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Sholpan [36]
3 years ago
7

Help please! Sorry for the image quality.

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
8 0

Answer:

\displaystyle (-1,\frac{-3}{2})

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Midpoint Formula: \displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (-3, 1)

Point (1, -4)

<u>Step 2: Find Midpoint</u>

Simply plug in your coordinates into the midpoint formula to find midpoint

  1. Substitute [MF]:                         \displaystyle (\frac{-3+1}{2},\frac{1-4}{2})
  2. [Fractions] Add/Subtract:         \displaystyle (\frac{-2}{2},\frac{-3}{2})
  3. [Fractions] Divide:                    \displaystyle (-1,\frac{-3}{2})
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Write an equation perpendicular to x - 4y = 20 that passes through the point (4, -3)
Nina [5.8K]

Answer:

y = - 4x + 13

Step-by-step explanation:

In order to do this problem you would need a whole new equation, but you will use what is given to you:

instead of going with:

x - 4y = 20

Turn it into y = mx + b form, also known as slope-intercept form:

x - 4y = 20

-x       = -x

_________

- 4y = 20 - x

Then divide both sides by - 4:

\frac{-4y}{-4} = \frac{-x + 20}{-4}

You will then get:

y = \frac{1}{4}x - 5

From this equation we will only need the slope!

m || = \frac{1}{4}

(This slope is for parallel)

but if you want perpendicular to the slope, then we need the negative reciprocal!

Negative reciprocal is a flipped version of the value that is negative, for example:

2 = -\frac{1}{2}

Because \frac{2}{1} = 2

Now we will find the perpendicular slope which is:

m ⊥ = - 4

Now substitute this slope into slope intercept form:

y = mx + b

(-3) = -4(4) + b

(Take away parentheses)

-3 = -16 + b

(Move - 3 to the other side, by making it positive, but what you do to one side, you do to the other)

= -13 + 6

(Move - 13 to the other side, by make - 13 into +13)

+13 = +13

________

13 = b

(This is you b, also known as you intercept)

Your answer is:

y = -4x + 13

8 0
3 years ago
Which calculation will ALWAYS give a result greater than 1? A.5 × a number less than 1 B.4/9+ a fraction less than 12 C. 1 3/4 -
Bas_tet [7]

Answer:

  C.  1 3/4 - (a fraction less than 3/4)

Step-by-step explanation:

Your number sense should be able to help you with this one.

A. 5 × 1/10 = 1/2, not a number greater than 1

B. 4/9 + 1/3 = 7/9, not a number greater than 1

C. 1 3/4 -1/2 = 1 1/4, a number greater than 1 (see below for more explanation)

D. 7/8 × 1/2 = 7/16, not a number greater than 1.

__

<em>More explanation</em>

Let x represent a number less than 3/4. Then we want to make sure that ...

  y = 1 3/4 - x

will be greater than 1.

Solving for x, we get ...

  x = 1 3/4 - y

Applying the requirement that x < 3/4, we have ...

  x < 3/4

  (1 3/4 -y) < 3/4

  1 3/4 < y + 3/4 . . . . . . add y

  1 < y . . . . . . . . . . . . . . .subtract 3/4

We see that the condition on x makes sure that y is always greater than 1.

3 0
3 years ago
Please help!!!!this is my last part of my discussion and I am stuck on it I would really appreciate the help!!
frosja888 [35]

x + 5 = 0 - > x = -5

5 0
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If i make 1.5 million dollars per day, plus an extra 250k interest every 31 hours, how much money do i make per day?
lidiya [134]

Answer: Alot

Step-by-step explanation:

4 0
3 years ago
Which triangle is similar to ABC
tankabanditka [31]
The triagle which is similar to ABC id DEF. The first option is correct since thwy have the same measurement of its sides
4 0
3 years ago
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