Point form: (1,-1)
equation form: x = 1, y = -1
(1)
10(1+3x)=-20
Cross multiply.
10+30x=-20
Isolate x on one side. So you would subtract 10 on each side. and one side will cross each other out. leaving you with,
30x=-20-10
Subtract 10 from -20.
30x=-30
Divide each side by 30 to get x.
30x÷30=-30÷30
Therefore,
x=-1
(2)
-5x-8(1+7x)=-8
Cross multiply -8(1+7x)
-5x-8-56x=-8
Isolate all x's on one side. So you would add 8 on each side. and one side will cross each other out. leaving you with,
-5x-56x=-8+8
Add 8 to -8.
-5x-56x=0
Subtract -56x from -5x
-61x=0
Divide each side by -61
-61x÷-61=0÷-61
Therefore,
x=0
Answer:
the distance
Step-by-step explanation:
More time care travels, more distance it goes. So distance depends of the time.
Each division set gives the outcome of the operation 1.45 ÷ 5 which is 0.29.
- The number of hundredths in each division set is <u>D. 9</u>
Reasons:
The given Hunter's model consists of the following
One 10 × 10 number block
Four sets of a column of 10 cubes
Five individual cube pieces
Therefore;
In 1.45, we have;
1 unit
4 tenths
5 hundredths
Which gives;
Each single cube can be used to represent a hundredth in 0.05
One cube = 0.01
Each set of 10 cubes represents a tenth in 0.4
Each block of 10 by 10 can be used to represent the unit; 1
Dividing each of the 10 × 10 can be divided to sets of 20 blocks with a value of 0.2 each
The 4 sets of 10s can be divided by 5 to give sets of 8 with a value of 0.08
The 5 cubes divided 5 gives five cubes with each cube having a value of 0.01.
Therefore;
The value of each division set is 0.2 + 0.08 + 0.01 = 0.29
The number of hundredths in 0.29 = 9
The number of hundredths in each division set is therefore; <u>D. 9</u>
Learn more about number place value here:
brainly.com/question/184672
Answer:
general rule Un=1.8n-21
U100=1.8(100)-21=159
Step-by-step explanation:
a5=a+4d, a5=-12
a10=a+9d, a10=-3
-12=a+4d
-3=a+9d subtract the system of equations
-9=-5d solve for d
d=1.8
substitute d into first equation to find a
-12=a+4(1.8)
a=-19.2
un. = a + (n − 1)d
Un=-19.2+(n-1)(1.8)
Un=1.8n-21
