The total power of the variables for the one term expression is 3 + 2 + 5 = 10. Hence, the degree is 10.
To solve this problem, set up and solve a system of equations. The variables b and m will represent a bread loaf and milk jug, respectively:
I would solve using substitution. Take one of the equations and set it equal to one of the variables, for example:
Now, plug this into the other equation for m and solve for b:
We now know that a loaf of bread costs $2.50. Plug this value in for b in the first equation and solve for m:
One jug of milk costs $1.50 and one loaf of bread costs $2.50.
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
Easy the first one message me if you need more help.
Problem 1
<h3>Answer: C. lines a and b</h3>
Explanation: Circle or highlight the angles 10 and 15. They are alternate interior angles with line d being the transversal cut. It might help to try to erase line c to picture the transversal line d better. With d as the transversal, and angles 10 and 15 congruent, this must mean lines a and b are parallel by the alternate interior angle theorem converse.
==============================================
Problem 2
<h3>Answer: D. no</h3>
Explanation: The angles at the top are 32 degrees, 90 degrees, and x degrees which is the missing unmarked angle at the top (all three angles are below line m). The three angles must add to 180 to form a straight angle
32+90+x = 180
x+122 = 180
x = 180-122
x = 58
The missing angle is 58 degrees. This is very close to 57 degrees at the bottom. Though we do not have an exact match. This means lines m and n are not parallel. The alternate interior angles must be congruent for m and n to be parallel, as stated earlier in problem 1.
