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3 years ago

Write (-3, -5) (-1, -19) in point slope form

Mathematics

1 answer:

stiv31 [10]3 years ago

8 0

Answer:

(y + 5) = -7(x + 3)

Step-by-step explanation:

Point Slope Form: (y - y1) = m(x - x1)

Step 1: Find Slope

m = $\frac{y2 - y1}{x2 - x1}$

m = $\frac{-19 - (-5)}{-1 - (-3)}$

m = $\frac{-19 + 5}{-1 + 3}$

m = $\frac{-14}{2}$

m = -7

Step 2: Put into point slope form

Point Slope Form: (y - y1) = m(x - x1)

(y - (-5)) = -7(x - (-3))

(y + 5) = -7(x + 3)

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For the given expression, which whole number (w) will make the expression true? 5/6

Sonja [21]

Answer:

D. 7

Step-by-step explanation:

The question is incomplete. Here is a possible complete question

For the given expression, which whole number (w) will make the expression true? 5/6 < w/6

A. 3

B. 4

C. 5

D. 7

Given the inequality expression:

5/6 < w/6

Cross multiply

5×6 < 6×w

30<6w

Divide both sides by 6

30/6 = 6w/6

5<w

Reciprocate both sides(this will change the sense of the inequality)

1/5>1/w

Cross multiply

w > 5×1

w>5

This shows that the value of w is a value greater than 5 but not 5. According to the option, the only value greater than 5 is 7. Hence the whole number (w) that will make the expression true is 7

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3 years ago

A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

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3 years ago

Write the equation of this circle in standard form

givi [52]

Answer:

Step-by-step explanation:

because if you solve the problem it is equal to c

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2 years ago

Sin A= Cos A= Tan A=

natulia [17]

Sin(A) = opposite/hypotenuse = 12/13

Cos(A) = adjacent/hypotenuse = 5/13

Tan(A) = opposite/adjacent = 12/5

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2 years ago

Read 2 more answers

If you roll a standard six sided dice, what is the probability you will roll a four?

astra-53 [7]

Answer:

1/6

Step-by-step explanation:

There are 6 sides on a dice. Every time you roll you you will have one of those sides. So it is a 1 in 6 chance of you getting 4, meaning that the answer to this problem is 1/6

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3 years ago