Answer:
f(x) = x
Step-by-step explanation:
note : slope is positive 1, so the x term must be positive
also note the graph intersects the curve at y = 0, which means that they y-intercept is zero .
if we substitute this into the general equation for a line
y = mx + b, where m = +1 and b = 0,
we get y = x
or f(x) = x (in function form)
In the linear equation y = mx + b, y-intercept represents the value of y. It is the point where the line crosses the y-axis(vertical axis)
Finding the y-intercept is done by looking at which point in the graph crosses the y-axis. This point will always have an x-coordinate of zero(0).
Answer:
The perimeter of the p triangle = 38.4 cm
Step-by-step explanation:
Given
The perimeter of a triangle z be = 48 cm
The triangle is dilated by a scale factor of 0.8
To determine
What is the perimeter of the triangle after it is dilated by a scale factor of 0.8?
- As the scale factor < 1, it means the new perimeter will be reduced.
The new perimeter of the triangle p can be calculated by multiplying the perimeter of the original triangle z by 0.8
i.e.
Perimeter of triangle p = 48 × 0.8 = 38.4 cm
Therefore, the perimeter of the triangle p is = 38.4 cm
Answer:
114
Step-by-step explanation:
Since DE and EF are equal, DEF is an isosceles triangles.
In isosceles triangle, two angles are equal.
So,
∠F = ∠D = 33
Sum of interior angles in a triangles is 180,
∠D + ∠F + ∠E = 180
33 + 33 + ∠E = 180
∠E = 180 - 33 - 33
∠E = 114
Answer:
Chips = 14
Pretzel = 14
Cookie = 8
Popcorn = 13
Question Mark = 222
Step-by-step explanation:
First Equation:
Chips + Pretzel + Chips = 42
Third Equation: Chips = Pretzel.
This means that
Pretzel + Pretzel + Pretzel = 42
Pretzel = 
Chips = Pretzel
Chips = 
Second Equation:
Cookie + Chips + Cookie = 30
We know that Chips = 14.
Cookie + 14 + Cookie = 30
Subtract 14 on both sides:
Cookie + Cookie = 16
Cookie = 
.
Fourth Equation:
Cookie + Cookie + Popcorn = 29
We know that Cookie = 8.
8 + 8 + Popcorn = 29
16 + Popcorn = 29
Subtract 16 on both sides:
Popcorn = 13.
Question Mark:
(Popcorn + Popcorn) 
Cookie + Chips = (13 + 13) 8 + 14 = 26 8 + 14 = 
