Answer:
KL = 28
YZ = 76
LZ = 38
Step-by-step explanation:
Because J K and L are midpoints, the segment lengths are half of the segments from the XYZ triangle.
Think of it like this: ZLK is just ZXY scaled to half.
From that we get:
KL = YX/2 = 56/2 = 28
YZ = 2*KJ = 2*38 = 76
LZ = YZ/2 = 76/2 = 38
The length of DE=sqrt((1-4)^2+(4-0)^2)=sqrt(3^2+4^2)=5
In principle, a rhombus has four equal sides, so the perimeter is 4*5=20 (units)
However, to ensure there is no typo, it is advisable to calculate separately the length of each and every side.
Answer: 57 ft²
Step-by-step explanation:
Find the areas of the two individual rectangles and then add that up to find the area of the figure:
Rectangle A: Rectangle B:
= Length * Width = 11.5 * 3
= 7.5 * 3 = 34.5ft²
= 22.5 ft²
Area of figure:
= 22.5 + 34.5
= 57 ft²
A function is an equation or graph where each x value only has one y value. In the first image you can use the vertical line test. Take your pencil and lay it on the paper vertically. Move it across the graph. Basically if an x value has multiple y value it is not a function. The first image is not a function because all x values past zero have multiple y values for each x value. In the second image it is not A because in A the x value of 2 has a y value of 1 and 8. It is not B because the 5 has a y value of 3 and 7. It’s is not D because of the 5 again. It is C because all x values are unique.
Hope that helps
Answer:
x = 7/2 or x = -8/3
Step-by-step explanation:
Solve for x over the real numbers:
6 x^2 - 5 x = 56
Divide both sides by 6:
x^2 - (5 x)/6 = 28/3
Add 25/144 to both sides:
x^2 - (5 x)/6 + 25/144 = 1369/144
Write the left hand side as a square:
(x - 5/12)^2 = 1369/144
Take the square root of both sides:
x - 5/12 = 37/12 or x - 5/12 = -37/12
Add 5/12 to both sides:
x = 7/2 or x - 5/12 = -37/12
Add 5/12 to both sides:
Answer: x = 7/2 or x = -8/3
