Answer:
( 4, 0 ) and ( 0,-8 )
Step-by-step explanation:
→ Rearrange into y = mx + c format
4x - 2y = 16
→ Minus 4x from both sides
-2y = -4x + 16
→ Divide everything by 2
-y = -2x + 8
→ Multiply everything by -1
y = 2x - 8
→ Substitute x = 0 to find the y-intercept and y = 0 to find the x intercept
x = 0 then y = -8 so ( 0,-8 )
y = 0 then x = 4 so ( 4, 0 )
Answer:
6%
Step-by-step explanation:
- 90 + 60 = 150
- 7 + 2 = 9
- Set up a proportion:
- Cross multiply, then divide: 9 × 100 = 900, 900 ÷ 150 = 6
- So, 6% of students in 6th grade were left-handed
I hope this helps!
Answer:
48x² + 24x + 3
Step-by-step explanation:
Width = (4x + 1) in
Length = 3 *width = 3*(4x + 1) = 3*4x + 3*1
= (12x + 3) in
Area of rectangle = length * width
= (12x + 3) (4x + 1)
= 12x *4x + 12x *1 + 3*4x + 3*1
= 48x² + 12x + 12x + 3
= 48x² + 24x + 3
Answer:
The area of the triangle is of 21 units of area.
Step-by-step explanation:
The area of a triangle with three vertices
is given by the determinant of the following matrix:

In this question:
Vertices (3,0) (9,0) (7,6). So




The area of the triangle is of 21 units of area.
Answer:
15, 60, and 61
Step-by-step explanation:
First we have to find the 3rd side length from 2 side length chosen. So let’s pick 8 meters and 11 meters, to find the third side length we use the Pythagorean theorem: c^2 = a^2 + b^2
c = 11^2 + 8^2 = 121 + 64 = 185 = 13.6
13.6 isn’t one of the answers so we can’t pick 11 & 8. Let’s try 11 & 15:
c = 15^2 + 11^2 = 225 + 121 = 346 = 18.6
18.6 isn’t one of the answers either. Let’s try 15 & 60:
c = 60^2 + 15^2 = 3600 + 225 = 3825 = 61.85
61.85 might be it but let’s try one more just in case:
c = 60^2 + 61^2 = 3600 + 3721 = 7321 = 85.6
Nope! That means 15, 60, and 61 are the answer. I hope this is correct!