find the product of (5x+4)(5x-4)

Answers

Answer 1

Answer:

25x² - 16

Step-by-step explanation:

Given

(5x + 4)(5x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

5x(5x - 4) + 4(5x - 4) ← distribute parenthesis

= 25x² - 20x + 20x - 16 ← collect like terms

= 25x² - 16


Related Questions

What two numbers have a sum of 215 and a difference of 137

Answers

Answer:

see below

Step-by-step explanation:

let x = big number

let you = small number

x + y = 215-------> (1)

x - y = 137 ------>(2)

(1)

x = 215 - y ----->(1)

substitute 1 into 2

215 - y -y = 137

-2 y = 78

y = 39

substitute y = 39 into (1)

x = 215 - (39)

x = 176

thus the numbers are 176 & 39

hope this helps

please mark it brainliest

it took me quite long to do this

The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.​ (Hint: An isosceles right triangle is a right triangle whose legs are the same​ length.)

Answers

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

[tex]y = 11 + x[/tex]

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

[tex]y^2 = x^2 + x^2[/tex]

[tex]y^2 = 2x^2[/tex]

This gives:

[tex](11+x)^2 = 2x^2[/tex]

Open bracket

[tex]121 + 22x + x^2= 2x^2[/tex]

Collect like terms

[tex]2x^2 - x^2 -22x - 121 = 0[/tex]

[tex]x^2 -22x - 121 = 0[/tex]

Using quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{968}}{2*1}[/tex]

[tex]x = \frac{22\±31.11}{2}[/tex]

Split

[tex]x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\[/tex]

[tex]x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}[/tex]

x can not be negative.

So:

[tex]x = \frac{53.11}{2}[/tex]

[tex]x = 26.56[/tex]

Recall that:

[tex]y = 11 + x[/tex]

[tex]y = 11 + 26.56[/tex]

[tex]y = 37.56[/tex]

Hence, the dimensions are:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Please I need help on this problem this assignment due tomorrow!!!!!!! be brainliest if help me

Answers

Answer:

don't click that guy's link it's a virus

I'm pretty sure the answer if 50% chance

Step-by-step explanation:

I just combined the probabilities because it's for both lights

hope it helps <3

Find the value of y from the above rhombus

A. 2
B. 3
C. 7
D. None of these

Answers

Answer:7

Step-by-step explanation:

Help ASAP pleaseee lol

Answers

I’ve attached my table of what I’ve done

Determine which of the graphs represent the proportional relationships. Circle the appropriate response.

Answers

So number six the ratio is(3,3) I think and is Non-proportional

Joe runs an M&M's factory and is reviewing the bagging machines. They drop M&M's into bags on a conveyor belt, with 39 M&M's going into each bag. Write an equation for the number of bags 'B' that can be filled from a supply of M&M's 'T'. Write your equation in the form of B=_____________.

Answers

The equation for the number of bags 'B' that can be filled from a supply of M&M's 'T' will be T / 39.

How to explain the equation

The formula to determine how many bags 'B' can be filled with M&M's from a stockpile of 'T', where each bag contains 39 candies, is:

B = T/39

This computation takes the sum of all M&M's in 'T' and divides it by the quantity of candies present in each sack (39), producing the amount of bags 'B' that can be filled.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

3. Which best describes parallel lines?
a) two lines that originate from the
same point
b) two lines that intersect at multiple
points
c) two lines that curve to form a circle
d) two lines that are always equidistant

Answers

Answer:

its A

Step-by-step explanation:

its A because parallel are two straight lines next to each other

The answer is A have a good day

Which of the following points is in the solution set of y>-x² + 5?
A. (0,5)
B. (1,3)
C. (2,4)

Answers

Uh I did not learn this yet but I think The answer is 2,4

Which expressions are equivalent to the given expression?
y^-8y^3x^0x^-2

1.) x^-2y^-5

2.) 1/y^24

3.) x^2y^-11

4.) x^2/y^11

5.) y^-24

6.) 1/x^2y^5

I hope this makes sense but I don’t understand it

Answers

Answer:

can u in some way better write down the expression so i can solve..? :)

2.95___2.949 which is greater

Answers

Answer:

Step-by-step explanation:

Put them in your calculator. I think you'll find 2.95 is larger by 0.001

Do it like this 2.95 - 2.949 = 0.001

The diameter of a circle is 5 inches. ​ ​Find the length of its radius. ​ Answer:​ inches.

Answers

The answer
2.5 in inches

Circle a is defined as (x+5)^2 + (y+6)^2 + 16, and circle b is defined as (x+3)^2+(y+2)^2 =9. Which transformation of circle a shows that circle b is similar?

