Y=2/5+3; u gotta find two points, count the rise over run and find the y-intercept
You're going to use cross multiplication.
1 gal x 21 miles = 25miles x x
21 miles = 25x
Divide each side by 25 to get x alone
21/25 = 0.84, which is your x value.
These are not the exact numbers but just plug in the numbers of yours Because we know that q is a perpendicular line to p we know that its slope is the negative reciprocal of the slope of p. So its slope is 7/10. Now we just need to find its y-intercept. To do that we write what we know about line q. So we know that the equation for line q looks like:
y = (7/10)x + b
We also know that q passes through the point (8,7), so we now plug that in and solve for b:
7 = (7/10)(8) + b
7 - (56/10) = b
(70/10) - (56/10) = b
14/10 = 7/5 = b
So now that we have solved for the y-intercept, we know that the equation for line q is:
y = (7/10)x + 7/5
Step-by-step explanation:
3a²-7a−6
Factor the expression by grouping. First, the expression needs to be rewritten as 3a
2
+pa+qa−6. To find p and q, set up a system to be solved.
p+q=−7
pq=3(−6)=−18
Since pq is negative, p and q have the opposite signs. Since p+q is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product −18.
1,−18
2,−9
3,−6
Calculate the sum for each pair.
1−18=−17
2−9=−7
3−6=−3
The solution is the pair that gives sum −7.
p=−9
q=2
Rewrite 3a
2−7a−6 as (3a
2−9a)+(2a−6).
(3a 2−9a)+(2a−6)
Factor out 3a in the first and 2 in the second group.
3a(a−3)+2(a−3)
Factor out common term a−3 by using distributive property.
(a−3)(3a+2)
Answer:
<em>Part A: 3,</em>
<em>Part B: - 4</em>
Step-by-step explanation:
<em>~ Part A ~ </em>
The problem would be in terms of such an expression: ( - 6 - ( - 3 )^2 )/ -5
Now knowing the expression, let us simplify in terms of basic algebra:
( -6 - 9 )/ -5 = ( - 15/ - 5 ) = <em>Answer; 3</em>
<em>~ Part B ~ </em>
We know the problem to be p^2/ r, but we must substitute the value of p being -10, and r ⇒ -25: ( - 10 )^2/ -25
Now let us simplify the expressions:
( - 10 )^2/ -25 = 100/ - 25 =<em> Answer; -4</em>
