Just for an example, lets say you'd have to solve 35 ÷ 7.
First, the first number always goes inside the┌ (I'll call it "the house") The first number, of course, is 35 in this case.
Second, the second number goes on the outside of "the house" on the left. Of course, the 7 is the second number in this case.
Third, now that you've set up the problem, now you can solve it!
Compare the number on the outside of the house to the first digit on the inside of the house. In this case, that's 7 and 3. Since 7 doesn't go into 3, you move on to the next number that's inside the house, 5. In other words, now you're comparing 7 to 35.
7 goes into 35 5 times, so now you'd put a 5 on top of the house above the 5 in 35!
35 ÷ 7 = 5!
• I hope this was helpful! Sorry it was long, but I was just trying to thoroughly explain it! •
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
m = slope
The equation of the given line is
3x+y=10
y = - 3x + c
Comparing it with the slope intercept equation, slope, m = -3
If a line is parallel to another line, the slope of the line is the same with the slope of the given line. This means that the slope of the line passing through the point (-2,4) is -3
We would determine the intercept, c by substituting m = -3, x = -2 and y = 4 into y = mx + c. It becomes
4 = -3 × -2 + c
4 = 6 + c
c = 4 - 6 = - 2
The equation becomes
y = - 3x + - 2
Monthly cost
=5000+(35+22)q
=5000+57q
where q=number of widgets produced per month.
Answer:
b)0, yes
Step-by-step explanation:
Given:
Vectors (4,8) . (6,-3)
Finding inner product of vectors:
= 4x6 + 8x-3
=24-24
=0
Now to check the angle between them using formula a.b=|a|.|b|cosθ
|a|=
=8.9
|b|=
=6.7
Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,
0= 8.9(6.7)cosθ
cosθ =0
θ=90 degrees
Hence the two vectors are perpendicular !
Y = -x2 + 5x + 36 <span>→ y = -(x2 -5x -36)
</span><span>→ y = -(x2 - 9x +4x - 36)
</span><span>→ y = -[x(x-9) + 4(x - 9)]
</span><span>→ y = -(x - 9)(x + 4)
Your answer would be </span>y=-(x-9)(x+4).