Answer:
x-intercept: (6,0)
y-intercept: (0,4)
Step-by-step explanation:
The x-intercepts lay on the x-axis and therefore their y-coordinate is 0.
To find the x-intercept, you set y to 0 and solve for x.
2x+3y=12
Set y=0.
2x+3(0)=12
2x+0 =12
2x =12
Divide both sides by 2:
x =12/2
x =6
The x-intercept is (x,y)=(6,0).
The y-intercepts lay on the y-axis and therefore their x-coordinate is 0.
To find the y-intercept, you set x to 0 solve for y.
2x+3y=12
2(0)+3y=12
0+3y =12
3y =12
Divide both sides by 3:
y =12/3
y =4
The y-intercept is (0,4).
Answer:
f(-3) = 11
Step-by-step explanation:
To evaluate f(-3), substitute x = - 3 into f(x)
⇒
f
(
−
3
) = (
−
3
)^
2 − 3
(
−
3
) − 7
=
9
+
9
−
7
=
11
hope this helps
sorry if wrong
#Virgo2007
Answer:
45 in²
Step-by-step explanation:
Since it's a 45-45-90 triangle, the legs are equal length. The legs are the sides that are not the hypotenuse. The hypotenuse is the side opposite the 90° angle. Here, the legs are both 6. This is also the height of the parallelogram.
The formula for area of a parallelogram is
A = LH where L is the side length, and H is the height
So the area is
A = 7.5(6) = 45 in²
Answer:
It is not a right triangle.
Step-by-step explanation:
We can prove this by Pythagorean theorem because it represents to a right triangle.
Pythagorean theorem:
a² + b² = c²
Now substitute the values.
Note: the longest side will represent c
So,
a = 10 m
b = 16 m
c = 20 m
10² + 16² = 20²
The objective here is to make them equal.
100 + 256 = 400
356 ≠ 400
They are not equal so it is not considered a right triangle.
Answer:
16
Step-by-step explanation:
3x - 4 = 
(10x - 72)
⇔ 6x - 8 = 10x - 72
⇔ 4x = 64
⇔ x = 16
