Answer:
Step-by-step explanation:
5. A straight line (view that attached graph)
6. y = x² + (-3) is equivalent to y = x² - 3
0:
y = x² - 3
y = 0² - 3
y = 0 - 3
y = -3
(0, -3)
1:
y = x² - 3
y = 1² - 3
y = 1
y = -2
(1, -2)
2:
y = x² - 3
y = 2² - 3
y = 4 - 3
y = 1
(2, 1)
3:
y = x² - 3
y = 3² - 3
y = 9 - 3
y = 6
(3, 6)
So the answers are: -3, -2, 1, 6
Hope this helps!
Answer:
The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar
Step-by-step explanation:
we know that
If two figures are similar, then their corresponding angles are congruent and their corresponding sides are proportional. The ratio of its corresponding sides is called the scale factor
An dilatation is a transformation that does not modify the internal angles of the figure or the proportion of its measurements.
In this problem ΔABC and ΔA′B′C′ are similar
therefore
The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar
I thought this would be simple, as I'm familiar with algebra and not really "The constant of proportionality," but I will do my best.
So this said "Constant of proportionality," is referring to basically the answers for the equation when X equals certain numbers.
Make a table of different answers when you plug in X and you get the 'Constant of proportionality.'
y = 2.5x + 3
y = 2.5(1) + 3
y = 2.5 + 3
y = 5.5
Since we plugged in 1 for X and got 5.5 for Y, our input and output is (1, 5.5)
Replace X for a different value, and you will get a bunch of different numbers that will in essence be your function inputs and outputs. Make a table of these and you have your answer.
EXAMPLE -
-= x =- -= y =-
-= 1 =- -= 5.5 =-
-= 2 =- -= 8 =-
-= 3 =- -= 11.5 =-
-= 4 =- -= 13 =-
So there you have it. I hope this helps! If you have any further questions, don't hesitate to ask.
Answer:
I worked really hard on this problem, I had to manually edit with my editing tool for 15 minutes lol.
Answer:
STEP
1
:
Equation at the end of step 1
4x • (2x - 5) = 0
STEP
2
:
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.