sales in 1990, we will substitute x=8 in the equation.

S=11,600(8)+6,000

S=92,800+6,000

S=98,800

Therefore, the yearly sales in 1990 would be $98,800.

6 0
2 years ago
What is 180 divided by 20,835
grigory [225]
\frac{180}{20,835} = \frac{4}{463} = 0.00863930885
3 0
3 years ago
Read 2 more answers
What is hs the answer to this question?<br><br> Y= 5x+5<br> Y - x=5
ANEK [815]
Y = 5x + 5
y - x = 5

You can use substitution to solve this system. Use y's expression (5x + 5) for y in the second equation to solve for x:

y - x = 5
5x + 5 + x = 5
6x + 5 = 5
6x = 0
x = 0

Substitute your value for x into one of the original equations to y:

y = 5x + 5
y = 5(0) + 5
y = 5

Finally, substitute both values into both original equations to check your work:

5 = 5(0) + 5    -->    5 = 5    <--True
5 - 0 = 5    -->    5 = 5    <--True

Answer:
x = 0
y = 5
3 0
3 years ago
Write an equivalent equation that does not contain fractions 2/3 x + 9 equals 3/4
AlekseyPX

Answer:

8x + 108 = 9

Step-by-step explanation:

Given

\frac{2}{3} x + 9 = \frac{3}{4}

Multiply through by the lowest common multiple of 3 and 4, that is 12 to clear the fractions.

8x + 108 = 9 ← equivalent equation with no fractions

6 0
3 years ago
Sarihas to read a book for English class by the end of the week.She wants to read at least 200 pages in the first 5days of the w
zzz [600]
200/5 = 40...she should read at least 40 per day to reach her goal
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