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vlada-n [284]
3 years ago
8

what is the equation in slope form of the line that is parallel to the given line and passes through the point (-3,1)​

Mathematics
1 answer:
viktelen [127]3 years ago
6 0

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate the slope of the given line using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

m = \frac{2+4}{2+2} = \frac{6}{4} = \frac{3}{2}

Parallel lines have equal slopes and using (a, b) = (- 3, 1), then

y - 1 = \frac{3}{2}(x - (- 3)), that is

y - 1 = \frac{3}{2}(x + 3) ← in point- slope form

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Answer:

The base of the logo must be less than 6 feets but greter than 0 feet, 0<b<6.

Step-by-step explanation:

The formula of area of triangle is A = 1/2×b×h where b is the base and h is the height. It is given that the height of the logo is 4ft and the area is lesa than 12 ft². Using this information, we can make an inequality exrpression :

Let h = 4ft

1/2 × b × 4 < 12

1/2 × b < 12 ÷ 4

1/2 × b < 3

b < 3 ÷ 1/2

b < 6 ft

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3 years ago
The show the work for these problems
pychu [463]

Answer:

Part A $150.00

Part B $140.00 because you would do 35 x 4 = 140.

Part C, He will have $17 left over. You would take 167 - 140 = 17

Question 5, The would have gathered $150 because you would take 30 x 5 = 150.





6 0
3 years ago
You really enjoy cooking and are planning on having friends over for dinner. You
Sonja [21]

Answer:For B I have 42 minutes.

Step-by-step explanation:

First 4 people x 8 minutes per person = 32.

Plus the additional 10 minutes = 42 minutes

5 0
3 years ago
In an all boys school, the heights of the student body are normally distributed with a mean of 71 inches and a standard deviatio
muminat

Answer:

15.87%

Step-by-step explanation:

First thing here is that we calculate the z-score which corresponds to 76

mathematically;

z-score = (x-mean)/SD

mean = 71 and SD = 5

plugging these values, we have;

z = (76-71)/5 = 5/5 = 1

Now, we want to firstly get the probability that we have a student shorter than 76 inches

The probability we want to calculate is P(z<1)

we can get this using the z-score table directly

That would be 0.15866

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7 0
3 years ago
Solve 2x2 + 20x = −38. (1 point)
RoseWind [281]

Answer:

The solutions are x=-5+\sqrt{6}  and x=-5-\sqrt{6}


Step-by-step explanation:

we have

2x^{2} +20x=-38

Divide by 2 both sides

x^{2} +10x=-19 ------> x^{2} +10x+19=0

we know that


The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to


x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}


in this problem we have


x^{2} +10x+19=0

so


a=1\\b=10\\c=19


substitute

x=\frac{-10(+/-)\sqrt{10^{2}-4(1)(19)}}{2(1)}


x=\frac{-10(+/-)\sqrt{100-76}}{2}


x=\frac{-10(+/-)\sqrt{24}}{2}


x=\frac{-10(+/-)2\sqrt{6}}{2}


x1=\frac{-10(+)2\sqrt{6}}{2}=-5+\sqrt{6}


x2=\frac{-10(-)2\sqrt{6}}{2}=-5-\sqrt{6}


8 0
3 years ago
Read 2 more answers
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