Answer:
slope = - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 10x + 5 ← is in slope- intercept form
with slope m = - 10
Simplify √-y to √yi
3+ 2y = √yi
Square bot sides
(3 + 2y)^2 = -y
Expand
9 + 12y + 4y^2 = -y
Move all terms to one side
9 + 12y + 4y^2 + y = 0
Simplify 9 + 12y + 4y^2 + y to 9 + 13y + 4y^2
9 + 13y + 4y^2 = 0
Split the second term in 9 + 13y + 4y^2 into two terms
4y^2 + 9y + 4y + 9 = 0
Factor out common terms in the first two terms, then in the last two terms
y(4y + 9) + (4y + 9) = 0
Factor out the common term 4y + 9
(4y + 9)(y + 1) = 0
Solve for y
y = -9/4, -1
Check solution
when y = -9/4, the original equation; 3 + 2y = √-y does not hold true. We will drop y = -9/4 from the solution set.
Therefore,
<u>y = -1</u>
The bisector divides the line BC in the following ratio.
(x + 8) / 10 = (2x - 5) / 14 Cross Multiply
14(x + 8) = 10(2x - 5) Remove the brackets.
14x + 112 = 20x - 50 Subtract 14x from both sides . Add 50 to both sides
112 + 50 = 20x - 14x Collect like terms
162 = 6x Divide by 6
x = 27
Hello!
Explanation:
↓↓↓↓↓↓↓↓↓↓
First you had to add by 
from both sides of the equation.
Simplify it should be the correct answer.
Answer⇒⇒⇒⇒⇒r=2
Hope this helps!
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Have a great day!
-Charlie
Answer:
182 m³
Step-by-step explanation:
the volume of the fuel tank in m³:
182,000 litres ÷ 1,000 = 182 m³
