Answer: B. The triangle in question is a right triangle.
Reason:
The sides are
a = 3b = 4c = 5Plug them into the equation below and simplify both sides
[tex]a^2+b^2 = c^2\\\\3^2+4^2 = 5^2\\\\9+16 = 25\\\\25 = 25\\\\[/tex]
Therefore, we have a right triangle. For more information, check out the converse of the pythagorean theorem.
HELP PLEASE!!!!!!!! 25 POINTS !!!1
Answer:
[tex]\sf x^2 + \boxed{\sf 5} \ x - \boxed{\sf 14}[/tex]
Explanation:
Given zero's of a polynomial function:
2 and -7Function's:(x + 7) (x -2) = 0x² + 7x - 2x - 14 = 0x² + 5x - 14 = 0Answer:
y = x² + 5x - 14
Step-by-step explanation:
If the zeros of a polynomial are 2 and -7, then:
⇒ x = 2 ⇒ (x - 2) = 0
⇒ x = -7 ⇒ (x + 7) = 0
Therefore, we can write the polynomial as:
y = a(x - 2)(x + 7) where a is some constant
As the first term of the given polynomial is x², we can say that its coefficient is 1. Therefore, a = 1
⇒ y = 1(x - 2)(x + 7)
⇒ y = (x - 2)(x + 7)
To write the polynomial in standard form ax² + bx + c
simply expand the brackets:
⇒ y = (x - 2)(x + 7)
⇒ y = x² + 7x - 2x - 14
⇒ y = x² + 5x - 14
The radius of a circle is 9 centimeters. Enter the circumference of the circle, in centimeters
Round your answer to the nearest hundredth.
Answer:
56.52 cm
Step-by-step explanation:
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Fatoumata sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
7 visitors purchased no costume.
143 visitors purchased exactly one costume.
16 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase no costume as a fraction in simplest form.
The probability that the next person will purchase no costume is 7/166 if the 7 visitors purchased no costume.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Total number of visitors = 7+143+16 = 166
Number of visitors purchased no costume = 7
The probability that the next person will purchase no costume:
= 7/166
Thus, the probability that the next person will purchase no costume is 7/166 if the 7 visitors purchased no costume.
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Determine the correct path energy follows when using coal or oil to produce electricity.
A. Boiler to Turbine to Generator to Power lines
B. Power lines to Generator to Boiler to Turbine
C. Turbine to Boiler to Power lines to Generator
D. Generator to Turbine to Power lines to Boiler
The path to convert coal into electricity is Boiler to Turbine to Generator to Power lines, the correct option is A.
What are Fossil Fuels?Those fuels which have originated from decayed plants and animals over a long period of time are called Fossil fuels.
The correct path energy follows when coal or oil is burnt to produce electricity is
When coal is fired the heat is used to convert water into steam in a boiler.
The steam at high pressure is sent to turbines.
The steam spins the generator to produce electricity which is then sent to the power lines.
Therefore, the correct path is mentioned in option A.
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What fraction is equal to 212?
Answer:
4/8
Step-by-step explanation:
If 1.5 yards of red licorice has 45.3 grams of sugar how much sugar is in 5.5 yards of licorice
Answer:
There is 166.1 grams of sugar in 5.5 yards of licoroce
Step-by-step explanation:
If 1.5 yards of licorice = 45.3 grams of sugar
5.5 yards of licorice = x
Cross multiply:
45.3grams * 5.5yards / 1.5yards
= 249.15 grams/yards / 1.5yards
= 166.1 grams of sugar
Please solve this question for Algebra 2
[tex]\text{Given that,}~f(x) = 3x^2 -15~~ \text{and}~~ g(x) = 1- \dfrac 23 x\\\\(f \circ g)(-6)\\\\=f(g(-6))\\\\=f\left(1- \dfrac 23\cdot (-6)\right)\\ \\=f(1+4)\\\\=f(5)\\\\=3(5)^2 -15\\\\=75 -15\\\\=60\\\\\text{Hence the answer is B.}[/tex]
the following histogram shows the number of days during the school year that students bought lunch. How many total students are at the school?
Assuming the cube and the coin are fair, find the theoretical probability of this event: both
rolling a 3 or a 5 and flipping heads, in a single trial. Round your answer to the nearest
thousandth.
