9514 1404 393
Answer:
2. (only)
Step-by-step explanation:
The Pythagorean theorem tells you the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. To determine if these are right triangles, determine if that condition is met.
1. 3^2 +5^2 = 9 + 25 = 34 ≠ (√35)^2 . . . . not a right triangle
2. 5^2 +4^2 = 25 +16 = 41 = (√41)^2 . . . a right triangle
3. 6^2 +8^2 = 36 +64 = 100 ≠ (√10)^2 . . . . not a right triangle
4. 3^2 +3^2 = 9 +9 = 18 ≠ (3√3)^2 = 27 . . . . not a right triangle
Which of the following is the correct factorization of the polynomial below?
x3 + 10x2 + 25x
A. x(x + 5)(x - 5)
B. (x2 + 2x - 5)(x-10)
C. (x2 + 5x - 2)(x-10)
D. x(x + 5)2
Answer:
x(x+5)^2
Step-by-step explanation:
x^3 + 10x^2 + 25x
Factor out x
x(x^2+10x+25)
What 2 numbers multiply to 25 and add to 10
5*5 = 25
5+5 =10
x(x+5)(x+5)
x(x+5)^2
Answer:
D
Step-by-step explanation:
Given
x³ + 10x² + 25x ← factor out x from each term
= x(x² + 10x + 25) ← perfect square
= x(x + 5)²
Help Please!!!
Find the volume of the sphere
Answer:
523.6
Step-by-step explanation:
Not sure how to explain •-•
Hope it helps c:
Answer: use formula pi r^3
3.14 × 5 x 5 x 5 x 4 ÷ 3
Step-by-step explanation:
Please help me with this, i need help
Answer:
woa
i n
Step-by-step explanation:
Linear equation: -1
2
(6x + 10) = 13
Step 1: –3x – 5 = 13
Step 2: –3x = 18
Step 3: x = –6
Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
Answer:
see below
Step-by-step explanation:
-1/2 * (6x + 10) = 13
Distribute -1/2
–3x – 5 = 13
Add 5 to each side
-3x-5+5 = 13+5
–3x = 18
Divide each side by -3
-3x/-3 = 18/-3
x = -6
The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?
Answer:
[tex](-3,4/375)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{6}(\frac{2}{5})^x[/tex]
Reflection: Across y-axis
Required
The ordered pair on g(x)
The rule of reflection across y-axis is:
[tex](x,y) = (-x,y)[/tex]
So, we have:
[tex]g(x) = f(-x)[/tex]
f(-x) is:
[tex]f(-x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
Recall that:
[tex]g(x) = f(-x)[/tex]
Hence:
[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
From the options (missing in the question), the ordered pair is:
[tex](-3,4/375)[/tex]
To check this, we have:
[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{--3[/tex]
[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{3[/tex]
Expand
[tex]g(-3) = \frac{1}{6}(\frac{8}{125})[/tex]
Simplify
[tex]g(-3) = \frac{1}{3}(\frac{4}{125})[/tex]
Open bracket
[tex]g(-3) = \frac{4}{375}[/tex]
What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1, -4) and D(-5, -4)?
Answer: 12 units²
Step-by-step explanation:
To find the area of a parallelogram, we use the formula A=l×w. To find the length and width, let's graph out the parallelogram to get a better view. Let's refer to the picture attached to see what the graph looks like. The length is 4 units while the width is 3 units. Therefore we multiply.
A=4×3=12 units²
Now, we know the area is 12 units².
if a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?
A. ab+c=d
B. ab+ac=d
C. a(b+c)>10
D. ab
Answer:
B. ab+ac=d
Step-by-step explanation:
Answer:
ab + ac = d
Step-by-step explanation:
a(b+c)=d
Distribute the a
ab + ac = d
Help pleas like please ASAP
Answer:
(x+9)(x+5)
Step-by-step explanation:
find 2 numbers that add to 14 and multiply to 45
Which statement is not correct?
options b is not correct
Answer:
B is right option
Step-by-step explanation
A reflex angle is an angle that measures greater than 180 degrees and less than 360 degrees.
The probability that Dan buys a sandwich is 0.2.
The probability that Dan gets the bus is 0.9.
Assuming the events are independent, what is the probability that Dan buys a sandwich
and gets the bus?
Answer:
0.18
Step-by-step explanation:
Find the probability that both independent events occur by multiplying the individual probabilities by each other:
0.2(0.9)
= 0.18
So, the probability is 0.18
On a pie chart, a category representing 20% of the whole should correspond to a central angle of 20°.
Answer:
No! 20% does not correspond to a central angle 20°.
Step-by-step explanation:
The central angle for pie chart is 360°.
So, a category represents 20% is 20%(360) for central angle.
Let's simplify it to get the angle,
[tex]\frac{20}{100} * 360[/tex]
Simplify it,
72°
So, 20% does not correspond to a central angle 20°.