Answers

Answer:

We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)

Step-by-step explanation:

We should apply a translation prior to determine if both circles are similar. If we translate the circle A to the center of the circle B. The translation needed is the vectorial distance between both centers:

[tex]T(x,y) = B(x,y)-A(x,y)[/tex] (1)

Where:

[tex]T(x,y)[/tex] - Translation vector.

[tex]A(x,y)[/tex] - Location of the center of the circle A.

[tex]B(x,y)[/tex] - Location of the center of the circle B.

If we know that [tex]A(x,y) = (-5,-6)[/tex] and [tex]B(x,y) = (-3,-2)[/tex], then the translation vector is:

[tex]T(x,y) = (-3,-2)-(-5,-6)[/tex]

[tex]T(x,y) = (2,4)[/tex]

We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)

Answer:

Step-by-step explanation:D

Four friends order pizza from a take away.
The amount of pizza each person eats is shown as a fraction below.
Matthew eats 0.8 of a pizza
3
Lily eats 1/4 of a pizza
George eats 77 % of a pizza
Sam eats 82% of a pizza
Which person eats the most pizza?

Answers

Answer:

Sam

Step-by-step explanation:

Mathew: 0.8 = 80%

Lily: 1/4 = 25%

George: 77%

Sam: 82%

Given the definitions of f(c) and g(x) below, find the value of g(f(5)).
f(x) = 2x – 10
g(x) = x2 + 6x – 8

Answers

Answer:

gf(5) = -8

Step-by-step explanation:

gf(x) = g(x^-1) = x^2 + 6x - 8

f(x) = 2x - 10

gf(x) = 6(2x - 10) - 8

gf(x) = 12x - 60 - 8

gf(x) = 12x - 68

gf(5) = gf(x) = 12x - 68

gf(5) = 12(5) - 68

gf(5) = 60 - 68

gf(5) = -8

Here are the score that Jenna has received on her seven quizzes 16 11 20 16 12 17 18 what is the lower quadrille

Answers

Answer:

12

Step-by-step explanation:

lower quartile is the median of 11, 12, and 16

11,12,16,16,17,18,20
median: 16
lower q: 12

factorise p-q-x(q-p)​

Answers

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

John ate three hot dogs at a hot dog eating contest in 45 seconds. How many hot dogs
should he be able to eat in the 5 minute contest limit?
show work

Answers

Answer:

5÷0.45=11.1

11x3=33

Step-by-step explanation:

300/45=6.67x3=20

He would be able to eat 20 hot dogs

Let AB be the directed line segment beginning at point A(5 , 5) and ending at point B(19 , 16). Find the point P on the line segment that partitions the line segment into the segments AP and PB at a ratio of 5:2.

Answers

Answer:

(9, 57/7)

Step-by-step explanation:

Given the coordinates A(5 , 5)  and B(19 , 16), divided by the point P in the ratio 5:2, to get the coordinate of P, we will use the formula;

P(X, Y) = {{ax1+bx2/a+b, ay1+by2/a+b}

X = ax1+bx2/a+b

Substitute the given values

X = 5(5)+2(19)/5+2

X = 25+38/7

X = 63/7

X = 9

Similarly;

Y = 5(5)+2(16)/5+2

Y = 25+32/7

Y = 57/7

Hence the coordinate of point P is (9, 57/7)

I need help ASAP please

Answers

Answer:

It's actually B

Step-by-step explanation:

The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.

So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B

What is the value of the expression: 2/10 ÷ 5/4?
1/50
4/10
8/50
1/2

Answers

Answer:

8/50

Step-by-step explanation:

2/10 x 4/5 = 8/50

Hope that helps!

4/25 came up so I’m not sure/

Whatis the area of the figure below? Write your answer in square feet.
15 ft.
8 ft.

Answers

Answer:

60ft²

Step-by-step explanation:

A=½l×w

=½×8×15

=60

Pls I need help thank you

Answers

Answer:

angle FGJ and angle KJG

hope it helps

The correct answer is angles FGJ for number 1 and angle KJG for number two

Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds.

Answers

Question isn't well formatted and seems incomplete :

Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds. The total weight of in the truck.

Answer:

Step-by-step explanation:

Given that:

Number of trucks = 3

Number of bags each truck can hold = 3

Weight per bag = 200 pounds

Amount of in each truck :

Weight per bag * number of bags

200 * 3 = 600 pounds

Which is 600 pounds per truck

Total pounds carried by the trucks :

600 pounds * 3 = 1800 pounds

4.
In a certain state, license plates have 2 letters followed by 5 digits. How many different license plates
are possible if
a) digits and letters can be repeated?
b)
digits and letters cannot be repeated?

