Answer:
The answer is below
Step-by-step explanation:
A linear function graph can be represented by:
y = mx + b; where m is the slope and b is the y intercept, x is the independent variable and y is the dependent variable.
a) From the graph we can see the graph passes through the point (0, 100) and (20, 400). Hence we can use the following formula to find the equation:
b) An example of real life linear function is the energy consumed per day in kWh. Let us assume 5 kWh is consumed each day by the person. Since the independent variable is the days, it would be on the x axis, while the dependent variable (energy consumed) would be on the y axis.
X goes by 1s
And y goes by 3s
<h3>
Answer: C) 136 degrees</h3>
The known acute angle of the triangle is 46 degrees, so the unknown acute angle of that triangle is 90-46 = 44 degrees. In other words, the two acute angles of any right triangle must add to 90, so 46+44 = 90.
The 44 degree angle is adjacent to angle ADC, and it adds to angle ADC to form 180 degrees.
If x is the measure of angle ADC, then
44+(angleADC) = 180
44+x = 180
x = 180-44
x = 136
angle ADC = 136 degrees
For any parallelogram, the opposite angles are always congruent. Therefore, angle ABC is equal to angle ADC = 136, making ABC = 136 as well.
- Multiply (-2x-4) by -5:
[(-5)(-2x) + (-5)(-4)] +5x - 4 = -29
= 10x+20+5x-4=-29
- Combine Like Terms:
(10x+5x) + (20-4) = -29
15x+16=-29
- Subtract 16 from each side
15x+16 -16 = -29 -16
15x = -45
x = -3
Answer:
(2,-1)
Step-by-step explanation:
Multiply everything by 1/3:
6*1/3=2
-3*1/3=-1
This makes it smaller, so you know what the dilation is.