HELP pythagorean identity
Answer:
sin x
Step-by-step explanation:
sin ^2 x + sin x + cos ^ x -1
sin ^2 x + cos ^ x + sin x-1
We know that sin^2 x + cos ^2 x = 1
1 + sin x -1
sin x
Hi!
[tex]\sin^2x+\sin x+\cos^2 x-1=\\\\=\underline{\sin^2x+\cos^2x}+\sin x-1=\\\\=1+\sin x-1=\boxed{\sin x}[/tex]
What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=−7x3+91x2−280x−9? Note that g(5)=g(8)=−9. (Do not include "c=" in your answer.)
Answer:
[tex]\displaystyle c = \frac{20}{3}[/tex]
Step-by-step explanation:
According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one c within (a, b) such that f'(c) = 0.
We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a c in (5, 8) such that g'(c) = 0.
So, differentiate the function. We can take the derivative of both sides with respect to x:
[tex]\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right][/tex]
Differentiate:
[tex]g'(x) = -21x^2+182x-280[/tex]
Let g'(x) = 0:
[tex]0 = -21x^2+182x-280[/tex]
Solve for x. First, divide everything by negative seven:
[tex]0=3x^2-26x+40[/tex]
Factor:
[tex]0=(x-2)(3x-20)[/tex]Zero Product Property:
[tex]x-2=0 \text{ or } 3x-20=0[/tex]
Solve for each case. Hence:
[tex]\displaystyle x=2 \text{ or } x = \frac{20}{3}[/tex]
Since the first solution is not within our interval, we can ignore it.
Therefore:
[tex]\displaystyle c = \frac{20}{3}[/tex]
Help me pleasee anyone
Suppose the line y = 2.8333x - 22.4967 describes the relation between the club-head speed (in miles per hour), x and the distance a golf ball travels (in yards), y.
(a) Predict the distance a golf ball will travel if the club-head speed is 100 mph.
(b) Suppose the observed distance a golf ball traveled when the club-head speed was 100 mph was 265 yards. What is the residual?
(c) The golf ball will travel 260.8 yards. (Round to the nearest tenth as needed.)
(d) The residual is:_________ (Round to the nearest tenth as needed.)
Answer:
c) The golf ball will travel 260.8 yards.
d) Hence the residual is 4.2 yards.
Step-by-step explanation:
c) y' = 2.8333x - 22.4967
Now the golf ball will travel [tex]= 2.8333\times100 - 22.4967[/tex]= 260.8 yards
here y'= 260.8 yards.
d) The residual is : y - y' = 265 - 260.8 = 4.2 yards.
Answer:
a) [tex]y=260.8333~yd[/tex]
b) [tex]\Delta d=4.1667~yd[/tex]
c) [tex]y=260~yd[/tex]
d) [tex]\Delta y'=0.8333~yd[/tex]
Step-by-step explanation:
Given:
equation of line, [tex]y=2.8333x-22.4967[/tex]
x = club-head speed (in miles per hour)
y = the distance a golf ball travels (in yards)
a)
x = 100 mph
Then the distance travelled by the ball:
(put the given value of x in the above eq.)
[tex]y=2.8333\times 100-22.4967[/tex]
[tex]y=260.8333~yd[/tex]
b)
If the observed distance in the above case comes out to be 265 yards then the residual value will be:
[tex]\Delta d=265-260.8333[/tex]
[tex]\Delta d=4.1667~yd[/tex]
c)
From the calculated value when rounding it to the nearest tenth:
[tex]y=260~yd[/tex]
d)
The residual on rounding the calculated value to the nearest tenth:
[tex]\Delta y'=260.8333-260[/tex]
[tex]\Delta y'=0.8333~yd[/tex]
Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that
represents this situation.
a.) d-22 28; d 50
b.) d - 22 > 28; d > 50
c.) d + 22 s 28; d s 72
d.) d + 22 28; d 272
Hi there!
»»————- ★ ————-««
I believe your answer is:
d – 22 ≥ 28
d ≥ 50
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}[/tex]
⸻⸻⸻⸻[tex]\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}[/tex]
⸻⸻⸻⸻
[tex]\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the value of X?
Answer:
x=2
Step-by-step explanation:
A line that intersects a circle in two points is called a secant line, and this is the case for both line DE and AE.
For two secant lines that intersect outside of the circle, such as the ones here, we can say that
CE * DE = BE * AE
Therefore, we need to then define these lines.
CE is x+4, BE is x+1, AE = (BE + AB) = 11+x+1 = 12+x, and DE = (CE + DC) = 1+x+4 = 5+x
We then have
(x+4) * (5+x) = (x+1) * (12+x)
expand
5x + x² + 20 + 4x = 12x+x²+12+x
x²+9x + 20 = x²+13x+12
Next, we want to congregate all values to one side so we can solve for x. This can be done by subtracting both sides by (x²+13x+12) to get
-4x + 8 = 0
subtract 8 from both sides to isolate the x and its coefficient
-4x = -8
divide both sides by -4 to isolate the x
x = 2
Edwin hiked to a famous point with a beautiful view. It took 2 hours and 55 minutes to hike to the viewpoint and 25 minutes to hike back. Edwin spent 25 minutes enjoying the view at the top. He finished the hike at 11:45 A.M. What time did Edwin start the hike to the viewpoint?