Answer:
1/6
Step-by-step explanation:
cube = 1 in 6
coin = 1 in 2
3 or 5 = 2 in 6
1 in 3
1 in 3 x 1 in 2 = 1 in 6
1/6
(a) If f : x 3x + b and f(2) 12, find the value of b
F(2) means the value of x is 2. Replace x with 2 then solve for b:
3(2) + b = 12
6 + b = 12
Subtract 6 from both sides
B = 6
answer: b = 6
The relationship between PLS ANSWER ASAP MARKING BRAINSLEST
Since ∠A and ∠B forms a straight line, ∠A and ∠B are a linear pair.
Linear pair:
A linear pair is the sum of two angles that forms a straight line (180°).
⇒ ∠A + ∠B = 180°
Measure of ∠A:
Subtract the measure of ∠B from 180 to determine the measure of ∠A.
⇒ ∠A = 180 - ∠B
Measure of ∠B:
Subtract the measure of ∠A from 180 to determine the measure of ∠B.
⇒ ∠B = 180 - ∠A
*Let us take a few examples to understand the concept better.
Example (Given measure of ∠B):Let the measure of ∠B (In the triangle shown) be 105°.
What is the measure of ∠A?
Solution:
Substitute the measure of ∠B in the equation ∠A = 180 - ∠B:
⇒ ∠A = 180 - ∠B⇒ ∠A = 180 - 105Simplify the equation:
⇒ ∠A = 180 - 105⇒ ∠A = 75°Therefore, the measure of ∠A is 75°.
Example (Given measure of ∠A):Let the measure of ∠A (In the triangle shown) be 60°.
What is the measure of ∠B?
Solution:
Substitute the measure of ∠A in the equation ∠B = 180 - ∠A:
⇒ ∠B = 180 - ∠A⇒ ∠B = 180 - 60Simplify the equation:
⇒ ∠B = 180 - 60⇒ ∠B = 120°Therefore, the measure of ∠B is 120°.
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please help me in this question please
Answer:
x = 18
Step-by-step explanation:
the square on the angle means the angle is 90 degrees
4x + x = 90
5x = 90
x = 18
Answer:
[tex]\boxed{\bf x = 1 {8}^{o} }[/tex]
Step-by-step explanation:
In the given figure....
[tex]\boxed{\bf m\angle BOA = 9 {0}^{o}} [/tex]
[tex]\bf m\angle BOA + m\angle COA = 9 {0}^{o} [/tex]
[tex]\bf 4x + x = 9 {0}^{o} [/tex]Combine like terms. 4x + x = 5x
[tex]\bf 5x=90[/tex]Divide both sides by 5.
[tex]\bf \cfrac{5x}{5} = \cfrac{90}{5} [/tex][tex]\boxed{\bf x = 1 {8}^{o} }[/tex]find maclaurin series
Recall the series expansion of the exponential function,
[tex]\displaystyle e^x = \sum_{n=0}^\infty \frac{x^n}{n!}[/tex]
By comparison, the given sum is [tex]e^x[/tex] evaluated at x = ln(2), so
[tex]\displaystyle 1 + \ln(2) + \frac{\ln^2(2)}{2!} + \cdots = \sum_{n=0}^\infty \frac{\ln^n(2)}{n!} = e^{\ln(2)} = \boxed{2}[/tex]
A car is moving at a speed of 50 km/hour. The driver takes her foot off of the accelerator and the car coasts to a stop. Why? A) No acceleration means no movement. B) Energy is no longer being transformed. C) Without an external energy source, friction stops the car. D) All the kinetic energy is converted to potential energy or energy of position.
C) without an external energy source, fiction stops the car
Sure hope this helps you
Answer:
C
Step-by-step explanation:
The friction stops the car because there is no more energy pushing the car forward. Also this should be in the science section.
A particle’s beginning location is represented by the vector Vector m = LeftAngleBracket 5, 7, negative 1 RightAngleBracket.. After a certain amount of time, the particle’s position vector is Vector n = LeftAngleBracket negative 5, 8, negative 8 RightAngleBracket.. The particle’s ending position is Vector a = LeftAngleBracket negative 3, negative 5, negative 10 RightAngleBracket.. What is the overall displacement vector of the particle?
LeftAngleBracket negative 8, negative 12, negative 9 RightAngleBracket.
LeftAngleBracket negative 10, 1, negative 7 RightAngleBracket.
LeftAngleBracket 10, negative 1, 7 RightAngleBracket.
LeftAngleBracket 8, 12, 9 RightAngleBracket.
