Answer:
Rotate Each dot in the proper way each right angle is 90 Degrees
Step-by-step explanation:
Rotate the Coordinates
pretty simple
Help!!!!!! Triangle ABC and DEF are similar.
What is the scale factor?
Answer:
1.66666666667
Step-by-step explanation:
4/2.4 = 1.66666666667
All you do is choose two lenghts and divide to see what factor was used for the dilation.
What is the slope of a line perpendicular to the line whose equation is
4x – 3y = –27. Fully reduce your answer.
Answer:
-3/4
Step-by-step explanation:
We can rearrange the equation to get 3y = 4x + 27. Then we can find the slope intercept form: y = 4x/3 +9. You find the perpendicular slope by solving for the opposite and reciprocal of the current slope 4/3. So we would get -4/3, and then -3/4.
please answer this. ty
Answer:
its 1
Step-by-step explanation:
Please help me! For algebra 2 class. 45 points!
Using the Fundamental Theorem of Algebra, complete the following exercises. Show your work.
Determine how many, what type, and find the roots for f(x) = x4 + 21x2 − 100.
Determine how many, what type, and find the roots for f(x) = x3 − 5x2 − 25x + 125.
The following graph shows a seventh-degree polynomial:
(see attachment)
Part 1: List the polynomial’s zeroes with possible multiplicities.
Part 2: Write a possible factored form of the seventh degree function.
Without plotting any points other than intercepts, draw a possible graph of the following polynomial:
f(x) = (x + 8)3 (x + 6)2 (x + 2)(x − 1)3 (x − 3)4 (x − 6).
Answer:
1) There are four roots, with two real and two imaginary roots
The roots are x ±2, ±5·i
2) Therefore, there are 2 roots
The roots are real
The roots are x = -5 and x = 5
3) The possible factored form is therefore; (x + 5)²×(x + 1)×(x - 4)³×(x + 7)
4) Please see the attached graph of the function drawn with Microsoft Excel
Step-by-step explanation:
1) The given equations is as follows;
f(x) = x⁴ + 21·x² - 100
Let a = x², we have;
f(x) = a² + 21·a - 100
a = (-21 ± √(21² - 4 × 1 ×(-100))/(2 × 1)
a = -25 or 4
Therefore, x = √4 = ±2 or x = √(-25) = ±5·i
There are four roots, with two real and two imaginary roots
2) For f(x) = x³ - 5·x² - 25·x + 125
We have;
f(x) = x³ - 5·x² - 25·x + 125
From the equation, we see that x = 5 is a solution of the equation, therefore;
f(5) = 5³ - 5·5² - 25·5 + 125 = 0
Which gives, (x - 5) is a factor of the equation,
Dividing x³ - 5·x² - 25·x + 125 by (x - 5) gives;
x² - 25
(x³ - 5·x² - 25·x + 125)/(x - 5)
x³ - 5·x²
[tex]{}[/tex]- 25·x
[tex]{}[/tex] -25·x + 125
[tex]{}[/tex] 0 + 0
Therefore, by long division, (x³ - 5·x² - 25·x + 125)/(x - 5) = x² - 25
(x - 5)×(x² - 25) = (x - 5) × (x - 5) × (x + 5)
Therefore, there are 2 roots
The roots are real
The roots are x = -5 and x = 5
3) From the polynomial zeros, we have x = -5, x = -1, x = 4, and x = 7
At x = -5 the polynomial touches the x-axis given two real roots with (x + 5)² being a factor
With the root at x = -1, a factor is (x - 1)
With the root at x = 4 which has the shape of a cubic function, we have a factor of (x - 4)³
For the root at x = 1, the factor is taken as (x + 7)
The possible factored form is therefore; (x + 5)²×(x + 1)×(x - 4)³×(x + 7)
4) The given function is therefore;
f(x) = (x + 8)³(x + 6)²(x + 2)(x - 1)³(x - 3)⁴(x - 6)
(x + 8)³(x + 6)²(x + 2)(x - 1)³(x - 3)⁴(x - 6)
Please see the attached graph of the function drawn with Microsoft Excel
I NEED HELP WITH BUMBER 3 PLEASE ASAP ILL LOVE U FOR EVER AND IF YOU CANT SEE THE WORDS VERY WELL THAN U CAN JUS ZOOM IN
Answer: i can't see it sorry to blery
Step-by-step explanation:
evaluate using the values given :
3 pm; use m = 4, and p = 3
Answer:
36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3pm
m = 4
p = 3
Step 2: Evaluate
Substitute: 3(3)(4)Multiply: 9(4)Multiply: 36Transformations of functions and domain
by looking at the graph given we can see that:
The graph is decreasing in (-∞, -5]The graph is increasing in [5, ∞)And the function is never constant.
How to determine in which intervals the function increases, decreases or is constant?