Answer:
= 8:00 A.M.
Step-by-step explanation:
▪You first find the total time taken which will be :
2 hrs 55 min + 25 min
= 3 hrs 20 min + 25 min
= 3 hrs 45min
▪ Beginning time = Arrival time - Time taken
= 11:45 - 3:45
= 8:00 am
¿
Can someone help please and thank you
Answer:
b
Step-by-step explanation:
C and D are complementary angles. Which of the following measures cannot be true
Om C= 30° and m D = 60°
Om C= 60° and m2D = 30°
Om C= 65° and m D = 35°
Om C = 55° and m D = 35°
Answer:
C= 65° and m D = 35°
this cannot be true
Step-by-step explanation:
a complementary angle adds up to 90°
65°+35°=100
90° =/= 100°
find the area of this shape
Please help me asap
Answer:
(1/2×6×8)+(π×4^2/2)
=49.12 ft^2
☆○☆○☆○☆○☆○
Hope it helps..
Have a great day!!!
Wait sorry ignore this I'm still getting used to brainly and I did the question wrong sorry
As displayed on a production possibilities curve, what will an increase in technology allow a society to do? a. Produce more, as long as the resources are also available. c. It will not affect society’s production. b. Produce less, because more resources are spent on developing technology. d. The society will spend more on the same level of production. Please select the best answer from the choices provided A
Answer:
a. Produce more, as long as the resources are also available
Step-by-step explanation:
from brainly itself
scouteo
Ace
The correct answer is A) produce more, as long as the resources are also available.
As displayed on a production possibilities curve, an increase in technology will allow a society to produce more, as long as the resources are also available.
A production possibilities graph is a valid representation of the available ways an economy is able to use the resources. In this case, an increase in technology will allow a society to produce more, as long as the resources are also available means that as long there are enough resources in the market, technology in a country helps with the production of more things to be consumed or traded.
13. What is the missing mumber in the input-output table below?
Input
3
5
?
17
Output
16
22
31
58
A. 8
C. 11
B. 9
D. 14
Answer:
Hello,
Answer A
Step-by-step explanation:
Since there are 4 inputs and 3 are known
we shell try a function like y=ax²+bx+c
So we have to resolve the system
[tex]\left \{\begin{array}{cccc}9a+3b+c&=&16\\25a+5b+c&=&22\\289a+17b+c&=&58\\\end{array}\right.\\\\\\\left \{\begin{array}{cccc}a&=&0\\b&=&3\\c&=&7\\\end{array}\right.\\\\[/tex]
We have to try:
0*x²+3*x+7=31
3x=24
x=8
The range of cells in column D and rows 1 to 10 is represented as:
1:10 D1:D10 D:D
Answer:
how?
Step-by-step explanation:
I didnt get question
nolan uses 7 inches of string to make each bracelet. if nolan makes 3 bracelets, how many inches of string will he use?
Answer:
21 inches
Step-by-step explanation:
We can write a ratio to solve
7 inches x inches
------------- = -------------------
1 bracelet 3 bracelets
Using cross products
7*3 = 1x
21 = x
21 inches
Answer:
21 inches
Step-by-step
This can be solved two ways: addition or multiplication.
Addition: Since there are three bracelets you could add 7 three times
7+7+7
= 14+7
= 21
Multiplication: Simply multiply 7 x 3= 21
i know it’s kinda all hard to see. i have many more questions like this and i can’t do graphs to save my life.. pls help !!
Answer: D
Step-by-step explanation:
Help Now Pleaseee!!!!
Find the volume of the sphere
Answer:
7235 using 3.14 for pi
7238 using the pi button
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 pi (12)^3
V = 2304pi
Letting pi = 3.14
V = 7234.56 and rounding to a whole number
V = 7235
Using the pi button
V =7238.22947 and rounding to a whole number
V = 7238
Answer: 7238
Step-by-step explanation:
The formula used is 4/3πr³
Now let's substitute the radius: 12
4/3πr³
=4/3×π×12³
=4/3×π×1728
=7238.22947
but since we are rounding it to the nearest whole number the answer would be 7238
The polygons in each pair are similar. Find the missing side length
Answer:
24 is the answer because 18/3=6 6x4 is 24
what is the measure of m?
Answer:
[tex]n^{2} +18^{2} =x^{2}[/tex]
[tex]6^{2} +x^{2} =m^{2}[/tex]
[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]
[tex]m^{2} =n^{2} +360[/tex]
[tex]n^{2} +36=m^{2}[/tex]
[tex]m=15[/tex]
OAmalOHopeO
Which situation does the graph illustrate?
Answer:
eju 48, 23w6yuw43wdgn
Step-by-step explanation: