how do you Factor in algebra 2?
for example:
r^2-r-20
and
x^2+8x+12
(r-5)(r+4)
(x+6)(x+2)
Step-by-step explanation:
1 r^2 - 1 r - 20
multiply the first and third terms
-20 times 1 equals -20. take the -1
*what are two numbers that multiply together that equals -20 but add to equal -1?
-5 times 4 equals -20
-5 plus 4 equals -1
(r-5)(r+4)
1 x^2 + 8 x + 12
multiply the first and third terms
12 times 1 equals 12. take the 8
*what are two numbers that multiply together that equals 12 but add to equal 8?
6 times 2 equals 12
6 plus 2 equals 8
=(x+6)(x+2)
Write the expression below as a product of two factors.
12n + 8m - 4
Answer:
4(2m + 3n - 1)
I hope this helps!
Answer:
12=3*4 or 6*2. 8=4*2 and -4=4*-1
is the factors.
what is the distance between 1/4 and 3 1/16?
Answer:
2 13/16
Step-by-step explanation:
3/16 - 1/4
You play basketball At your schools indoor stadium. You have two payment options. Option A is to buy a membership card for $20 and pay $2 each time you go to the gym, t. Option B is to pay $4 each time you go. After how many trips to the gym will the cost be the same?
Answer:
10 trips
Step-by-step explanation:
Let the number of trips to the gym be represented by t
Option A is to buy a membership card for $20 and pay $2 each time you go to the gym.
$20 + $2× t
20 + 2t
Option B is to pay $4 each time you go.
$4 × t
= 4t
After how many trips to the gym will the cost be the same?
Option A = Option B
20 + 2t = 4t
Collect like terms
20 = 4t - 2t
20 = 2t
t = 20/2
t = 10 trips.
After 10 trips, the gym cost will be the same.
The lateral surface area of a cube is 400cm². Its total surface area is
_______
a)600cm² b) 2400cm² c) 500cm² d) 650cm²
Answer:
Step-by-step explanation:
Lateral surface area of cube = 4a²
4a² = 400
a² = 400÷4
a² = 100
a = √100 = √10*10
a = 10 cm
Total surface area = 6a²
= 6 * 10²
= 6* 100
= 600 cm²
Answer:
A
Step-by-step explanation:
I believe that I did this before.
I’ll mark brainliest
Evaluate the following expression for
m= -3
N= 4
P= 2
(4) / (2) + (-3)
4/2 - 3
4/2 - 3/1 ( 3/1 multiply by 2 to make denominators same ok )
4/2 - 6/2
-2/2 ( simplify )
-1 is the answer
The equation s =square root 30fd can be used to find the car's speed s in mph given the length d in feet of a skid mark and the friction factor f of the road. Police measured a skid mark of 90 feet on a dry concrete road. If the speed limit is 35mph, was the car speeding? Explain
Answer:
Yes, the car was speeding the speed limit.
Step-by-step explanation:
The given equation to find the car's speed, s (in mph), is
[tex]s=\sqrt{30fd}[/tex]
where, d is the length of the skid and f is the friction factor.
Police measured a skid mark of 90 feet, so d=90
As the road is dry and of concrete, therefore the friction factor, f=0.8.
So, the speed of the car
[tex]s=\sqrt{30\times0.8\times90} = 46.48[/tex] mph
The speed of the car is 46.48 mph which is more than the speed limit of 35 mph.
Hence, the car was speeding the speed limit.
3. The area of a rectangle is 5/8 square foot. The width of the rectangle is 24
feet. What is the length of the rectangle?
a) 25/16 feet
b) 25/5 feet
c) 14 feet
d) 4 feet
Answer: 14
Step-by-step explanation:
Well, we know that the formula to fugure out area is :Length times Width
We also know that WIdth is 24. So 24 times __ =5/8.
Now, how do you figure out __? Well, let's first replace that as a variable to make it easier. Let's choose: x Now, we know that:
x * 24 = 5/8.
To figure out x, we need to do 5/8 divided by 24, right? When you solve that, the answer would be 15. The closest is 14, so I think the answer is 14.
Write 3.19×10−2 in standard form.
Answer:
It is already in standard form
What is the temperature displayed on the thermometer?
Your Answer :
98.6°F (37°C).
Step - By - Step Explanation :
Your normal body temperature should be around 98.6°F (37°C). If you have a temperature that is over than 100.4°F (37.2°C), then you should see your doctor preferably soon.
Note :
I am sorry if this is the wrong answer to your question. Your query did not have an image to display the temperature on the thermometer nor did your query have any further context for us to examine.
Good luck on your homework and have a great day.
Feel free to comment on my answer if you have any further questions.
Answer:
25
Step-by-step explanation:
It's Correct On Edge As Well :P
Estimate 4.8 x 4.15.
Answer:
19.92
Step-by-step explanation:
4.8 x 4.15
Answer:
20 is the correct answer.
Step-by-step explanation:
Helen borrowed $8,000 from her grandfather to pay for college. Five years later, she paid him back the $8,000 and an interest of $1,200. What was the annual interest rate?
Answer:
3%
Step-by-step explanation:
No explanation
If you teach me how to mark brainlest i will mark you brainlest and you will get 20 points.
Answer:
tab on it.
Step-by-step explanation:
a line in point-slope form that goes through the points (8,-9) and (-4,15).
Answer: The answer is 1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Please find X. I need help!
