ANSWER
y = x + 7
EXPLANATION
We want to use the two points to form a linear equation in slope-intercept form.
That is in the form:
y = mx + c
To do this, we first find the slope by using formula:
where (x1, y1) = (3, 10)
(x2, y2) = (6, 13)
So, we have that:
The slope, m, is 1.
Now, we use the point-slope formula to find the equation. That is:
That is the answer.
10a. y= 35x + 60
10b. $165
Answer:
Step-by-step explanation:
Given
Parabola has x-intercept has 
and 
and Y-intercept as 
Now the general equation of parabola is
Substitute in 
we get
Now substitute in equation
Now substitute in equation
Solving 
and 
we get
therefore
Answer:
The answer is
<h2>376 cm²</h2>
Step-by-step explanation:
Since the rectangular box is a cuboid,
Total surface area of a cuboid is given by
<h3>2( lw + wh + lh)</h3>
Where
l is the length
w is the width
h is the height
From the question
l = 10 cm
w = 8cm
h = 6cm
Substitute the values into the above formula
That's
Total surface area of the rectangular box is
2 [ (10)(8) + (8)(6) + (10)(6) ]
2 [ 80 + 48 + 60 ]
2( 188)
We have the final answer as
<h3>Total surface area = 376 cm²</h3>
Hope this helps you
Answer:
x^2 + 18x + 76 + 5 = 0 + 5
Step-by-step explanation:
The first step is to determine the constant that is needed to be able to write the expression in the desired form. That constant is the square of half the x-term coefficient: (18/2)^2 = 9^2 = 81.
The constant that is present is 76, which is 5 fewer than the needed constant, so the "first step" is to add 5 to both sides of the equation:
x^2 + 18x + 76 + 5 = 0 + 5
Then the next step would be to write the left side as a square:
(x +9)^2 = 5 . . . . . . . p = -9; q= 5
