Answer:
5) Slope(m): 2
y-intercept(b): (0, 4)
6) Slope(m): -1
y-intercept (b): (0, -6)
7) Slope(m): 5
y-intercept (b): (0, 8)
8) Slope(m): 7
y-intercept (b): (0, 1/2)
Step-by-step explanation:
in order to find the slope and y-intercept you need to rewrite the equation in y=mx+b.
in 5, the equation is -2x+y=4. we need to add 2x to both sides to get y=2x+4. now you can find your slope (2) and your y-intercept point (0, 4)
in 6, the equation is x+y=6. we need to subtract x from to both sides so we get y=-x+6. you would get a slope of -1 and a y-intercept point of (0, 6)
in 7, the equation is -5x=8-y. we need to add 5x to both sides to get 0=8-y+5x. then add y to both sides so we get the equation y=5x+8. you have a slope of 5 and a y-intercept point of (0, 8)
in 8, the equation 0=1-2y+14x. we need to add 2y to both sides and we get 2y=14x+1. since we need y to stand alone we need to divide both sides by 2. now we have y=7x+1/2. the slope is 7 and the y-intercept point is (0, 1/2)
Hope this helps!! :)
Answer:
6 tulips
Step-by-step explanation:
First, we have to simply the ratio. The ratio for pansies to tulips would be 15:18, then simplifying it would make it 5:6 because the common factor is 3. 15 divided by 3 is 5 and 18 divided by 3 is 6. If you add 5 more pansies, it would equal 20 in total. Add 6 tulips because 6 plus 18 is 24. 20 divided by 4 is 5 and 24 divided by 4 is 6. That gives us a ratio of 5:6, which is the same from before. Therefore, you should add 6 tulips if 5 more pansies were added.
Answer:
The numbers are 24, 16 and 48
Step-by-step explanation:
For this equation you need to use all the information you have to add in 3 variables, use the information you have to connect them, so you only use one number. You’ll have the second number (x), the first number (x+8) and the third number (3x) now we use all of that to make an equation.
88=x+(x+8)+3x
Now you simplify the equation,
88=5x+8
Now get the x and it’s coefficient alone on one side
80=5x
Now divide both sides so the x is alone
x=16
Since the second number was x you know the second number
the first number is x+8 since x is 16 the first number is 24
The third number is 3 * x so the third number is 48.
So the numbers are 24, 16 and 48
There's an identity
sec^2 x = 1 + tan^2 x
so here we have
sec^2 theta = 1 + (3/8)^2 = 73/64
sec theta = sqrt 73 / 8 or 1.068 to nearest thousandth
Solve for <span>x </span>by simplifying both sides of the equation, then isolating the variable.<span>x=4</span>