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galina1969 [7]
3 years ago
10

A line passes through the point (10,-1) and has a slope of -1/2

Mathematics
1 answer:
-BARSIC- [3]3 years ago
5 0

with a point given and the slope , you can find the the line, of this form,  THE EQUATION POINT SLOPE IS

Y-Y1= M(X-X1)  , Y-(-1) = -1/2( X- 10),   Y+1 = -1/2X+ 5, Y = -1/2 X +5 -1,  Y = -1/2X+ 4

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Use the substitution method to solve the system of equations.
Murrr4er [49]

Answer:

D. (1/4, -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

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -8x

4x - y = 3

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                    4x - (-8x) = 3
  2. Simplify:                               4x + 8x = 3
  3. Combine like terms:           12x = 3
  4. Isolate <em>x</em>:                              x = 3/12
  5. Simplify:                               x = 1/4

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define equation:                    y = -8x
  2. Substitute in <em>x</em>:                       y = -8(1/4)
  3. Multiply:                                  y = -2
8 0
3 years ago
What is the fifth term of a number pattern that begins with 32 and adds 5? A. 47 B. 42 C. 52 D. 57
artcher [175]

The answer you want would be C.52

Reason: 32+5= 37 that is the 1st and 2nd term. 37+5=42 thatis the 3rd term. 42+5=47 that's the 4th term. And 47+5=52 that's the 5th term.

Hope it helps!!


8 0
4 years ago
What is the following product? (5√2-4√3)(5√2-4√3)
Galina-37 [17]

Step-by-step explanation:

(5√2-4√3)(5√2-4√3)=

(5√2-4√3)^2=(5√2)^2+(4√3)^2-2(5√2)(4√3)

=25*2+16*3-10√2*4√3

=50+48-10√2*4√3

=98-10√2*4√3 is the answer

6 0
3 years ago
a square has the side measurment of s = 2 3 over 2 using the formula 1= s^2 find the area of the square
vitfil [10]
Check the picture below.

\bf A=s^2\qquad s=2\frac{3}{2}\qquad A=\left( 2\frac{3}{2} \right)^2\implies A=\left( \frac{2\cdot 2+3}{2} \right)^2&#10;\\\\\\&#10;A=\left( \frac{7}{2} \right)^2\implies A=\cfrac{7^2}{2^2}\implies A=\cfrac{49}{4}\implies A=12\frac{1}{4}

3 0
3 years ago
If a triangle has an area of 192 mm2, and the
Debora [2.8K]

Answer:32mm

Step-by-step explanation:

area of triangle = 1/2 *base * height

192mm2 = 1/2 *b* 12mm

192 =6b

base=192/6

base= 32mm

3 0
3 years ago
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