Answer:
<-8,-12,-9>
Step-by-step explanation:
got it right on edge
Reliable food sources and the ability to settle in one place contributed to what?
A. Growth of the world's population.
B. The beginning of hunter-gatherer societies.
C. The Architectural Revolution.
D. Equal distribution of resources to all.
Answer:
Probably A?
Step-by-step explanation:
Can you help me out?
Answer:
I will guess C because a matrix can only have 3 pivot positions.
The equation of a hyperbola is (x-2)^2/16 - (y+1)^2/9. Compare this equation with the standard equation of a hyperbola to find its attributes. Part A Find the values of a, b, c, h, and k and the coordinates of the center, vertices, and foci for the given hyperbola. (Hint: The vertices lie on the transverse axis and are at a distance of a unit from the center. The foci also lie on the transverse axis and are c units from the center.) please help!
The value of a, b, c, h, k, and foci coordinates are 4, 3, 5, 2, -1, and (5, 0) and (-5, 0) respectively.
What is hyperbola?It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have given a hyperbola equation:
[tex]\rm \dfrac{(x-2)^2}{16}-\dfrac{(y+1)^2}{9}=1[/tex]
We know the standard form of a hyperbola is given:
[tex]\rm \dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]
After comparing:
a² = 16 ⇒ a = 4
b² = 9 ⇒ b = 3
[tex]\rm c^2 = a^2+b^2\\\\\rm c^2 = 16+9 \Rightarrow 25[/tex]
c = 5
(h, k) is the center of the hyperbola:
(h, k) = (2, -1)
Vertices will be (a, 0) and (-a, 0):
(4, 0) and (-4,0)
Foci will be at (c, 0) and (-c, 0):
(5, 0) and (-5, 0)
Thus, the value of a, b, c, h, k, and foci coordinates are 4, 3, 5, 2, -1, and (5, 0) and (-5, 0) respectively.
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The value of a=4 , b=3 , k=-1 and h=2 for the hyperbola having the equation
[tex]\dfrac{(x-2)^2}{16}-\dfrac{(y+1)^2}{9}=1[/tex]
What is hyperbola?A hyperbola is the symmetrical open curve formed by the combination of a circular cone with a plane at a minimum angle with its axis than the side of the cone.
Here the general form of the equation of hyperbola will be:
[tex]\dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=1[/tex]
And we have a equation given as:
[tex]\dfrac{(x-2)^2}{16}-\dfrac{(y+1)^2}{9}=1[/tex]
By comparing the equation we the solutions
[tex]a=4 , b=3 , k=-1 \ and\ h=2[/tex]
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a) The sum of two square numbers
is sometimes but not always
a square number.
Answer:
ex: 25+25 (square numbers) = 50 (not a perfect square)
Step-by-step explanation:
all in the example
Solve.
4(x+2)^2=16
HELP PLSSSS
Answer:
x=0; x=-2
Step-by-step explanation:
so first you do (x+2)^2 which is x^2+2x+4
4x^2 +8x +16 = 16
Subtract 16 from both sides
4x^2 +8x = 0
factor out 4x:
4x(x+2) = 0
What is the definition of a chronological structure?
A. Describes events in order they occurred or gives ordered instructions
B. Shows relationship between events, explains how one thing happens as a result of another
C. Describes a topic, idea, person, place or thing
D. Describes a problem as well as its causes and suggests solutions
Answer:
B. Shows relationship between events, explains how one thing happens as a result of another
96. Sara took a test that had 24 questions on it. She got 4/6 of them correct. How many questions did she get correct? A 12 B. 15 16 D 25
Answer:
16
Step-by-step explanation:
the answer is 16
150 college freshmen were interviewed. 85 were registered for a math class,70 were registered for an English class, 50 were registered for both maths and English. how do I put them in 2 sets Venn diagram
Answer:
below
Step-by-step explanation:
Mathematically there cant be 150 student though since 85 + 70 = 155
PLEASE HELP WILL MARK BRAINLIEST
Answer:
Sin(45) = [tex]\frac{\sqrt{2} }{2}[/tex] , therefore Letter E is the answer ..
Step-by-step explanation:
Sin(45) = [tex]\frac{\sqrt{2} }{2}[/tex] , therefore Letter E is the answer ..
Answer:
take sin 45
Step-by-step explanation:
Find the value of each variable in the parallelogram.
Answer:
a=79, b=101
Step-by-step explanation:
the consecutive angles are supplementary angles, and the opposite ones are congruent.
