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
What two numbers have a sum of 215 and a difference of 137
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.)
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
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
Answer:7
Step-by-step explanation:
Help ASAP pleaseee lol
I’ve attached my table of what I’ve done
Determine which of the graphs represent the proportional relationships. Circle the appropriate response.
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=_____________.
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 equationThe 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
Answer:
its A
Step-by-step explanation:
its A because parallel are two straight lines next to each other
Which of the following points is in the solution set of y>-x² + 5?
A. (0,5)
B. (1,3)
C. (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
Answer:
can u in some way better write down the expression so i can solve..? :)
2.95___2.949 which is greater
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.
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?
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?
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
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
Answer:
12
Step-by-step explanation:
lower quartile is the median of 11, 12, and 16
factorise p-q-x(q-p)
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
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.
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
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
Answer:
8/50
Step-by-step explanation:
2/10 x 4/5 = 8/50
Hope that helps!
Whatis the area of the figure below? Write your answer in square feet.
15 ft.
8 ft.
Answer:
60ft²
Step-by-step explanation:
A=½l×w
=½×8×15
=60
Pls I need help thank you
Answer:
angle FGJ and angle KJG
hope it helps
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.
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?
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. (:
what's the value of y
[tex]y = \frac{64}{ {2}^{2} } [/tex]
HELPPP please!!! need answer fast, very confused
Answer:
I think D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Its d
Law of Sines: Homework please help
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
Answer: P=2300 (1- 0.05)^x
Step-by-step explanation: