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Paladinen [302]
3 years ago
9

4. Use the slope and the y-intercept to graph the following equation. 3y + 6 = -2x

Mathematics
1 answer:
Serhud [2]3 years ago
4 0

Answer:

slope = - 2/3,y = -2

Step-by-step explanation:

- Make y the subject of the line 3y + 6 = -2x.

- Divide throughout by three to get the slope.

- Get the y - intercept by substituting x = 0.

- The slope gotten is -2/3.

- The y - intercept is y = - 2.

- in plotting the graph, make a point at - 2 on the y - axis which is the y - intercept. Then count three steps from the origin on the x - axis towards the negative direction and mark a point on - three.

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5. A total of 65.0 kilojoules of heat are absorbed as 58,3 g of lead is heated from 12.0°C to
vova2212 [387]
The specific heat is 34°C
3 0
4 years ago
8 x - 6 y equals -20 - 16 x + 7 y equals 30
Virty [35]

Answer:

-12.75 , -22

Step-by-step explanation:

8x - 6y = 30

8x = 30 + 6y

-20 - 16x + 7y = 30

-2(30 + 6y) + 7y = 50

-5y = 50+60

y = -22

7x = 30 - 6(22) = -102

x = -12.75

5 0
3 years ago
Read 2 more answers
Suppose that 96% of bolts and 91% of nails meet specifications. One bolt and one nail are chosen independently. NOTE: This is a
Crank

Answer:

0.9964 is the probability  that at least one of them meets specifications.

Step-by-step explanation:

We are given the following in the question:

B: Bolts meet the specification

N: Nails meet the specification

P(B) = 96% = 0.96

P(N) = 91% = 0.91

One bolt and one nail are chosen independently.

Thus, we can write

P(B\cap N) = P(B) \times P(N) = 0.96\times 0.91 = 0.8736

We have to find the probability that at least one of them meets specifications.

P(B\cup N) = P(B) + P(N) -P(B\cap N)\\P(B\cup N) =0.96 + 0.91-0.8736\\P(B\cup N) =0.9964

0.9964 is the probability  that at least one of them meets specifications.

3 0
4 years ago
Someone help ASAP solve -5x^2+7x=-9
Ray Of Light [21]

Answer:

x=\frac{7 +/-\sqrt{229} }{10}

Step-by-step explanation:

To solve the quadratic, use inverse operations to set it equal to 0.

-5x^2+7x=-9\\-5x^2+7x+9=0

To solve, use the quadratic formula and substitute a= -5, b= 7 and c= 9.

x=\frac{-b +/-\sqrt{b^2-4ac} }{2a} \\\\x=\frac{-7 +/-\sqrt{7^2-4(-5)(9)} }{2(-5)} \\\\x=\frac{-7 +/-\sqrt{49+180} }{-10} \\\\x=\frac{7 +/-\sqrt{229} }{10}

5 0
4 years ago
I need to find x and y and also find the measure of angle x and angle y and find the measure of angle (3y+4)
Elenna [48]
We can find angle STN through sum of angles in a triangle.
180 - 90 - 32 = 59 degrees.

Therefore, x is 59 degrees because they are alternate angles, indicated by the Z shape.

We can work out angle MNT by sum of angles in a line.
180 - 59 = 121 degrees.

3y + 4 = 121
3y = 117
y = 39
4 0
3 years ago
Read 2 more answers
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