9514 1404 393
Answer:
x = 31
Step-by-step explanation:
The sum of angles in a triangle is 180°.
98° +51° +x° = 180°
x° = 31° . . . . . . . . . . . . subtract 149°
x = 31
The <u>correct answer</u> is C) yes, the answer is written in scientific notation.
Explanation:
In scientific notation, we have a decimal number multiplied by a power of 10. The decimal number has the decimal point behind the first non-zero digit, and the exponent on the power of 10 tells us how many places to move the decimal.
In this problem, we have 5.6, which has the decimal after the first non-zero digit. We also have 10¹², which tells us to move the decimal 12 places.
This is in scientific notation.
First we rewrite the table:
20 30
50 75
80 120
150 ?
We observe that for each 30 number of hops, the distance increases by 45 feet.
We must find the slope of the line:
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5 * (150)
y = 225
Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
Okay, so the equation for the y-intercept is y=mx+b, this will be your base for graphing anything.
For y = x + 3 it's basically y = 1x + 3. Use b as the y-intercept, or 3, and plot it as (x,y), (0,3). Then use m as the slope, or 1. 1 means positive one so the point goes (0,3), (1, 4), (2, 5).
For y = -3x - 1 it's the same thing but different numbers. Use b, the y-intercept, and plot it. -1 is b, so plot (0,-1). Then use the slope to go up or down the direction you need to go, or m. m is -3, so for every +1 in x, the y will decrease by 3. (0,-1), (0,-4), (0,-7).
I hope this helped in some way or increased your understanding!
In form ax + b = c: 2x - 8.4 = 5
Solution to equation: x = 6.7
Step-by-step explanation:
4x - 8.4 = 2x + 5
2x - 8.4 = 5
2x = 13.4
x = 6.7
