Answer:
y = 2*x + 4
Step-by-step explanation:
We know that a linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
So, here we know that our line must pass through the points (-2,0) and (0, 4)
Then the slope of this line is:
a = (4 - 0)/(0 - (-2))
a = 4/2 = 2
Then our line is something like:
y = 2*x + b
Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.
0 = 2*(-2) + b
0 = -4 + b
4 = b
Then the equation for our line is:
y = 2*x + 4
Answer:
p + 45 < 89
Step-by-step explanation:
The sum of something is the result of addition so you know that they are adding p and 45 together. They then state that p plus 45 must be less than 89. You can show that by using the less than symbol "<"
If you want to find all of the different values that P could equal then all you have to do is subtract 45 from both sides so the equation would be
p < 44
this means that p can equal anything less than 44 for this statement to be valid. Hope this helped!
Step-by-step explanation:
v=s^3 s=3^4=81
v=(81)^3
v=531,441 cm^3
Answer:
B. of the AAS congruence theorem.
Step-by-step explanation:
Triangles TSR and QRS share side SR
SR=RS
Angle TSR and Angle QRS are right angles, so
∠S= ∠R
Angle T Is-congruent-to Angle Q, so
∠T= ∠Q
From these data, we have one congruent side and two congruent angles. The possible congruence theorem that we can apply will be either ASA or AAS. In the ASA theorem, the congruence side must be between the two congruent angles.
The congruence side required for the ASA theorem for this triangle is ST = RQ. It is wrong because the congruent side we have is SR=RS. The correct option is the AAS theorem.
Answer:
8(6 +5) = 4(12 +10) = 2(24 +20)
Step-by-step explanation:
There are several common factors of 48 and 40. Any of them can be used for the purpose.
48 +40
= 2(24 +20)
= 4(12 +10)
= 8(6 +5)