2 For f(x)=3x(x + 5), find f (-2).
A-18
B 18
C -42
D 42
Answer:
A. -18
Step-by-step explanation:
» Application
To find the value of f(-2), we have to plug in the value of -2 for each x in the equation.
» Solution
[tex]f(-2)=3(-2)(-2+5)[/tex] [tex]f(-2)=-6(3)[/tex] [tex]f(-2)=-18[/tex]Thus, f(-2) = A. -18.
Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 8 inches, and the hole had side lengths of 5 inches, how much wood was left after the hole was cut out?
A.
387 cubic inches
B.
512 cubic inches
C.
39 cubic inches
D.
312 cubic inches
Answer:
The Correct answer is D. 312 Cubic inches.
Hope this helps you!!
Please Mark me Brainleast!!
Answer:
The Correct answer is D. 312 Cubic inches.
Hope this helps you!!
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John must mount a box which is 12 5/8 inches wide. He wants to leave 7 1/2 inches on each side of the
box. How much space across will John need?
Answer:
27 5/8
Step-by-step explanation:
12 5/8 + 2(7 1/2) = 12 5/8 + 15 = 27 5/8
The amount of space needed by John will be 27⁵/₈ inches.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that John must mount a box which is 12⁵/₈ inches wide. He wants to leave 7¹/₂ inches on each side of the box.
The amount of space needed by John will be calculated as below:-
E = 12⁵/₈ + 2(7¹/₂)
E = 12⁵/₈ + 15
E = 27⁵/₈ Inches
Hence, the amount of space needed by John will be 27⁵/₈ inches.
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Determine the equation of the circle with center (8,5) containing the point (-4,21)
Answer:
(x-8)² + (y-5)² = 400
Step-by-step explanation:
general equation of a circle : (x-h)² + (y-k)² = r²
where (h,k) is at center and r = radius
here we are given the center as well as a point on the circle
first we will need to identify the radius by finding the distance between the center and the point on the circle using using the distance formula ( we know this is the radius because the radius is a line that goes on the center of the circle to any point on the circle )
Identifying the radius using the distance formula
Distance formula : [tex]d=\sqrt{(x_2-x1)^2+(y_2-y_1)^2}[/tex]
where the x and y values are derived from the two given points
Given points are (8,5) and (-4,21)
Assigning variables we get (x1,y1) = (8,5) , so x1 = 8 and y1 = 5
and (x2,y2) = (-4,21) so x2 = -4 and y2 = 21
Plugging this into the formula we get
[tex]d=\sqrt{(-4-8)^2+(21-5)^2}[/tex]
==> subtract values inside of parenthesis
[tex]d=\sqrt{(-12)^2+(16)^2}[/tex]
==> evaluate exponents
[tex]d = \sqrt{144+256}[/tex]
==> add 144 and 256
[tex]d=\sqrt{400}[/tex]
==> take the square root of 400
[tex]d=20[/tex]
so the radius is 400
Finding the equation of the circle
again we have the general equation of a circle as (x-h)² + (y-k)² = r²
where (h,k) is at center and r = radius
here the center is at (8,5) and the radius is 20
so (h,k) = (8,5) so h = 8 and k = 5 and radius is 20 so r = 20
plugging these values into the general equation of a circle we get
(x-8)² + (y-5)² = 20²
==> evaluate exponent
(x-8)² + (y-5)² = 400
and we are done!
For more validation check the attached image :)
10. Congress may override a presidential veto with a ?
A. Majority vote. C. Two-thirds vote B. Three-quarter vote. D. unanimous vote
C. Two-thirds vote
Step-by-step explanation:To help with checks and balances, the consitution allows congress to override a presidential veto with a two-thirds vote; also known as a constitutional majority.
Intial Vote
When Congress first votes on a normal bill (not a consitutional change) all that is required is a simple majority. A simple majority means more than 50 percent.
Presidential Veto
Just because something is passed by Congress does not mean that it will be a law. The President still has to sign the bill into law. However, the President has the option to veto the bill.
Overriding a Veto
If a bill is overridden, Congress can move to override the veto. If they want to override the veto, there must be a 2/3's majority that agrees to pass the bill again.
Additionally, when overriding a veto any votes that are not affirmative, this includes abstentions and absent voters, are considered opposing votes. For example, if 2 congressmen did not show up to vote, then their votes would automatically be counted against the bill.