Answer:
x = 1.24
Step-by-step explanation:
In order to get that x down from its current position of exponential, you need to take either the log or the natural log of both sides. The power rule tells us that we can then pull the exponent down in front. So let's take the natural log of both sides:
We can bring the x down in front to give us:
ln(83) = x ln(35)
The right side of this is "stuck" together by multiplication, so we can undo that multilication by division of the ln(35). That leaves us with just x on the right:
Do this on your calculator and find that x = 1.24
Hello! I can help you! First things first, because they are both the same angles on opposite sides, let's set this up in the form of an equation and solve for "x". It would be set up like this:
2x + 20 = 3x - 30
You see up top that it says 2(x + 10). What you would do is multiply what's in the parenthesis by 2, in order to get 2x + 20. Then put the equal sign and write 3x - 30. Subtract 3x from both sides to get -1x + 20 = -30. Subtract 20 from both sides to get -1x = -50. Divide each side by -1 to isolate the "x". In this case, because you are dividing a negative number by a negative number, your quotient will be positive. -50/-1 is 50. Let's plug in the value as "x" and see if it works. 50 * 2 is 100. 100 + 20 is 120. 50 * 3 is 150. 150 - 30 is 120. 120 = 120. There. x = 50.
Answer:
3/4
Area of the small triangle/Area of larger triangle=3/4
Area of the small triangle/Area of larger triangle=(1/2×base of small triangle×length)/(1/2×base of larger triangle×height)
3/4=(1/2×base of small triangle×height)/(1/2×base of larger triangle×height)
Since the length of the triangle are equal the base ratio of the two triangles is the same as area ratio.
Answer: D
Step-by-step explanation:
A. 3 + -7 < -4
-4 < -4
X
this one isn’t a solution
B. 3 + -7 ≤ -4
-4 ≤ -4
this works, let’s try the other equation
3(3) + 2(-7) < -5
9 + -14 < -5
-5 < -5
X
this one doesn’t work either, let’s go on to the next one
C. the first equation is the same as the first one in A, and that didn’t work, so we know that the whole thing doesn’t work and we don’t have to do any math
D. we know the first equation works because we did it in B
let’s go on to the second equation
3(3) + 2(-7) ≤ -5
9 -14 ≤ -5
-5 ≤ -5
this works, so that means that both equations work and the whole thing works :)