Here our function is:
f(x) = √(x^2 - 25)
And we have a graph of it.
First, remember that the argument of a square root needs to be zero or larger, so the interval (-5, 5) is not in the domain of our function.
We also can see that this is a square root, so there are no interval where the function is constant.
Finally, by looking at the graph given we can see that:
The graph is decreasing in (-∞, -5]The graph is increasing in [5, ∞)If you want to learn more about domains:
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Which expression could be used to determine the product of -4 and 342
o(-4)(3)(-4)
x (
0 (-4)(3) + (-4)
0 %)(-4)=(3 ()
(3)(-4) + (3)
Answer:
the second answer
Step-by-step explanation:
.........
Suppose x = 9 is a solution to the equation f(x) = g(x). If a table of values for the equation y = f(x) contains an x-value of 9 and a corresponding y-value of 18, then which of these statements is correct about a table of values for the equation y = g(x)?
A
If it contains an x-value of 9, the corresponding y-value must be 9.
B
If it contains an x-value of 9, the corresponding y-value must be 18.
C
If it contains a y-value of 18, the corresponding x-value must be 9.
D
If it contains a y-value of 18, the corresponding x-value must be 18.
Answer:
I think it may be A
Step-by-step explanation:
4 cups of peanut butter is needed to make 80 cookies how many cups of peanut butter would be needed to make 400 cookies
Answer:
20 Cups of peanut butter
Step-by-step explanation:
You take 400 divided by 80, which would give you 5, multiply that by the number of cups (4x5) and you final answer will be 20.Answer:
20 cups
Step-by-step explanation:
80 cookies are made by 4 cups
which means 1 cookie is made by
[tex] \frac{4}{80} cups[/tex]
Therefore 400 cookies would require
[tex]400 \times \frac{4}{80} cups = 20cups[/tex]
Please mark me brainliest
the accompanying histogram shows the heights of the students in kyra's health class. what is the total number of students in the class
The total number of students is equal to 16 students.
We are given that the accompanying histogram shows the heights of the students in Kyra's health class.
A histogram is a graph that shows the frequency of numerical data with the help of rectangular bars.
The height of a rectangle (the vertical axis) represents the distribution frequency of a variable ( amount).
We need to calculate the total number of students in the class.
We can see that for the first interval, the frequency is given as:
F1 = 2
For the 2nd interval, the frequency is given as:
F2 = 4
For the 3rd interval, the frequency is given as:
F3 = 5
For the 4th interval, the frequency is given as:
F4 = 4
For the 5th interval, the frequency is given as:
F5 = 1
The total students = 2 + 4 + 5 + 4 + 1
Total number of students = 16 students.
Therefore, the total number of students is equal to 16 students.
Learn more about histogram here:
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my teacher tried to explain this to me but im still confused
600 mL corresponds to 15 teaspoons of sugar
That gives the ratio 600:15
Divide both parts of that ratio by 3 so we get to 200:5
Then multiply both parts by 10 to get 2000:50
This says 2000 mL, aka 2 liters, of soda has an estimated 50 teaspoons of sugar.
To convert from teaspoons to grams, we multiply by 4. This is directly from the equation of 1 teaspoon = 4 grams of sugar
So 50 teaspoons = 50*4 = 200 grams of sugar.
To go from grams to teaspoons, we divide by 4.
-----------------
To find the actual amount of sugar, you'll need to find a 2 liter bottle of soft drink and look at the nutrition facts label. You can search for the nutrition facts label online if you don't have a bottle near you. Keep in mind you're looking for the 2 liter plastic bottle version and NOT the 12 fluid-ounce can version.
Also, keep in mind that the nutrition facts label will list the amount of sugar per serving. This isn't the total sugar since it's just a small portion. Multiply the number of servings by the amount of sugar per serving.
Example: If there are 7 servings and 20 grams of sugar per serving, then that's a total of 7*20 = 140 grams of sugar total.
Side note: the amount of sugar will vary from brand to brand. However, they should all be in the same basic ballpark.
The function p(t)=3(2)t represents the population of a certain type of bacteria after t days what is the population of the bacteria after 5 days
Answer:
p(5) = 30
Step-by-step explanation:
p(t) and if t=5 then p(5)
p(5) = 3(2)(5)
p(5) = 6(5)
p(5) = 30
Hope this helps and I hope u have an Amazing day!!
Unit rate of $99 for 15 movies
Answer:
6.60$ dollars per movie
Step-by-step explanation:
99/15=6.6
Answer:
$6.60
Step-by-step explanation:
[tex]\frac{99}{15}[/tex] = 6.60
2x – 3y = 15
-2x + y = -1
Answer: -y=7
Explanation:
Think of your problem as subtraction:
2x-3y+15
-2x+3y=-1
Easy math problems!!!!!!!!
