Answer: y=4x-23
Step-by-step explanation:
First multiply the 4 on the right side to make it y+3=4x-20. Then subtract 3 on both sides to get y=4x-23
Answer:
As the largest side is
15
yards and smaller sides are
9
yards and
12
yards
from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.
Square of largest side is
15
2
=
225
and squares of smaller two sides are
9
2
=
81
and
12
2
=
144
.
As
225
=
81
+
144
, the triangle is right angled.
Step-by-step explanation:
Answer:
9. a = -7
10. x = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
a + 6a - 14 = 3a + 6a
<u>Step 2: Solve for </u><em><u>a</u></em>
- Combine like terms: 7a - 14 = 9a
- Subtract 7a on both sides: -14 = 2a
- Divide 2 on both sides: -7 = a
- Rewrite: a = -7
<u>Step 3: Check</u>
<em>Plug in a into the original equation to verify it's a solution.</em>
- Substitute in <em>a</em>: -7 + 6(-7) - 14 = 3(-7) + 6(-7)
- Multiply: -7 - 42 - 14 = -21 - 42
- Subtract: -49 - 14 = -63
- Subtract: -63 = -63
Here we see that -63 is equal to -63.
∴ a = -7 is a solution of the equation.
<u>Step 4: Define equation</u>
-12 - 4x = 8x + 4(1 - 7x)
<u>Step 5: Solve for </u><em><u>x</u></em>
- Distribute 4: -12 - 4x = 8x + 4 - 28x
- Combine like terms: -12 - 4x = -20x + 4
- Add 20x on both sides: -12 + 16x = 4
- Add 12 on both sides: 16x = 16
- Divide 16 on both sides: x = 1
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -12 - 4(1) = 8(1) + 4(1 - 7(1))
- Multiply: -12 - 4 = 8 + 4(1 - 7)
- Subtract: -16 = 8 + 4(-6)
- Multiply: -16 = 8 - 24
- Subtract: -16 = -16
Here we see that -16 does indeed equal -16.
∴ x = 1 is a solution of the equation.
First we need the slope and the y int which can be found by putting ur equation in y = mx + b form, where m is ur slope and b is ur y int.
8x + 2y = 24
2y = -8x + 24
y = -4x + 12.....so the slope is -4, and the y int is 12 or (0,12)
to find the x int, sub in 0 for y and solve for x....in either the original equation or the slope intercept equation
8x + 2y = 24
8x + 2(0) = 24
8x = 24
x = 24/8
x = 3.....so the x int is 3 or (3,0)
now plot ur intercepts (3,0) and (0,12)......now start at ur y int (0,12)...and since ur slope is -4, u come down 4 spaces, then to the right 1 space, then down 4, and to the right 1...keep doing this and u should cross the x axis at (3,0)
Answer:
4/15
Step-by-step explanation:
2/3 play sports
2/5 play football
Of the 2/3 that play sports, 2/5 of them play football
2/3(2/5) = 4/15
