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Agata [3.3K]
4 years ago
13

!!!URGENT!!!

Mathematics
1 answer:
GenaCL600 [577]4 years ago
7 0

Answer:

r = 0.

Step-by-step explanation:

The slope = (y2 - y1) / (x2 - x1)

So  (r - (-3)) / (-4-2) = -1/2

(r + 3) / -6 = -1/2

2(r + 3)  = 6

2r + 6 = 6

2r = 6 - 6 = 0

r = 0  (answer).

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The value of x should be 90 degrees
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Rei is barricading a door to stop a horde of zombies. She stacks boxes of books on a table in front of the door. Each box weighs
k0ka [10]

Answer: The answer is W=70+30x

Step-by-step explanation: Given that Rei is barricading a door to stop a horde of zombies by satcking boxes of books on a table in front of the door.

The weight of each box is 30 kilograms and the weight of the table with 8 boxes on the top is 310 kilograms.

Therefore, the weight of the table without boxes is 70 kilograms.

Now, if 'W' is the total weight of the barricade, then it can be written as a function of 'x', the number of boxes Rei stacks on the table. The expression is as follows -

So, if 'g' denotes the weight of the table alone, then we have,

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3 years ago
a bird is flying at a true bearing of 75 degree's at a speed of 40 miles per hour. Write the velocity of the bird as a vector in
Allisa [31]

Answer: V = (10.4 mph, 38.6 mph)

Step-by-step explanation:

The velocity is written as (vx, vy)

where vx is the component of the velocity in the x-axis and vy is the component of the velocity in the y-axis.

In usual notation, the angles are measured counterclockwise from the positive x-axis.

We know that the angle is 75°, this means that the velocity in the x-axis will be equal to the total velocity of the bird projected in the x-axis (suppose a triangle rectangle, where the velocity is the hypotenuse, the x component is a cathetus and the y component is other cathetus)

vx = 40mph*cos(75°) = 10.4 mph

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5 0
4 years ago
Martin sorted the bolts in his toolbox by size they measured 3/8 inch 1/2 inch 5/8 inch 7/8 inch and 1 1/4 inches what is the di
Ahat [919]

The lengths of the bolts are given,

\frac{3}{8} inch, \frac{1}{2} inch, \frac{5}{8} inch, \frac{7}{8} inch, 1\frac{1}{4} inch.

First we have to convert the mised fraction 1 \frac{1}{4} to improper fraction.

1\frac{1}{4} =\frac{(1)(4)+1}{4}

= \frac{4+1}{4}  =\frac{5}{4}

Now we have to make the all the denominators equal of the given fraction to find the longest and shortest bolt.

We can make the common denominator 8, as the multiple of all the denominators is 8.

\frac{1}{2} =\frac{(1)(4)}{(2)(4)}   =\frac{4}{8} inch

\frac{5}{4} =\frac{(5)(2)}{(4)(2)}   =\frac{10}{8} inch

So in the given lengths, \frac{3}{8} inch is shortest and 1\frac{1}{4} or \frac{10}{8} inch is longest.

The difference between them is,

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\frac{(10-3)}{8} = \frac{7}{8}

So we have got the required answer.

The difference between longest and shortest lengths is \frac{7}{8}.

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