Answer:
2√23
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. Therefore, we can use PT to solve for the missing length.
Step 2: Identify Variables
Leg a = √88
Leg b = 2
Hypotenuse c = x
Step 3: Solve for x
Substitute: (√88)² + 2² = x²Exponents: 88 + 4 = x²Add: 92 = x²Isolate x: √92 = xSimplify: 2√23 = xRewrite: x = 2√23Answer:
Mm did you do this already its been 4 days just want to make sureee
Step-by-step explanation:
Solve Ax − By = C for x
What is the equation, in slope-intercept form, of a line that passes through the points (-2, 4) and (3, -1)?
Answer:
Step-by-step explanation: The equation of the line passing through the points (2, –1) and (5, –10) is y = -3x + 5 .Jun 9, 2017
Will give you brainliest
Answer:
x = 36°
Step-by-step explanation:
m<RST + m<TSV = m<RSV
m<RST = 5x + 5
m<TSV = 46
RSV = 232
Plug in these values
5x + 5 + 46 = 232
5x + 51 = 232
5x = 181
x = 36.2, if rounding down;
x = 36°
Find the slope of the line that passes through
(19,-2) and (-11, 10)
Slope = change in y / change in x
Slope = (10 - -2) / (-11 - 19)
Slope = 12/-30
Simplify to get:
Slope = -2/5
Write the expression in simpliest form WILL GIVE GIVE BRAINLIEST
5 ( x - 1)
Answer:
5x-5
Step-by-step explanation:
pls give brainliest
Answer:
5x − 5
Step-by-step explanation:
Multiply x by 5, which will give you 5x
Then multiple 1 by 5, you get 5.
You end up with 5x - 5
please help before it’s too late lol
Answer:
15625
Step-by-step explanation:
To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.
Calculate 5 to the power of 6 and get 15625.
Consider the matrices. What is the product of matrix PQ?
Answer:
Step-by-step explanation:
P = [tex]\left[\begin{array}{ccc}2&7\\3&0\\5&4\\-1&-3\end{array}\right][/tex]
Q = [tex]\left[\begin{array}{ccc}-4\\-3\end{array}\right][/tex]
PQ = [tex]\left[\begin{array}{ccc}2(-4)+7(-3)\\3(-4)+0(-3)\\5(-4)+4(-3)\\-1(-4)+(-3)(-3)\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-29\\-12\\-32\\13\end{array}\right][/tex]
solve the equation
x^2+18x+81=25
Answer:
(x+9)(x+9)=25
Step-by-step explanation:
x^2+18x+81=25
or x^2+(9x+9x)+81=25
or x^2+9x+9x+81=25
or x(x+9)+9(x+9)=25
:: (x+9) (x+9) =25
Aimee tossed a coin and spun a spinner that is divided into 3 equal sections. She did this 50 times.What is the experimental probability that the next time Aimee tosses the coin and spins the spinner she will get a Tails and a 2?
Answer:12.5 times out of 50
Step-by-step explanation:think about it add tails and 2
PLEASE ANSWER I NEED IT ASAP WILL AWARD BRAINLIEST AND GIVE POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
For 9:
1. Angle T and angle M are congruent because they are given
2. The line AH bisects angle THM because it is given
3. Angle 1 and angle 2 are congruent because of properties of angle bisection
4. The line AH is congruent to the line HA because of the reflexive property
5. Triangle TAH is congruent to triangle MHA because of AAS
6. The line TA is congruent to MA because of congruent triangles
For 10:
1. Angle H and angle J are congruent because it is given
2. G is the midpoint of FI because it is given
3. Angle 1 and angle 2 are congruent because they are vertical angles
4. Line HG is equal to line JG because of properties of midpoints
5. The triangles HIG and JFG are congruent because of AAS
6. The lines HI and JF are congruent because of congruent triangles
Helpppppp
And elephant's heart beats 28 times per minute. Complete
the product to find how many times its heart beats in 30
minutes.
beats X
minutes =
beats
1 minute
1
Answer:
840 beats in 30 minutes
Step-by-step explanation:
if its 28 a minute than you just need to multiply that by the number of minutes
There are 10 crustaceans and 25 fish the deep blue tank has the same ratio of crustaceans to fish. There are 50 crustaceans in the deep blue tank.
Answer:
125
Step-by-step explanation:
C : F
10: 25
×5: ×5
50: ?
No. of fish in the tank = 25 × 5
= 125
3. Stamps are sold in a 10 by 10 sheet. The total value of a sheet of stamps is $60.00.
a) Express the number of stamps as a power and in standard from
Answer:
There is a total of 100 stamps, or 10² stamps.
Explanation:
10•10=100 (standard form)
100 can be written as 10² in scientific notation (power)
Which of the following is divisible by 3?
Answer:
108 and 150
Step-by-step explanation:
108/3=36
150/3=50