Answer:
22
Step-by-step explanation:
Long but I got a lot done so i'm proud of myself. How was your day?
The first thing I'll do is solve "5y = 2x + 20" for "<span>y=</span>", so that I can find my reference slope:
y = (2/5)x + 4;
So the reference slope from the reference line is <span>m = 2/5;</span>.
Now I need to find two new slopes, and use them with the point they've given me; namely, with the point (-1, 3). They want me to find the line through (4, –1) that is parallel to 5y = 2x + 20; that is, through the given point, they want me to find a line that has the same slope as the reference line.
Since a parallel line has an identical slope, then the parallel line through (-1, 3) will have slope <span>m = 2/5</span>. Now I have a point and a slope! So I'll use the point-slope form to find the line: y - 3 = (2/5)( x + 1);
Finally, y = (2/5)x + 17/5;
Answer:
<em>Part 1 : Equation: ( 3x - 9 ) + 30 + 24 = 180,</em>
<em>Part 2 : Value of x ⇒ 45°,</em>
<em>Part 3 : Measure of Angle U ⇒ 126°</em>
Step-by-step explanation:
~ Part 1 ~
We know that ∑ of angles in a triangle is 180;
m∠ U + m∠ V + m∠ W = 180°,
<em>Equation: ( 3x - 9 ) + 30 + 24 = 180</em>
~ Part 2 ~
Now let us simplify the equation above to solve for x;
3x - 9 + 30 + 24 = 180,
3x - 9 = 126,
3x = 135,
x = 45 degrees ( ° ) ⇒
<em>Value of x ⇒ 45°</em>
~ Part 3 ~
If it is known that m∠ U ⇒ 3x - 9;
m∠ U = 3 * ( 45 ) - 9,
m∠ U = 135 - 9,
m∠ U = 126 degrees ( ° ) ⇒
<em>Measure of Angle U ⇒ 126°</em>
10 2/3 inches=32/3 inches
8 3/4 inches= 35/4 inches
Find the common denominator, in this case, 12.
128/12 inches is Carla's plant
105/12 inches is Yolanda's plant.
128/12 > 105/12. Therefore, Carla's plant is taller than Yonlanda's
Answer:
x + 4y = 20
Step-by-step explanation:
Step 1: Subtract "x" on both sides.
x + 4y = 20
<u>-x -x</u>
Step 2: Simplify --> 4y = -x +20
Step 3: Divide 4 on all sides to leave "y" by itself. 4y = -(1)x + 20
4 4 4
Step 4: Simplify: y = -1/4x + 5
Answr: The Slope is "-1/4". The slope will always be the number in front of the "x".