There are 2 overlapping triangles here. If the vertical lines are parallel, then these triangles are similar, and corresponding sides occur in a fixed ratio. In particular, we have
2/3 = (2 + x) / (3 + (x + 7))
Solve for x :
2/3 = (2 + x) / (10 + x)
2 (10 + x) = 3 (2 + x)
20 + 2x = 6 + 3x
14 = x
question.
Contrast the plate movements that cause the stresses in diagrams B and C How did geography affect the way Greeks made their livings?
Answer:
1. Greece made most of their living from the sea.
2. They became fishers and sailors to get food.
3. On their peninsula they had many different ways to trade with other countries.
4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.
5. Since Greece's sea's are dived from one another, it make trading fiercely independent.1. Greece made most of their living from the sea.
2. They became fishers and sailors to get food.
3. On their peninsula they had many different ways to trade with other countries.
4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.
5. Since Greece's sea's are dived from one another, it make trading fiercely independent.
The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6 miles. The angle of depression, q, to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A. Write a function for q in terms of d.
Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]
Using Pythagoras :
SOHCAHTOAHorizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance
Total horizontal distance = opposite = (d + 0.6) miles Vertical distance = Adjacent = 2.5 MilesTo obtain the angle of depression, q :
Tanθ = opposite / Adjacent[tex] tan q = \frac{opposite}{adjacent}= \frac{total \: horizontal \: distance}{height} [/tex]
[tex] tan q = \frac{d + 0.6}{2.5} [/tex]
Therefore, q can be written in terms of d thus ;
[tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]Learn more : https://brainly.com/question/17350482
Bob needs his refrigerator fixed. The repairman will charge Bob a flat fee of $40 plus an additional $15 for each hour he needs to work on it. Write an equation to represent Bob's cost to repair his refrigerator. Use y for the total cost and x for hours.
Given:
Fixed fee = $40
Additional fee = $15 per hour
To find:
The equation to represent Bob's cost to repair his refrigerator.
Solution:
Let y be the total cost for x hours.
Additional fee for one hour = $15
Additional fee for x hour = $15x
Total cost = Fixed fee + Additional fee
[tex]y=40+15x[/tex]
Therefore, the required equation is [tex]y=40+15x[/tex].
What is the slope of the line that contains these points?
Pls help
Answer:
-1
Step-by-step explanation:
m=y2-y1/x2-x1
-6-(-5)=(-1)
6-5=1
-1/1=(-1)
hope this helps :3
if it did pls mark brainliest
line I is the perpendicular bisector of MN. find m
Answer:
m = 68
Step-by-step explanation:
MN bisects it or splits it in half so we know N = M, which we could also write as 8x-12 = 5x+18 because they give us those equations
once you have 8x-12 = 5x+18 you can subtract 5x from both sides, so you will get 3x-12 = 18, then you can add 12 to both sides and you will get 3x = 30. Once you have narrowed down to this you can divide three by both sides making x = 10
Now that we know x =10 we can insert it into the equation
5(10) + 18 = m
50 + 18 = m
m = 68
if 3/8 of a pizza cost $5, how much would a full pizza cost? (Be sure to write your answer in the form of money)
$13.35 rougly around that
When substances go through chemical changes, which of the following will always happen?
OA. One or more substances will be completely destroyed.
OB. Exactly one new substance will form and one will be destroyed.
OC. One or more substances with different chemical properties will form
OD. A gas will form or a white solid will precipitate.
Answer:
C
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
Just remember this:
Mass can neither be created or destroyed
What property justifies 4x=7
Answer:
x=1.5
Step-by-step explanation:
Answer:
exact form x=7/4
decimal form x=1.75
mixed number form x=1 3/4
Step-by-step explanation:
I will give brainliest!!!!!
The school cafeteria is packing picnic baskets for a field trip. To be fair, each basket must have equal numbers of cookies and strawberries for dessert. What is the greatest number of baskets that can be packed with 96 cookies and 88 strawberries?
44
16
32
8
Answer:
44 because it goes into both of the numbers twice without going over
Step-by-step explanation:
Hope this helps and i am 100% sure it is correct if you are having doubts. Brainliest please
What is equivalent to
Jamal needs to dig a ditch 15 yards long.
Jamal digs 7 yards in the morning and
another 3 yards after lunch. How much is left to dig
more of the ditch is left to dig?
Answer:
5 yards
Step-by-step explanation:
7y+3y=10yards
15yards-10yards=5yards
The drama teacher decreased the length of a play from 90 minutes to 60 minutes. What was the percent decrease in the length of the play?
Answer:
it was decreased by 67%
Step-by-step explanation:
Answer:
67 %
Step-by-step explanation:
i need help with this
Answer:
answer is A
Step-by-step explanation:
This symbol is called a tilde. In symbolic logic (a field of math
used a lot in computer sciences) it is used to denote "not." For
example, ~A means "not A." In some other contexts, it means
"approximately." For example, pi ~= 3.1416. (Note that sometimes it is
written above the equal sign, and sometimes it is used without an
equal sign - it depends on the situation and the publisher.)
Transversal / cuts lines a, b, c, and d.
Which two lines are parallel?
Answer:
A
Step-by-step explanation:
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 13, adjacent B C is 5, opposite A C is 12.
For the triangle above, find sin B.
a.
25°
c.
0.923
b.
0.385
d.
18°
Answer:
sin = opp/hyp
sin B = 12/13
sin B = 0.923
C