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Delicious77 [7]
2 years ago
12

What is the equation of the line AB, if it passes through (-4,0), and is parallel to the line

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
6 0

Rewriting the equation of the given line in slope-intercept form,

-x-4y=1\\\\-4y=x+1\\\\4y=-x-1\\\\y=-\frac{1}{4}x-\frac{1}{4}

From this, we know the slope of the given line is -1/4.

Since parallel lines have the same slope, we know the line whose equation we want to find has a slope of -1/4.

Substituting into point-slope form,

y=-\frac{1}{4}(x+4)\\\\\boxed{y=-\frac{1}{4}x-1}

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Identity each pair of angles as complementary, supplementary, or neither.
CaHeK987 [17]

Answer:

Neither

Supplementary

Supplementary

Step-by-step explanation:

1) 90 + 43 = 133

Since this value does not equate to 90 or 180. The answer is Neither

2) 61 + 119 = 180

Since the answer equates to 180. The answer is Supplementary

3) 90 + 90 = 180

Since the answer equates to 180. The answer is Supplementary

4 0
2 years ago
What's the x-intercept for number 26?
Lunna [17]
It gives function: h = -16t^2 + 40
water is when height is 0 so solve for 0= -16t^2 + 40
subtract 40 from both sides: -40 = -16t^2
divide by -16: -40/-16 = t^2
simplify: 5/2 = t^2
square root both sides: 1.58 = t

the orange hits the river in 1.58 seconds.
6 0
3 years ago
Two integers, n and p, have a product of -18. What is the largest possible sum of n and p?
Naily [24]

Answer:

17

Step-by-step explanation:

The two integers could be -1 and 18.

18 + -1 = 17

Any other combination of integers that have a product of -18 would have a smaller sum.

4 0
3 years ago
True or false there are more rational numbers than irrational numbers?
koban [17]
True because rational numbers are countable, but the irrational numbers are uncountable.
4 0
3 years ago
Read 2 more answers
Nationwide, it is estimated that 40% of service stations have gas tanks that leak to some extent. A new program in California is
fredd [130]

Answer:

Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .

Step-by-step explanation:

The sample proportion is p2= 7/27= 0.259

and q2= 0.74

The sample size = n= 27

The population proportion = p1= 0.4

q1= 0.6

We formulate the null and alternate hypotheses that the new program is effective

H0: p2> p1   vs  Ha: p2 ≤ p1

The test statistic is

z= p2- p1/√ p1q1/n

z= 0.259-0.4/ √0.4*0.6/27

z=  -0.141/0.09428

z= -1.496

The significance level ∝ is 0.05

The critical region for one tailed test is z ≤ ± 1.645

Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .

8 0
3 years ago
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