Answer:
Jake is 9, and Jake's dad is 43.
Step-by-step explanation:
Ok, let's start off by putting a variable for Jack's age, A.
We know that Jack's father is 2 less than 5 times, so we can write his as 5x -2.
Now let's make an equation:
52 = x + 5x - 2
We need to isolate the x-values so we need to add 2 on both sides:
54= x + 5x
No we need to add the like terms:
54 = 6x
Finally, we just divide by 6 on each side.
Now we know X = 9 but we're not done yet :)
So because Jake's dad is almost 5 times as much, we first multiply Jack's age by 5. We get 45 but we need to subtract 2 which leaves us with 43.
Answer:
Option C: y=-1/2x + 8
Step-by-step explanation:
So we have the options:
A) y=2x+5
B) y=-1/2x+4
C)y=-1/2x+8
D)y=-2x+5
But first let's define what parallel even is. When two lines are parallel it means that there slope is the same value and the same sign, while there y-intercepts are different, because if they were the same, then they wouldn't be parallel, they would just be the same exact line.
So we're given the equation in standard form. To find the slope we can change it so it's in the form of y=mx+b. This can be done by simply isolating y. The reason we want it in the slope-intercept form is because m represents the slope and b represents the y-intercept. m is the slope because as x increases by 1 the y-value will increase by m. So the "rise" will be m and the "run" will be 1, thus the slope will be m/1 or in other words m because the slope is defined as rise/run. So let's start the steps to isolating y
Original equation
2x+4y=16
Subtract 2x from both sides
4y=-2x+16
Divide both sides by 4
y = -1/2x + 4
Here we have it in slope-intercept form. In this case the slope, or m, is -1/2 and the y-intercept or b is 4. So now let's look at the other equations.
Option A: This equation has a slope of 2, which is not the same as -1/2 so it is not parallel
Option B: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. But look at the y-intercept it's 4, that's the same y-intercept as the original equation. This means the two equations are equal and not parallel
Option C: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. It has a y-intercept of 8 which is not the same as 4, so the two lines are parallel and not equal! This is the answer
The answer will be similar as 7x20=140 and 7x2000=14000, the answers are the same but x100 as 140x100=14000
20x100=2000
Answer:
x=6.09cm
Step-by-step explanation:
Working out AB:
7.5²+4.9²
= √80.26
AB= 8.96cm
To work out x:
AB is the opposite, where BC is the adjacent. This means that we have to use TOA.
x=8.96/Tan(55.8)
x= 6.09cm
Answer:
A
Step-by-step explanation:
x^2 + 7x+ 10. factors out to (x - 2)(x + 5)
