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Oxana [17]
3 years ago
13

Write the equation of the line perpendicular to F(x)=5 that goes through (-1, -3)

Mathematics
1 answer:
Ainat [17]3 years ago
3 0

Answer:

x = -1

Step-by-step explanation:

y = 5 is a horizontal line

It's perpendicular would be a vertical line of the form:

x = a

Since it passes through (-1,-3)

a = -1

Hence line is: x = -1

You might be interested in
Solve for w. -22w-5)+5w-5(w+4) Simplify your answer as much as possible.​
Anna [14]

Answer: −22w−25

Step-by-step explanation: Distribute:

=−22w+−5+5w+(−5)(w)+(−5)(4)

=−22w+−5+5w+−5w+−20

Combine Like Terms:

=−22w+−5+5w+−5w+−20

=(−22w+5w+−5w)+(−5+−20)

=−22w+−25

8 0
3 years ago
Factor 125x^3-1000. Show your work.
Salsk061 [2.6K]

The left term is (5x)³.

The right term is 10³.

So, you can use the formula for the factorization of the difference of cubes.

... a³ - b³ = (a-b)(a² +ab +b²)

Here, you have a=5x, b=10, so the factorization is

... 125x³ -1000 = (5x-10)(25x² +50x +100)

4 0
3 years ago
Solve the following equation for aa. Be sure to take into account whether a letter is capitalized or not.
Snezhnost [94]

Answer:

Since you state that capitalization is important, then we can see that it is not possible to solve the equation for F.

If that's correct, then the only point of this was that we need to pay attention to symbols when dealing with equations or expressions

Step-by-step explanation:

happy to help have a bless day or night:)

3 0
3 years ago
Where are white blue and red boat in the Marina three fourths of the boats in the Marina are white for seventh of the remaining
xeze [42]

Answer:

28

Step-by-step explanation:

Here is the complete question used in answering this question :

Three-fourths of the boats in the marina are white. 4/7 of the remaining boats are blue , and the rest are red . If there are 9red boats, how many boats are in the marina?

We first have to determine the fraction of the boats that are red

1 - (\frac{3}{4} + \frac{4}{7})

1 - \frac{21 + 16}{28}

1 - \frac{37}{28}

1 - 1\frac{9}{28}

= 9/28

so, 9/28 of the boats are red

let b represent the total number of boats

9/28 x b = 9

to find b, divide both sides of the equation by 28/9

b = 28

5 0
3 years ago
Find the area of a circle circumscribing an equilateral triangle of side 15cm.<br> Take pi = 3.14.
miskamm [114]

Answer:

236 cm²

Step-by-step explanation:

Height of an equilateral triangle (h) = √3 /2 (l)

l = side of the equilateral triangle.

h = √3 /2 (15)

In an equilateral triangle the orthocenter, centroid, circumcenter and incenter are in the same spot

The center of the circle is the centroid and height match  with the median. The radius of the circumcircle is equal to two thirds the height.

Formula for the Radius of the circumcircle = 2/3 h

= 2/3 x √3 /2 (15)

= 5 √3 cm     (=radius)

Area of the circle = πr^

= 3.14 x( 5 √3 ) ^

=3.14 x(25*3)

=3.14 x 75

=235.5

=236 cm²

8 0
3 years ago
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