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jonny [76]
3 years ago
10

What would you do to solve the system?

Mathematics
1 answer:
kipiarov [429]3 years ago
6 0
Answer:

Explanation:

12x = 48 - 8y
10x + 8y = 38
———————
12x + 8y = 48
10x + 8y = 38
———————
12x + 8y = 48
-1(10x + 8y = 38)
————————
12x + 8y = 48
-10x - 8y = -38
————————
2x = 10
x = 10/2 = 5

If x = 5 then:
10x + 8y = 38
10(5) + 8y = 38
50 + 8y = 38
8y = 38 - 50
8y = -12
y = -12/8
y = -3/2

Therefore, x = 5 and y = -3/2

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Step-by-step explanation:

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4 0
3 years ago
Find the segment length indicated. Assume that lines which appear to be tangent are tangent.
Triss [41]

Answer:

Part 1) The segment length indicated is 6.4\ units

Part 2) The segment length indicated is 19\ units

Step-by-step explanation:

Let

x------> the segment length indicated

Part 1)

Applying the Pythagoras Theorem

(13+x)^{2}=13^{2}+14.4^{2}\\ \\ (169+26x+x^{2})=169+207.36\\ \\x^{2}+26x-207.36=0

Solve the quadratic equation by graphing

The solution is x=6.4\ units

see the attached figure N 1

Part 2)

Applying the Pythagoras Theorem

x^{2} =11.4^{2}+(7.6+7.6)^{2}\\ \\ x^{2}=129.96+231.04\\ \\x^{2}=361\\ \\x=19\ units

5 0
4 years ago
What is the measure of <br> &lt; B?
iogann1982 [59]

Answer:

c(<B=73)

Step-by-step explanation:

The two congruent sides have equal base angles

34 + 2x = 180

2x = 180 - 34

2x = 146

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hope it was helpful

8 0
3 years ago
I need help please?!!!!):
notsponge [240]

Answer:

k=38

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
IWhat is the equation of a line that passes through the points (3, 6) and (8, 4)?
Rzqust [24]

Answer:

(x_1 =2, y_1 = 6), (x_2 = 2, y_2 = 4)

m =\frac{y_2 -y_1}{x_2 -x_1}

And replacing we got:

m=\frac{4-6}{8-3}= -\frac{2}{5}

And for this case we can use the first point to find the intercept like this:

6 = -\frac{2}{5}(3) +b

And solving we got:

b = 6 +\frac{6}{5}= \frac{36}{5}

And then the line equation would be given by:

y = -\frac{2}{5}x +\frac{36}{5}

Step-by-step explanation:

For this case we have the following two points given:

(x_1 =2, y_1 = 6), (x_2 = 2, y_2 = 4)

And for this case we want an equation for a line with the two points given by:

y = mx+b

Wher m is the slope and b the y intercept. We can find the slope with this formula:

m =\frac{y_2 -y_1}{x_2 -x_1}

And replacing we got:

m=\frac{4-6}{8-3}= -\frac{2}{5}

And for this case we can use the first point to find the intercept like this:

6 = -\frac{2}{5}(3) +b

And solving we got:

b = 6 +\frac{6}{5}= \frac{36}{5}

And then the line equation would be given by:

y = -\frac{2}{5}x +\frac{36}{5}

5 0
3 years ago
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