Answers
Answer:
[tex]\text{A. The zeroes are 8 and -4, because }y=(x-8)(x+4)[/tex]
Step-by-step explanation:
[tex]x^2-4x-32=0,\\(x-8)(x+4)=0,\\\begin{cases}x-8=0, x=\boxed{8},\\x+4=0, x=\boxed{-4}\end{cases}[/tex]
Related Questions
72. Linear Speed. A wheel with a 30-cm radius is rotat- ing at a rate of 3 radians / sec. What is the linear speed of a point on its rim, in meters per minute?
Answers
========================================================
Explanation:
Let's find the circumference
C = 2*pi*r
C = 2*pi*30
C = 60pi
This is the exact circumference in terms of pi.
In one revolution, the point on the wheel moves forward exactly 60pi cm.
In a sense, it's "speed" is 60pi cm per revolution.
----------------
Let's convert that speed to meters per minute as shown in the diagram below (I'm using the railroad tracks method to convert).
Note the color coding to see how the units cancel. The goal is to get meters on top and minutes down below. Also note how the "pi" terms cancel since we have on top and one down below.
After the canceled stuff goes away, we multiply straight across.
Multiplying the values across the top gives: 60*3*1*60*1 = 10800Multiplying across the bottom gives: 1*1*2*1*100 = 200Divide the results: 10800/200 = 54
The linear speed is 54 meters per minute
This speed is exact because the 60pi figure is the exact circumference
This is the speed the point on the wheel moves, and we can say that the car itself also moves at a linear speed of 54 meters per minute.
Side note: 54 meters per minute = 2.013 mph approximately, which is a fairly slow walking speed.
Https://imgur.com/a/n3PRcMY
Answers
20 = 2x.
That means x = 10
2. Easy now that u have x. Angle 1 is 3x + 10, which means its 3(10) + 10 which is 40
State if the two triangles are congruent.
Answers
Answer:
The triangles are congruent by HL
Step-by-step explanation:
The triangles are right triangles so we can use either HL ( hypotenuse leg) or LL (leg leg) if we know that two sides are congruent
We know one leg is equal to the other by the red line. The hypotenuse is the same since it is the same line.
The triangles are congruent by HL
What percent of 602 is 358?
Answers
Answer:
168.16%
Step-by-step explanation:
Cleiton vai participar de uma maratona e para isso treina diariamente correndo 7 km. No final de três semana quantos quilômetros terá percorrido?
Answers
Answer:
Number of kilometer he run in 3 week = 147 kilometer
Step-by-step explanation:
Given:
Cleiton's daily run = 7 km
Find:
Number of kilometer he run in 3 week
Computation:
Number of days in a week = 7
Number of days in 3 week = 7 x 3
Number of days in a week = 21 days
Number of kilometer he run in 3 week = Cleiton's daily run × Number of days in a week
Number of kilometer he run in 3 week = 7 × 21
Number of kilometer he run in 3 week = 147 kilometer
Please help first real answer will get brainliest
Answers
Answer:
6
Step-by-step explanation:
a1(n-1) + D
d = 6
8 books cost 11.20. Find the cost of 5 books
Answers
First of all we have to find the cost of a book then multiply it by 5 :
$ 11.20 ÷ 8 = $ 1.4
$ 1.4 × 5 = $ 7
Thus 5 books have a cost of $ 7 .
Answer:
The cost of 5 books is $7
Step-by-step explanation:
If there are 8 books and you need to find the cost of 5, you need to first find the cost for one book.
If 8 books cost 11.20.
11.20 ÷ 8 = 1.40
1.40 is the cost of one book
1.40 x 5 = 7
So the cost of 5 books is $7
I tried my best to explain
Will mark brainliest
Answers
Answer:
350
Step-by-step explanation:
which of the following is equivalent to squareroot 8?
Answers
Answer:
2√2
Step-by-step explanation:
I need help with can you guys show me the work.
Answers
Answer:
Δy = 30 ft.
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 17.5°
Hypothenus = 100 ft
Opposite = Δy =?
The value of Δy can be obtained by using sine ratio as follow:
Sine θ = Opposite / Hypothenus
Sine 17.5 = Δy / 100
Cross multiply
Δy = 100 × Sine 17.5
Δy = 30 ft
Point slope form equations can be converted into slope intercept form. Distinguish whether the following
equations are the equations of the same line. Prove and explain your answer. Show your work for your
teacher to review.
y+ 1 = 5(x + 2) and y = 5x + 10
PLEASE HELP IM LITERALLY DYING
Please help I will give brainlist
Answers
Answer:
they are NOT the same
Step-by-step explanation:
y+ 1 = 5(x + 2) is y = 5x + 9
distribute the 5 and get 5x + 10
when you subtract the 1 from both sides the 10 becomes a 9
Y-intercept = 5
Slope = 3
Answers
Answer:
the equation as intercept form is
y = 3x + 5
Select the FOUR equations that are equivalent to 2(x+3)−2=16.
