Answer:
y=6
Step-by-step explanation:
use either box, foil, or distribution method in order to multiply and solve
(4m-6)(8m-4)
Answer:
You already know how to simplify an expression like
7
(
4
x
+
3
)
, right? Just use the distributive property to multiply 7 times 4x and then 7 times 3. This gives you an answer of
28
x
+
21
. Pretty simple. But - What if you have something like this:
(
4
x
+
6
)
(
x
+
2
)
? That's where we use the FOIL method. FOIL means First, Outside, Inside, Last. That's not too hard to remember if you say it in your head a few times.
You use FOIL to multiply the terms inside the parenthesis in a specific order: first, outside, inside, last. Here's how to solve
(
4
x
+
6
)
(
x
+
2
)
:
First - multiply the first term in each set of parenthesis:
First
4
x
∗
x
=
4
x
2
Outside - multiply the two terms on the outside:
Outside
4
x
∗
2
=
8
x
Inside - multiply both of the inside terms:
Inside
6
∗
x
=
6
x
Last - multiply the last term in each set of parenthesis:
Last
6
∗
2
=
12
Now just add everything together to get
4
x
2
+
14
x
+
12
. This method only works easily with two binomials. To multiply something complicated like
(
4
x
+
6
)
(
5
x
−
3
)
(
15
−
x
)
, just do FOIL on two of the binomials and then distribute the answer onto the remaining binomial.
Here are some more examples of FOIL multiplication:
Example:
Multiply the following:
(
6
x
+
1
)
(
2
x
+
9
)
Solution:
Just follow the letters in FOIL:
First:
6
x
∗
2
x
=
12
x
2
Outside:
6
x
∗
9
=
54
x
.
Inside:
1
∗
2
x
=
2
x
.
Last:
1
∗
9
=
9
.
Sum it all up and you get:
12
x
2
+
56
x
+
9
.
Example:
Multiply the following:
(
2
x
−
5
)
(
x
−
4
)
Solution:
Just follow the letters in FOIL:
First:
2
x
∗
x
=
2
x
2
Outside:
2
x
∗
(
−
4
)
=
−
8
x
Inside:
−
5
∗
x
=
−
5
x
Last:
(
−
5
)
∗
(
−
4
)
=
20
Sum it all up and you get:
(
2
x
2
−
13
x
+
20
)
.
The FOIL method is not too difficult to learn once you remember what it stands for. Just repeat first, outside, inside, last and you'll remember it. Other than that, it's just a matter of multiplying each of those steps and adding everything together. Even if the numbers are really ugly with fractions and negative signs and such just follow the steps and the method will work.
Step-by-step explanation
plz help............
4. x.y
Step-by-step explanation:
thats the answer, Its number 4
Solve the following compound inequality
Answer:
i believe your answer is correct
Step-by-step explanation:
what is the soulution to the equation 13 3/4+x=7 1/4
Step-by-step explanation:
[tex]13 \frac{3}{4 } + x = 7 \frac{1}{4} [/tex]
[tex] \frac{55}{4} + x = \frac{29}{4} [/tex]
[tex]x = \frac{29}{4} - \frac{55}{4} [/tex]
[tex]x = - \frac{13}{2} [/tex]
Round to two decimal points
Which of the following statements is true?
9.5 2.48
17.18 > 17.2
11.5 = 11.05
Answer:
I'm gonna say the top one bc the other two aren't correct :)
What symmetries does a octagon have?
Answer: Regular octagon A regular octagon is a closed figure with sides of the same length and internal angles of the same size. It has eight lines of reflective symmetry and rotational symmetry of order 8.
Step-by-step explanation:
help pls1ssssssssssssssssssssss
Answer:
108 bottles
Step-by-step explanation:
[tex] \frac{4.536}{0.042} = 108 \: bottles[/tex]
Answer:
108 bottles
Step-by-step explanation:
[tex]\frac{4.536}{0.042}[/tex]=108
Indicate whether the expression above is equivalent or not equivalent to the values or expressions in the last column.
Please help !!!!
