Answer:
x=8
Step-by-step explanation:
-5(x-3)=-25
Divide each side by -5
-5/-5(x-3)=-25/-5
x-3 = 5
Add 3 to each side
x-3+3 = 5+3
x = 8
Answer:
Option A) They are parallel because their slopes are equal.
Step-by-step explanation:
We are given the following in the question:
Line AB:
(-4, -2), (4,4)
Line CD:
(0,-3), (4,0)
Formula to calculate slope =
Slope of AB =
Slope of CD =
Thus,
Thus, the two lines are parallel.
Option A) They are parallel because their slopes are equal.
250cm^2
To find the area of shape B we need to find the factor by which you multiply to get from 12 to 15. To find this we divide 15 by 12 to get 1.25. We now multiply the area of shape A (200) by the factor 1.25 to get the answer. The answer is 250cm^2.
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Consider this option (this is not the only way):
1. according to the condition 2345N is divisible by <em>6</em>, it means, that N is even number (0;2;4;6 or 8).
2. <em>6</em>=3*2, then the number 2345N is divisible by 3 also. It means, that the number (2+3+4+5+N)=(14+N) is divisible by 3, where N={0|2|4|6|8}.
3. using items 1 and 2:
(14+4)=18; only 18 is divided by 3, it means that N=4.
answer: 4.
Note also, that only 23451; 23454 and 23457 are divided by 3. Only 2345<u>4</u> is divided by 6 (2345<u>4</u>/6=3909).
Answer:
<em>A.</em>
<em>The student made an error in step 3 because a is positive in Quadrant IV; therefore, </em>
<em />
Step-by-step explanation:
Given
Required
Where and which error did the student make
Given that the angle is in the 4th quadrant;
The value of r is positive, a is positive but b is negative;
Hence;
Since a belongs to the x axis and b belongs to the y axis;
is calculated as thus
Substitute
Rationalize the denominator
So, from the list of given options;
<em>The student's mistake is that a is positive in quadrant iv and his error is in step 3</em>
