Answer:
equation y =7/4x+1
slope = 7/4
Step-by-step explanation:
We have two points so we can find the slope
m =(y2-y1)/ (x2-x1)
= (4--3)/(2--2)
= (4+3) / (2+2)
= 7/4
We know the slope and the y intercept
We can write the equation using y = mx+b where m is the slope and b is the y intercept
y= 7/4x +1
We put at dot at (0,1) and then go up 7 and to the right 4 . We put another dot
Connect the dots and we have our line.
We could also put dots at (-2,-3) and (2,4) and connect the dots.
Answer:
133.33g
Step-by-step explanation:
Let the:
Mass of 1.2g/cm³ of liquid = x
Mass of 1.8g/cm³ of liquid = y
From our Question above, our system of equations is given as:
x + y = 400........ Equation 1
x = 400 - y
1.2 × x + 1.8 × y = 1.6 × 400
1.2x + 1.8y = 640..... Equation 2
We substitute, 400 - y for x in Equation 2
1.2(400 - y) + 1.8y = 640
480 - 1.2y + 1.8y = 640
- 1.2y + 1.8y = 640 - 480
0.6y = 160
y = 160/0.6y
y = 266.67 g
Solving for x
x = 400 - y
x = 400 - 266.67g
x = 133.33g
Therefore, the mass of the liquid of density 1.2g/cm³ is 133.33g
Answer:
The answer is 3.2 E 3 or 3.2 x 10^3
You move back 3 spaces which is 3.2, since you moved back 3 spaces, you put 3 as the power/exponet.
To be more satisfied, 3.2 is your base number, it is the big number Below the power/exponent. The power/exponent is 3, you moved 3 spaces and you moved to the left, so it is represented as a positive power/exponent.
Hope this helps.
Answer:
2304
Step-by-step explanation:
<u>Given :- </u>
- A geometric sequence is given to us which is 9 , -18 , 36.
And we need to find out the 9th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .
<u>Common Ratio :- </u>
CR = -18÷ 9 = -2
<u>The </u><u>9</u><u> th term :- </u>
T_n = arⁿ - ¹
T_9 = 9× (-2) ⁹ - ¹
T_9 = 9 × (-2)⁸
T_9 = 9 × 256
T_9 = 2304
<u>Hence the 10th term is </u><u>2</u><u>3</u><u>0</u><u>4</u><u>.</u>
