Hello! To solve this problem, we can split the problem in two and add the products together.
5 x 3 = 15
1/3 x 3 = 0.9
15 + 0.9 = 15.9
Hope this helps! :)
Answer:
x is 71
Step-by-step explanation:
X + 72 + 37 = 180 ( Sum of angles in a triangle)
X = 180 - 72 - 37
X = 71
Unfortunately your response would only be true if CD was perpendicular to AB. However we don't know if CD is perpendicular or not. So we don't have enough information. The actual answer is choice E) None of these.
Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
Answer:
Let's use the slope-intercept form of the equation of a line describe the slope and the y-intercept:
y = mx + b where m=slope and b=y-intercept