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
B (x+3)−2=8open paren x plus 3 close paren minus 2 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
D x+3=9x plus 3 is equal to 9
E 2x=122 x is equal to 12
F 2x=15
Answers
Answer:
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
E 2x=122 x is equal to 12
Step-by-step explanation:
Given:
2(x+3) − 2 = 16
2x + 6 - 2 = 16
2x = 16 - 6 + 2
2x = 12
x = 12/2
x = 6
A. (x+3)−1=8
x + 3 - 1 = 8
x = 8 - 3 + 1
x = 6
B (x+3)−2=8
x + 3 - 2 = 8
x = 8 - 3 + 2
x = 7
C 2(x+3)=18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 12/2
x = 6
D x+3=9x
3 = 9x - x
3 = 8x
x = 3/8
E 2x=12
x = 12/2
x = 6
F 2x=15
x = 15/2
x = 7 1/2
32% of a number is 64 what is the number
Answers
Answer:
If you take 32 percent of a number and get 64, then what is that number? In other words, you know that 32 percent of a number is 64 and you want to know what that initial number is. Therefore, the answer to "64 is 32 percent of what number?" is 200, and you can also derive that 32 percent of 200 equals 64.
Step-by-step explanation:
200
Step-by-step explanation:
32% x = 64
(32/100)x= 64
0.32x=64
x=64÷0.32
x=200
Find the x-intercepts of the parabola with
vertex (1,20) and y-intercept (0,16).
Answers
Answer:
Step-by-step explanation:
Since we are finding the x-intercepts, that implies that this is a parabola that opens either up or down as opposed to right or left. It would benefit us to know the equation of the parabola so we could factor it to find the roots (which are also known as the x-intercepts).
Here's what we know:
h = 1, k = 20, x = 0, and y = 20. Filling in the vertex form of a parabola is already halfway to factored, so we'll use that format as opposed to the standard form, which is
[tex]y=ax^2+bx+c[/tex]. The vertex form is
[tex]y=a(x-h)^2+k[/tex] and filling in our values from above:
[tex]16=a(0-1)^2+20[/tex] and
[tex]16=a(1)+20[/tex] and
-4 = a. So the equation for the parabola is
[tex]y=-4(x-1)^2+20[/tex]. Now set it equal to 0 and factor.
[tex]-20=-4(x-1)^2[/tex] and divide both sides by -4 to get:
[tex]5=(x-1)^2[/tex] and take the square root of both sides to get
±[tex]\sqrt{5}=x-1[/tex] and then add 1 to both sides to get the x-intercepts (or roots or solutions or zeros...they're all the same).
x = 1 ±√5 and you're done!
a right cone with base circumference 14 pi ft
and slant height 3 times the radius. Give answer in terms of pi
Answers
the answer is a batty fish with a Somali forehead
1. If NK = 7 and KL = 15, find NL.
2. If m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°, find x.
Answers
Answer:
NL = 13.26
x = 9.5
Step-by-step explanation:
Find the diagram attached
1) Given that NK = 7 and KL = 15
NL² = KL² - NK²
NL² = 15² -7²
NL² = 176
NL = 13.26
2) Given that m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°
From the rhombus;
m<JML = 120 degrees
m∠JMK + m∠LMK = m∠JML
8x-13 + 4x +19 = 120
12x + 6 = 120
12x = 120-6
12x = 114
x = 114/12
x = 9.5
Hence the valle of x is 9.5
Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:
Answers
Answer:
[tex]x =24[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the blanks
1: Set up the proportion:
[tex]\frac{9}{6} = \frac{x}{16}[/tex]
2: Use cross product:
[tex]9(16)=6x[/tex]
3: Simplify:
[tex]144 = 6x[/tex]
4: Divide:
[tex]144/6 = 6x/6[/tex]
[tex]24 = x[/tex]
[tex]x =24[/tex]
Answer: 4 cm
Step-by-step explanation:
Olivia went to a dance party. She paid $12 as an entry fee. Once inside the dance party, she paid $2 per snack. She started the night with $30 and spent all her money.
write an equation that represents this situation?
Pls help
Answers
Answer:
30-12=18
18-18=0
Step-by-step explanation:
2x + 12 = 30
X represents the snacks, 2 represents the $2 per snack, 12 represents the $12 entry fee, and 30 represents the $30 Olivia had.
The area of a rectangle is (x^3 - 5x^2 + 3x - 15), and the width of the rectangle is (X2 + 3). If area = length x width, what
is the length of the rectangle?
