Answer:
y = 1/4x + 7
Step-by-step explanation:
(-4, 6) and (0, 7)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(7 - 6) / (0 - (-4))
Simplify the parentheses.
= (1) / (0 + 4)
= (1) / (4)
Simplify the fraction.
= 1/4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 1/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 7). Plug in the x and y values into the x and y of the standard equation.
7 = 1/4(0) + b
To find b, multiply the slope and the input of x(0)
7 = 0 + b
Now, isolate b.
7 = b
Plug this into your standard equation.
y = 1/4x + 7
This is your equation.
Check this by plugging in the other point you have not checked yet (-4, 6).
y = 1/4x + 7
6 = 1/4(-4) + 7
6 = -1 + 7
6 = 6
Your equation is correct.
Hope this helps!
Answer:
90
Step-by-step explanation:
For each separate year Ramon grew 45 inches. They want to know how many inches he grew in two years. So you could find this two ways, either multiply 45 x 2 or add 45+45 and get the same answer, 90.
Answer:
17.3
Step-by-step explanation:
To solve this equation, you need to use the pythagorean theorem which is:
a= length
b= height
c= hypotenuse
First, substitute in your values for the equation:
Then, use the squares in the equation:
Then, subtract 100 from both sides to isolate b:
Finally, square root both sides to get your answer:
Then round to the nearest tenth which gives you 17.3.
Answer:
45 55 60
Step-by-step explanation:
45% 55 0.6
Answer:
Procedures:
1.) The GCF of a number is the greatest factor/number that you can divide from all the numbers.
2.) The GCF of an exponent is the least value.
ANSWER: 12a² and 38a⁴b²
GCF = 2a²
Factored Form = 2a²(3+19a²b²)