Answer:
3. equivalent
4. not equivalent
Step-by-step explanation:
Answer:
what are you doing step bro!!??
Step-by-step explanation:
In a population of spiders, there is a protein that is coded in the
DNA to make venom. In a particular spider, there was a protein
variation due to a change in the genetic code. This protein
variation caused the spider's venom to be stronger to kill its prey.
This genetic variation was passed down to offspring and was
favored due to the amount of time shortened to eat its prey.
What will likely happen to this population of spiders?
eventually all of the offspring will have the genetic variation
Step-by-step explanation:
the variation was passed down to its offspring, and was favored, so it is now just part of its genetics, meaning all of the offspring from the original spiders offspring, will also have the genetic variation. hope this helps :)
What is 2+2
A) 22
B) 4
C) 38
D) 55
Answer:
B
Step-by-step explanation:
Answer: 4
______
_\ _~-\___
= = ==(____AA____D
\_____\___________________,-~~~~~~~`-.._
/ o O o o o o O O o o o o o o O o |\_
`~-.__ ___..----.. )
`---~~\___________/------------`````
= ===(_________D
Please answer quickly
Given: sin(A) = 4/5, pi/2 < A < pi and sin(B) = -2root5/5, pi < B < 3pi/2 What is the value of cos(A – B)?
Answer:
-√5/5
Step-by-step explanation:
Given the following
sin(A) = 4/5
sinB - -2√5/5
SinA = 4/5 = opp/hyp
We can get cosA
opposite = 4
hypotenuse = 5
Adj = √5²-4² (pythagoras theorem)
Adj = √25-16
Adj = √9
Adj = 3
Cos A = Adj/hyp
Cos A = 3/5
Also
Sin B = -2√5/5 = opp/hyp
opposite = -2√5
hypotenuse = 5
Adj = √5²-(2√5)² (pythagoras theorem)
Adj = √25-20
Adj = √5
Cos B = Adj/hyp
Cos B = √5/5
Evaluate cos (A-B)
cos (A-B) = cosAcosB + sinAsinB
cos (A-B) = 3/5(√5/5)+4/5(-2√5/5)
cos (A-B) = 3√5/25 - 8√5/25
cos (A-B) = -5√5/25
cos (A-B) = -√5/5
Hence the value of cos (A-B) is -√5/5
2 + 2 = ______________________________________________
Answer:4
Step-by-step
Please help me with the questions
Answer:
11.76 ft or 12 ft
Step-by-step explanation:
tan 30= x/12 tan 22= x/12
x= 6.92 x= 4.84
6.92+4.84=11.76ft
11.76 rounded to the nearest foot= 12ft
Please Answer ASAP!!!!!!!!!!!!!!!!!!!!!!!
Only answer if you 100% KNOW its correct! :)
Replace the question mark in the above problem with the appropriate number.
Answer:
The ? should be a 6
Answer:
Step-by-step explanation:
6
Solve.
3.5 x (5.8 - 7.09) =
Answer:
-4.515
Step-by-step explanation:
3.5 times 5.8 is 20.3 and then 3.5 times -7.09 is -24.815 added together to get -4.815 so technically its none of those but they might have miss typed so i think probably -4.515
123% of what is 111?
this is one of the reasons I hate math
Answer:
90.244
Step-by-step explanation:
111 ÷ 1.23 = 90.244
The sum of the perimeters of 2 different squares is 68 feet, and the difference between their perimeters is 12 feet. What is the side length of
each square?
9514 1404 393
Answer:
10 ft7 ftStep-by-step explanation:
The side lengths are 1/4 of the perimeter, so we can say ...
the sum of side lengths is 68 ft/4 = 17 ft
the difference of side lengths is 12 ft/4 = 3 ft
Using x to represent the side length of the smaller square, we have ...
x + (x +3) = 17 . . . . . . the larger square has side length x+3
2x = 14 . . . . . . . . . subtract 3
x = 7 . . . . . . . . divide by 2
The side lengths of the squares are 7 feet and 10 feet.
