Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:
<u>Algebra II</u>
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = -x² - 6x - 14
<u>Step 2: Set up</u>
- Set equation equal to 0: -x² - 6x - 14 = 0
- Factor out -1: -(x² + 6x + 14) = 0
- Divide both sides by -1: x² + 6x + 14 = 0
<u>Step 3: Define variables</u>
a = 1
b = 6
c = 14
<u>Step 4: Find roots</u>
- Substitute:
- Exponents:
- Multiply:
- Subtract:
- Factor:
- Simplify:
- Factor:
- Divide:
Answer:
x=42
Step-by-step explanation:
so they u the exterior angle is 132
line makes 180 degree
180-132 =48
now they tell u a right angle
that is 90
triangles interior angles add up to 180
180-90-48=
42
<h3>Brainliest Please</h3>
Answer:
Step-by-step explanation:
If it is a parallelogram the opposite sides will a have the same slope.
Using the diagram we see from the coordinates of A and B:
Slope of AB = (5 - -1)/(-1 - -5)
= 6/4
= 3/2.
In the same way
slope of CD = (2 - -4) / (1 - -3)
= 3/2.
So AB and CD can be shown to be parallel.
Similarly the lines BC and AD are parallel.
So the figure is a parallelogram
Finding the perimeter (counting the units between the points):
Perimeter = 2AB + 2BC
By Pythagoras:
AB = sqrt (6^2 + 4^2) = sqrt 52
BC = sqrt (3^2 + 2^2) = sqrt 13
So Perimeter = 2sqrt52 + 2sqrt13
= 4sqrt13 + 2 sqrt13
= 6sqrt13
or 21.63 unit^2 to 2 decimal places.
Area = sqrt52 * perpendicular distance between the lines AB and CD.
From all this information we can come up with a few equations to work with...
first we have that the worth of each coin times the number of those coins all added together equals 4.65
here I have n = nickels, d = dimes, and q = quaters
then we are told that there are "three more quarters than dimes"
which translates to the equation
or
we are also told that there are "twice as many nickels as quarters"
this translates to
to solve for quarters, we plug in d (in terms of q) and n (in terms of q) into the first equation we created.
then we distribute and start trying to solve for
then add like terms
then add 0.30 to both sides
then divide both sides by 0.45
therefore our answer is B) 11 quarters
All it’s asking is how many students basically scored 90 and under. there’s a total of 25 kids and 14 scored a 90 or less.