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jolli1 [7]
2 years ago
8

(0,-7), (4,1) how to write in standard form

Mathematics
1 answer:
MrRa [10]2 years ago
8 0

Answer:

slope intercept form of the equation for these points would be y=2x-7

standard form of linear equations for this equation would be: -2x+y=-7

Step-by-step explanation:

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There are 162 magazines and books in a library. There are 54 more books
Strike441 [17]

Answer:

108 books.

Step-by-step explanation:

Let the number of magazines = m

Let the number of books = b

<u>Given the following data;</u>

Total number of m & b = 162

<em>Translating the word problem into an algebraic equation, we have;</em>

b = m + 54 ......equation 1

m + b = 162 ......equation 2

<em>Substituting equation "1" into equation "2" we have;</em>

m + m + 54 = 162

2m + 54 = 162

2m = 162 - 54

2m = 108

m = \frac {108}{2}

m = 54

Now to find the number of books;

b = m + 54

Substituting the value of "m" into the equation, we have;

b = 54 + 54

<em>b = 108</em>

<em>Therefore, the total number of books in the library is 108 books. </em>

7 0
3 years ago
Inverse of f(x) = 3 + 2 In x?
JulsSmile [24]
This is the inverse of f(x)= -3 - (-2)
4 0
3 years ago
Write the fraction or decimal as a percent #1. 0.622 ,#2. 0.303 #3. 2.45
Pani-rosa [81]
So do you need it as a percent or a fraction?
8 0
3 years ago
The minute hand of a clock is 1010 inches long and moves from 12 to 33 ​o'clock. How far does the tip of the minute hand​ move?
kenny6666 [7]

Answer: 2929 π  inch

Step-by-step explanation:

Circumference is given by= 2πr

Here r= 1010 inches

So Tip of minute hand moves= 2π (1010inch)

                                                = 2020 π inch for an hour

Now it comes from 12 to 33 o'clock=  1.45 hour so,

Tip of minute hand moves= 2020 π inch  x 1.45

Tip of minute hand moves= 2929 π  inch

5 0
2 years ago
Find all solutions to the equation:
crimeas [40]

Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5

That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n

The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.

Note: The variable n can be any integer.

7 0
2 years ago
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