9514 1404 393
Answer:
1/7
Step-by-step explanation:
The slope formula is useful for this.
m = (y2 -y1)/(x2 -x1)
m = (4 -3)/(4 -(-3)) = 1/7
The gradient of the line segment is 1/7.
X= (-7,12)
Y= (7,-9)
The distance between the x points is 14 units
we want a ratio of 3 to 4
for every 3 on one side there are 4 on the other for 7 total
6 to 8 = 14
so 6 on one side 8 on the other
so 6 units on the left starting at -7
-7 + 6 = -1
same with y
12 to -9 is 21 units
3 to 4 = 7
6 to 8 =14
9 to 12 = 21
so 9 unit from the top
12-9 = 3
(-1,3)
Choice A
Answer:
30 and 20 respectively
Step-by-step explanation:
Let the number of sofas to be built be s and the number of recliners be r.
For the time part, we have the following equation:
8s + 6r = 340
For the money part:
180s + 105r = 6750
Now let’s solve these equations simultaneously.
Let’s change the form of the second equation:
180s + 17.5(6r) = 6750
From the first equation, 6r = 340 - 8s
Insert this into the third equation
180s + 17.5(340-8s) = 6750
180s + 5950 - 140s = 6750
40s = 6750 - 5950
40s = 800
s = 20
Substitute the value into the first equation
8(20) + 6r = 340
6r + 160 = 340
6r = 180
r = 30
Answer:
A
Step-by-step explanation:
You should approach this problem by plugging the answer choices into the equation, since there are only four that you need to do. A works because 8-8 = -7(-1+1) which are both equal to 0
Answer:
D
Step-by-step explanation:
The unmarked angle of the triangle is also 40o. The triangle is marked with two equal sides (isosceles).
<2 + 40 + 40 = 180 Combine the left
<2 + 80 = 180 Subtract 80 from both sides
<2 = 180 - 80
<2 = 100 degrees.
That's not the answer. We have to solve for x
<2 = x + 106
100 = x + 106 Subtract 106 from both sides
100 - 106 = x
x = - 6
