Other numbers will have to be 1, 2, and 4 because they are all factors of 8.
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
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (2,-1) and (4,5),
y2 = 5
y1 = - 1
x2 = 4
x1 = 2
Slope,m = (5 - - 1)/(4 - 2) = 6/2 = 3
To determine the intercept, we would substitute x = 4, y = 5 and m= 3 into y = mx + c. It becomes
5 = 3 × 4 + c
c = 5 - 12 = - 7
The equation becomes
y = 3x - 7
Answer:
Answer to the 1st question is: 16/9 or 16:9 (whichever form you use)
Answer to the 2nd question is: 7/9 or 7:9
Step-by-step explanation:
<u>Key skills needed: Number theory, Ratios, and Fractions</u>
1) Let's look at the first question. A ratio is usually a number of something over a number of another thing. One such example is 5 apples : 4 oranges (or 5 apples/ 4 oranges - whichever form you write in).
- Based on that let's look at the first problem. We want to find the ratio of all the marbles in the bag to the blue marbles. So it would be --> the total # of marbles over the number of blue marbles.
- The total number of marbles is 7+9= 16. This would be our <u>first number, or the numerator. </u>
- The number of blue marbles is 9. This would be our <u>2nd number, or the denominator of the ratio.</u>
- With this information --> The ratio would be 16/9 or 16:9
2) Now let's look at the 2nd question. The number of red marbles to the number of blue marbles is the ratio we need to find.
- The number of red marbles is 7. This would be our first number or the numerator.
- The number of blue marbles is 9. This would be our second number or the denominator.
- Therefore, the ratio would be --> 7/9 or 7:9
<em>Hope you understood and have a nice day!! :D</em>
-10a and -8a are like terms, but -3ab is not equivalent. With the two a terms, we have:
-10a-8a
a(-10-8)
-18a
We then add in the other term (-3ab) for a final result of -3ab+-18a. This can be factored alternatively as -3a(b+6).
Answer:
<B=<D
Step-by-step explanation:
This is becasue angle B is 90 degrees while angle D is 29 degrees.
