Answer:
x≤-2
Step-by-step explanation:
To solve the inequality, we have to add 1 on each side:
5x-1≤11
+1 +1
And then we get:
5x≤-10.
To find x, we have to divide each side by 5:
5x/5≤-10/5
After we do that, we get:
x≤-2.
3(j+4)-9=9
3j + 12 -9 =9
3j +3 =9
3j =6
j=2
When exponents are separated by a parenthesis it means you need to add them. Because the parenthesis is around the entire number then you raise everything inside the parenthesis to the outside exponent. Then anything raised by 0 as an exponent is automatically 1.
You think of this visually as 3a*3a*3a= 27a^9 is your answer
The length should be 10 bc area = length x with . and 10 times 10 is 100
Answer:
Step-by-step explanation:
You are to assume in both problems that the two triangles are similar. That is a very dangerous assumption -- especially in later math classes. But in this case, there is no other way to do the problem. The two sets of triangles look like they are proportional. So set up two ratios that are = to each other
On the left
long side small triange / long side large triangle = base small triangle / base large triangle
On the right
hypotenuse/longest leg = hypotenuse / longest leg.
Problem A
Set up the similar Proportion
5/40 = x/20 Cross Multiply
40x = 20*5
40x = 100 Divide by 40
x = 100/40
x = 2.5
Problem B
Again set up the similar triangle proportion
15/10 = x/2 Multiply by 2
15*2/10 = x
3 = x
