What is the question? If you are only trying to expand the
expression then the answer would be:
1/4 (5y-3)+ 1/16 (12y+17)
(5y/4) – (3/4) + (12y/16) + (17/16)
1.25y – 0.75 + 0.75y + 1.0625
2y + 0.3125
If you are trying to find for y, then you forgot to equate
it to 0, that is:
2y + 0.3125 = 0
2y = -0.3125
<span>y = 0.15625</span>
Answer:
y = x - 5
Step-by-step explanation:
Given the point, (10, 5), and the slope, m = 1:
Substitute these values into the <u>slope-intercept form</u> to solve for the y-intercept, <em>b</em>:
y = mx + b
5 = 1(10) + b
5 = 10 + b
Subtract 10 from both sides to isolate b:
5 - 10 = 10 - 10 + b
-5 = b
The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).
Therefore, given the slope, m = 1, and the y-intercept, b = -5:
The equation of the line in slope-intercept form is: y = x - 5.
Answer:
(3) 49
Step-by-step explanation:
The circle diagram is attached below. angle mVS = 146°
and angle mST = 64°.
mWT = 360 -64 - 146 = 150 (angle at a point)
∠ VWS = 73° = mVS / 2
MVW = 180 - 146 = 34 (angle in a straight line)
MVW = 180 -73 - 34 = 73° (angle in a triangle)
∠TMR = 180 - 64 = 116° (angle on a straight line)
∠VMT = 116 + 34 = 150°
∠ MVT = ∠ MTV (base angles of an isosceles triangle)
150 +2∠ mTV = 180
∠ MTV = 15°
∠RVW = 73 - 15 = 58°
∠RVW + ∠ VWS + ∠VRW = 180
∠VRW = 180 - 58 - 73 = 49
9514 1404 393
Answer:
x = 10; WX = 5; HJ = 10
Step-by-step explanation:
The hash marks indicate that points W and X are midpoints of their respective segments. That makes WX a midline of the triangle. The midline is always half the length of the base (HJ). We can use this fact to write an equation relating the lengths.
HJ = 2·WX
x = 2(x -5) . . . .substitute the given expressions
x = 2x -10 . . . . eliminate parentheses
10 = x . . . . . . . add 10-x to both sides
This value of x tells you that ...
HJ = x = 10
WX = x -5 = 5