Answers
Given:
Area of a rectangle = [tex]x^3-5x^2+3x-15[/tex]
Width of rectangle = [tex]x^2+3[/tex]
To find:
The length of the rectangle.
Solution:
The area of a rectangle is:
[tex]A=l\times w[/tex]
Where, l is length and w is the width.
It is can be written as:
[tex]\dfrac{A}{w}=l[/tex]
[tex]l=\dfrac{A}{w}[/tex]
Putting [tex]A=x^3-5x^2+3x-15[/tex] and [tex]w=x^2+3[/tex], we get
[tex]l=\dfrac{x^3-5x^2+3x-15}{x^2+3}[/tex]
[tex]l=\dfrac{x^2(x-5)+3(x-5)}{x^2+3}[/tex]
[tex]l=\dfrac{(x^2+3)(x-5)}{x^2+3}[/tex]
[tex]l=x-5[/tex]
Therefore, the length of the rectangle is [tex]x-5[/tex].
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
4x5 + 3x3 – 7x
Answers
Answer:
Name:- Trinomial
Degree:- 5 [ the highest power of x is 5 ]
hope it is helpful to you
are the triangle similar
1-yes
2-no
Answers
Step by Step Explanation:
This is because the interior angle of any triangle adds up to 180 degrees. If two angles of the triangles are equal in the same angle, such as angles GOT and NUF are both 97. Additionally it can be pictured that if the triangle TOG were to be flipped 180 degrees, it would resemble triangle FUN
Answer:
yes the triangle are similar
What’s a converse in mathematics
Answers
Answer:
A converse is the result of reversing its two constituent statements.
Example, P-Q. Converse would be Q-P
PLEASE HELP! Urgent I'll give brainliest if answer is right tysm.
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.35 Newtons when the distance between the objects is 8 metres.
Work out F (rounded to 2 DP) when d=7 metres.
Answers
Sorry for the wrong answer
Answer:
0.46 Newtons
Step-by-step explanation:
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
f = k/d²
--------------------------------
to determine k use The force is 0.35 Newtons when the distance between the objects is 8 metres.
0.35 = k/8²
0.35 = k/64
multiply both sides by 64
22.4 = k
---------------------------
Work out F (rounded to 2 DP) when d=7 metres.
f = 22.4/7²
f = 22.4/49
f = 0.46
(12 points)Please I need this answer right away multiple-choice answer trolls will be reported thank you lovesss
Hopefully one if you can help me And explain
Answers
Answer:
It's A
Step-by-step explanation:
B is out, because each step increases the value linearly by 1
C is out, because each step increases the value linearly by 9
D is out, because each step increases the value linearly by 6
A increases fivefold per step
I plotted the given ordered pairs as points on a plot and figured out the exact function for you, just so that you can look at it
how many miles from the runaway airplane at the start of this approach.
Answers
Answer:
it should be 41 ml I think.
Find the solution(s) to the system of equations represented in the graph.
A. (0, 3) and (3, 0)
B. (0, 3) and (−3, 0)
C. (0, −3) and (3, 0)
D. (0, −3) and (−3, 0)
Answers
Answer:
(-3,0) and (0,3)
Step-by-step explanation:
The solution to the system of equation is where the two graphs intersect
The intersect at two points
(-3,0) and (0,3)
Find the radius r of the circle. Round your answer to the nearest tenth.
M.
60°
N
10.2 yd
ס
ra
yd
Answers
First off we need to use the formula S = rΘ
S - is the arc length
Θ - is theta which is the radian measure
r - is the radius
In this problem we need to find r
So, our equation would look like:
S ÷ Θ = r
Before we solve though, we need to convert the degrees to radians:
To convert from degrees to radians, multiply the degrees by π/180° radians:
60 x π/180 = 1.0472
If you input the numbers you get:
10.2 / 1.0472 = 9.740
The radius is 9.7 yards.
give me the factors of 30
Answers
Answer: 1,2,3,5,6, and 10
Step-by-step explanation:
I will give anyone who can give me the right answer to the Brainist! I really need an answer!
Answers
Answer:
a. 49 ft (nearest ft)
b. 24.5 sec
Step-by-step explanation:
a. work out TOP
[tex] \sqrt{ {45}^{2} + {20}^{2} } \\ = 49.24 \\ = 49[/tex]
b.
[tex] \frac{49}{2} \\ = 24.5[/tex]
divide by 2 coz its 2 ft per second. so 49 ft for 24.5 sec
Answer:
49 feet
25 seconds
Step-by-step explanation:
use the pythagorean theorem
a² + b² = c²
20² + 45² = c²
400 + 2,025 = c²
2425 = c²
Take the square root of both sides
c = 49.244289009
Rounded
49 feet
------------------------
time
t = 49 /2
t = 24.5 seconds
Rounded
25 seconds
