Answer:
11
Step-by-step explanation:
f(x) = x^2 - 3x + 1
f(-2) = (-2)^(2)-3(-2)+1
f(-2) = 4 + 6 + 1
f(-2) = 11
Just substiute -2 for x and sove.
Answer: A = ≈28.55 cm²
Step-by-step explanation:
It is drawn as if it should be a triangle minus a rectangle with an area of
½(10)(13) - (7)(6) = 23 cm²
However it is not to scale.
The angle on the right side is
θ = arctan10/13 = 37.56859...°
Meaning the right triangle has a height of
h = 4tan37.56859 = 3.07692 cm
So the right triangle has an area of
Ar = ½(3.07692)(4) = 6.15384... cm²
The left hand side consists of a triangle over a rectangle
The height of the triangle is 4, the base is is 4/tan37.56859 = 5.2 cm
so the left area is
(2)(6) + ½(5.2)(4) = 22.4 cm²
So the sum of the areas of the two enclosed shapes is
A = 22.4 + 6.15384... = 28.55384... ≈28.55 cm²
One way to determine the scale factor of a dilation is if you are using a graph then you can pick two corresponding points of the before and after and divide them and you can get the scale factor.
The second one is true because if you have 2 angle measures then you can automatically find the third because we know that all the angles of a triangle add up to 180 so lets say that one angle is 94 degrees and another is 38 degrees we would add those two up to get 132 and then we would subtract that from 180 to get the third angle which would be 48 degrees.
The third one, vertical angles have a common vertex, but they are never adjacent angles. Also, vertical angles are always congruent.
Answer:
-4
Step-by-step explanation:
Let us rearrange this equation by dividing both sides by (-3):
y=-4x-2
And since the equation of a line is y=mx+b, where slope=m,
then the slope of our line is -4
<em>I hope this helps! :)</em>
