Answer:
58 1/2
Step-by-step explanation:
multiply by 3/4
Answer:
-2
Step-by-step explanation:
f(x)=3x^2+5x-14
f(-3)=3(-3)^2+5(-3)-14
f(-3)=3(-3)(-3)-15-14
f(-3)=3(9)-29
f(-3)=27-29
f(-3)=-2
Answer:
your answer is correct.
Step-by-step explanation:
For the purpose here, we'll call the missing point on the arc through Z point X.
Essentially, you want to make ΔXYZ ≅ ΔLMN by SSS. The construction so far ensures LM ≅ MN ≅ XY ≅ YZ. By copying the length LN to XZ, you ensure the congruence of the remaining sides of the triangles.
Then ∠XYZ ≅ ∠LMN because corresponding parts of congruent triangles are congruent.
In short, XZ needs to be the same distance as LN.
Answer:
x = 1.5
Step-by-step explanation:
Given


Required
Find the value of x.
First, the inequalities need to be rewritten and merged;
if
, then

Multiply both sides by 2


Similarly;

Multiply both sides by 2


Merging these results together; to give

This means that the range of values of x is from 1.5 to 4.9999....
From the question, x is the smallest rational number; from the range above (
), the minimum value of x is 1.5 and 1.5 is a rational number;
Hence, x = 1.5
Answer:
x is equal to negative one, and y is equal to negative four.
Step-by-step explanation:
You can do this by solving one of the equations by either x or y, then substituting it into the other. Let's solve the second one for y:

Now we'll substitute that into the first equation:

So we now know that x is equal to -1. We can simply substitute that into one of the original equations to find y:

We now know that x is equal to -1, and y is equal to -4. We can also check our answer by plugging that -4 into the other equation, and see if we still get -1:

So we know that our answer is correct.