Solve for y
4x + 4y = -36
uhhhh the answer is -9 I think
For a school fund-raiser, 10 students sold a total of 90 boxes of cookies. Which of the following can be calculated from this information?
Answer: what of the following
Step-by-step explanation:
Answer:
is it multiple choice
Step-by-step explanation:
HELP!!!
Lupitas Sister is Purchasing gas at the gas station. She buys 10 gallons of gas for $29.50
Write the and equation that represents the proportional relationship between number of gallons of gas purchased and the cost in dollars.
Step-by-step explanation:
10 gallons of gas is $29.50
10 gallons of gas = $29.50
10 gallons of gas / 10 = $29.50 / 10
1 gallon of gas = $2.95
Per x gallons of gas,
1 gallon of gas * x = $2.95 * x
x gallons of gas = $2.95 * x
Please give me the correct answer
Answer:
(-3,-2)
Step-by-step explanation:
If you draw a line across from Point A to -3, and a line down from Point P to -2, you get the point (-3,-2) and a right triangle.
Express 10 : 12 as a decimal.
(Round to the nearest hundrerdth)
Answer:
pretty sure it's .833
Step-by-step explanation:
I ALREADY ASKED THIS QUESTION BUT SINCE NO ONE ACTUALLY HELPED ME IM ASKING AGAIN BC I REALLY NEEDA TURN IT IN SO PLEASEEE HELP!!
A 20 foot ladder is placed against a wall at a 75 degree angle with the ground. The wall is perpendicular to the ground.
PART A: How high on the wall, in feet, will the ladder reach? Round your answer to the nearest tenth. Show your work.
PART B: What is the distance, in feet, from the wall to the base of the ladder? Show your work.
Answer:
A. 19.3ft B. 5.2ft
Step-by-step explanation:
So the ladder leaning against the wall forms a triangle. The hypotenuse of
triangle is the ladder (20) and the angle given between ladder an ground is 75 degrees. Use trig to find the height of the wall which is the leg of the triangle.
Sine of Angle is opposite side/hypotenuse
Cosine of Angle is adjacent side/hypotenuse
so Sine of 75 degrees = Wall height/20
Wall height = 20 times Sine of 75 degrees
Sine of 75 degrees = .9659
20 times (.9659) = 19.3ft
So now use Cosine to find the other leg of the triangle (the distance between the bottom of ladder to the wall)
Cosine of 75 degrees = Distance wall to base of ladder / 20
Cosine of 75 degrees = .2588
20 times (.2588) = 5.2ft
Javier worked 25 hours the first week then 33 hours the second week. What is the percent increase?
Answer:
theres no percent to start off with so this question doesnt make sense unless the answer is 8
Step-by-step explanation:
Answer:
33% maybe ???
Step-by-step explanation:
which team has the taller player (picture involve)
Answer:
which team has the taller player (picture involve
B the skyview ravens
Answer:
the davis tigers has taller player
because their player is 0.625 inches taller more than the Skyview Ravens player
Helppp meh please please
write 103 as a series of products
Answer:
10*10*10
Step-by-step explanation:
Given the expression 10^3
We are to write this as a series of products as as shown;
10^3 means the product of 10 in 3 places. Multiplying 10 in 3 places will give the required series of product.
10^3 = 10 * 10 * 10
Hence the series of product of 10^3 is 10*10*10
Hey, here are all the problems. Im not sure how to do this and my teacher isnt giving me much time. Help would be apricated
(9x + 5) - (-8x - 11)
(-5x - 7) + (-2x + 6)
(-x - 9) - (5x + 4)
(3x - 4) - (x - 7)
(7x + 4) - (5x + 5)
(2x - 3) + (7x + 11)
(-4x - 5) + 2(3x - 4)
2(6x - 7) - (2x + 3)
(5x + 4) - (5x + 12)
Answer:
17x + 16
-7x - 1
-6x - 13
2x + 3
2x - 1
9x + 8
2x - 13
10x - 11
- 8
Step-by-step explanation:
Did this all in my head so apologies if its incorrect! Mostly just collecting like terms and distributive property.