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Gnesinka [82]
3 years ago
6

The given line passes through the points (-4,-3) and (4,

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
6 0

Answer:

Step-by-step explanation:

first we gotta find the slope of the first line

(-4,-3),(4,1)

slope = (y2 - y1) / (x2 - x1) = (1- (-3) / (4 - (-4) = (1 + 3) / (4 + 4) = 4/8 = 1/2

so the slope is 1/2.....so we are looking for a line that is perpendicular....perpendicular lines have negative reciprocal slopes...all that means is flip the slope and change the sign....so the slope we need is :

1/2....flip it....2/1.....change the sign....-2.....we need a -2 slope

y - y1 = m(x - x1)

slope = -2

(-4,3)...x1 = -4 and y1 = 3

now sub

y - 3 = -2(x - (-4) =

y - 3 = -2(x + 4) <=====

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a certain shade of blue is made by mixing 1.5 quarts of blue paint with 5 quarts of white paint. If you need a total of 16.25 ga
Law Incorporation [45]

we know the blue and white paints are on a 1.5 : 5 ratio, thus, if we have a total of 16.25 gallons of paint to be split along that ratio, we can simply divide 16.25 by (1.5+5) and distribute accordingly.

\bf \cfrac{blue}{white}\qquad \stackrel{ratio}{1.5:5}\qquad \cfrac{1.5}{5}~\hspace{5em}\cfrac{1.5\cdot \frac{16.25}{1.5+5}}{5\cdot \frac{16.25}{1.5+5}}\implies \cfrac{1.5\cdot \frac{16.25}{6.5}}{5\cdot \frac{16.25}{6.5}} \\\\\\ \cfrac{1.5\cdot 2.5}{5\cdot 2.5}\implies \cfrac{3.75}{12.5}\qquad \qquad \boxed{\stackrel{blue}{3.75}~:~\stackrel{white}{12.5}}

5 0
3 years ago
Determine whether the random variable is discrete or continuous. a. The distance a baseball travels in the air after being hit.
vodomira [7]

Answer and explanation:

Discrete random variables can be counted as integers and you can't divide them. Continuous random variables are counted as real numbers and are magnitudes that can´t be counted as an exact number (there will always be an uncertainty in the measurement).

a. The random variable is continuous. Distance is a measurement.

b. The random variable is discrete. You can count how many people are sitting at a computer.

c. The random variable is continuous. Weight is a measurement.

d. The random variable is discrete. You can count how many fishes were caught.

e. The random variable is discrete. You can count how many hints a web site had.

7 0
3 years ago
Please help me pleasse
nirvana33 [79]

Answer:

75 mph

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
SOMEONE PLEASE HELP ME WITH THIS!!<br> IMAGE DOWN BELOW!!<br> ILL GIVE YOU BRAINLIST ANSWER!!
drek231 [11]

Answer:

5.946 cm

Step-by-step explanation:

Using the Pythagorean Theorem, we know that in a right angle triangle to find the longest side we must use the equation a^2 = b^2 + c^2

A is the longest side while b and c are the other two sides

To find one side we must use

b^2 = a^2 - c^2

a squared = 6.9 squared - 3.5 squared

a^2 = 35.36

square root 35.36 to get a

a = 5.946427499

a (3 d.p.) = 5.946

4 0
2 years ago
The set of natural numbers x that satisfy x + 8 = 5
Maksim231197 [3]

Answer:

The set of natural numbers can be denoted as: {} (null set) because no natural number will satisfy the given equation.

Step-by-step explanation:

Given equation:

x+8=5

To find the set of natural numbers that satisfies the above equation.

Solution:

In order to find the set of solutions for the equation, we will solve it for x

We have:

x+8=5

Subtracting both sides by 8.

x+8-8=5-8

∴ x=-3

Thus, we get only one solution for x that satisfies the given equation but it is not a natural number. -3 is an integer.

Set of natural numbers {1,2,3,4,5,6........}

Thus, we can say the set of natural numbers that satisfies the equation is a null set {}.

8 0
3 years ago
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