Answers

Answer: A) 26_ 26 10_10_10_10_10 = 67,600,000

B) 26_25 10_9_8_7_6 = 19,656,000

Step-by-step explanation: A) There's exactly 26 letters in the Alphabet and it wants us to repeat it, so write 26_26. Since it's also asking for a 5 digits, write 10 five times because there's only 10 digits; 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Multiply the Numbers all-together which is equals 67,600,000.

B). Again, since the License plate has 2 letters, write the Number twice. However it cannot be repeated, so write 26_25. As for the 5 digits write the Number 5 times, but it also can't be repeated, so write 10_9_8_7_6 (Use commas if you want). Then Multiply the Numbers all-together which equals 19,656,000.

Hellohello, if you able to help me then please do. (:

Answers

the answer is L < 5 .

what's the value of y

[tex]y = \frac{64}{ {2}^{2} } [/tex]

Answers

y= 16

explain: two squared is equal to four then we just divide normally with the fraction bar given. 64÷4= 16
Hopes this helps:

Answer: y = 16

1. Simplify 2^2 to 4.

Y = 64/4


2. Simplify 64/4 to 16.

Y = 16

HELPPP please!!! need answer fast, very confused

Answers

Answer:

I think D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Its d

Law of Sines: Homework please help

Answers

Answer:

37+12 =49_218+54=4554472287/41

The bird population in a forest is about 2300 and is decreasing at a rate of 5% per year. Let t represent the number of years and P represent the population. Write an exponential decay model to represent this situation. (please fill in those blank spaces)

P = _____ (1 - ____ ) t

Answers

Answer: P=2300 (1- 0.05)^x

Step-by-step explanation:

Other Questions
Could someone help me with with 6-10?? PLEASE HELP!............. 1) This rock is made out of cooled magma. A) IgneousB) SedimentaryC) MetamorphicD) Sandstone2) This type of rock is made through the processes of heat and pressure. A) IgneousB) SedimentaryC) MetamorphicD) Sand3) Sandstone is a sedimentary rock. How does sandstone form? A) It melted and cooled.B) It broke into sediment and then compacted.C) It was heated and put under pressure.D) Rocks dont form; they stay as they are.4) What type of rock can be broken down into sediment through weathering? A) IgneousB) SedimentaryC) MetamorphicD) All types of rocks5) How does rock from a mountain turn into small pieces of rock? A) Wind and rain break the rock into small pieces.B) Earthquakes and natural disasters break the rock.C) The sun's rays break the rock.D) Everything breaks into pieces if you leave it out.6) Can igneous rock underneath Earths outer layer change into sedimentary rock? A) Yes, but it must be subducted first.B) Yes, but it must be weathered first.C) Yes, but it must be uplifted first.D) No, igneous rock can never become sedimentary.7) This energy source creates magma, which is melted rock that will turn into igneous rock. A) SunB) AirC) Earth's InteriorD) Water8) This energy source helps create weather, which creates sediment to form sedimentary rocks. A) AirB) SunC) WaterD) Earth's Interior9) What is the difference between magma and lava?A) Magma is very hot, lava is cool.B) Magma is molten rock within the earth; lava is molten rock on the earth's surface.C) Magma is molten rock on the earth's surface; lava is molten rock within the earth.D) Magma is cool, lava is very hot. If a company has goodwill on its books, the goodwill: In a neutralization reaction, bases donate. What number divided by 4 equals 6?Type the correct answer, then press Enter. is there a way to report accounts on here? DUE BY TOMORROW!!!Create a thesis statement using 3 main ideas about Latinos/Americans experiences in World War 2. Is (a + b) and (a - b)? perfect square trinomials?O TrueO False Imagine you are expelled from school for writing inappropriate content in an essay for English class. You sue the school for violating your 1st Amendment right to free speech. Who is the plaintiff in this case? Where has the worlds largest deposit of heavy crude oil been found? Why are organisms classified into kingdoms, phylum, class, order, family, genus, and species? If a/b = 2/3, then 3a = ___. sorry, some je,rk came and reported all of my answers and questions. the thing that sucked- was the answers were actual answers that were supposed to help ppl. dk how I feel rn :/ a pet shop sells a 6 can multipack of dog food for 3.18 and a 15 can multipack for 7.80. which multipack is the best value for money Based on the passage, which industry makes up 27% of Singapore's economy?A)agriculturalB)manufacturingC)retailD)serviceHELP ASAP PLZ If the exponential model f(x)=9(13)x is written with the base e, it will take the form A0ekx. What is A0 and what is k? What is the verb phrase in the sentence? Perhaps someone will take your picture Mark u brainliest!!Why were millions of Americans this past summer? Over the next century, up to one ________ species may be at risk for extinction.