The perimeter = 20 and AC = 8
Now as it is not mentioned which sides are equal of the isosceles triangle ABC,
We have two possible situations.
1)
If AC is the base
In that case AB = BC
Now AC = 8, AB = x , BC = x
So x + x + 8 = 20
2x + 8 = 20
2x = 12
x = 6
AB = BC = 6
2)
IF AC is not the base,
Then
AC = BC or AC = AB
So BC = 8 or AB = 8
If AB = AC = 8
Then
BC + 8 + 8 = 20
BC = 4
So there are two possible lengths of BC
Either it is BC = 8 or BC = 6 or BC = 4
The figure is attached for your reference.
So, in order to solve this problem, I will set up an equation. First, let's make x= the # of hours it takes Mr. Itol to complete a computer task, and since his assistant takes twice as long, lets make 2x=the # of hours it takes the assistant to complete the task. We also know that it takes the two of them 6 hours to complete the task together. We can now set up the following equation:
Now, in order to be able to solve this, we have to find the least common denominator, and then we can cancel out the denominators to solve for the top part. The LCD=6x and the new equation becomes:
Now, we can get rid of the denominators, and we get:
So, x= 9
Now we know that Mr. Itol would take 9 hours to complete the task if he were to do it himself. To find how long it would take his assistant to complete the same task by himself, we just need to plug in the x-value into 2x:
Therefore, your answer is that Mr. Itol would take 9 hours to do the job alone, while his assistant will take 18 hours (double the time) to do the job alone.
Hope this helps :)
I believe George will have 249.75 dollars.
If he earns 9.5% annually, you would have to multiple .095 which is 9.5% by 150 to get 14.25. Once you have that you need to multiply it by 7 for the 7 years that it’s in the account to get 99.75, next add that to 150 to get the answer
150 x .095 = 14.25
14.25 x 7 = 99.75
99.75 + 150 = 249.75
Hope it’s helpful:/
Answer:
Answer is D.
Step-by-step explanation:
Which is not true?
So, lets assess the answers given to the question.
A. It is the equation of a horizontal line.
Yes, it is. Since there is only one y - value which is y = -4, we can confirm this is the y intercept, so therefore the x value is zero. But it's not the answer we're looking for.
B. It's slope is zero, yes the slope is zero. It only lists the y-intercept which confirms that the slope is 0.
C. Yes, I mean i can't really explain how. Just use desmos calculator, the graph is exactly perpendicular.
D. The line actually does cross the x-axis, -4 is the y intercept and the x value is 0, and zero is still a point. So D is the one which isn't correct making it the correct answer.