The length of AC will be equal to 20 units for the given line.
What is the distance?Distance is defined as the length between the two points here we have a line AC divided into two parts having a length of AB = 4 and BC is 16.
The length of the line AC will be calculated as:-
AC = AB + BC
Ac = 4 + 16
AC = 20 units.
Therefore the length of AC will be equal to 20 units for the given line.
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For the function y = -2x + 4, the input is 3. What is the output?
Answer:
y = -2
Step-by-step explanation:
Plug in 3 for x
y = -2 (3) + 4
y = -6 + 4
y = -2
I hope this helps :))
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
4. All angles are formed by the intersection of two _______ at a point called the angle's vertex.
A) rays
B) lines
C) segments
THE HINT I WAS GIVEN: These objects have start with an endpoint and end with a line.
Answer: rays or lines
Step-by-step explanation:
Answer:
I believe the answer is: B.) lines
Hope this helps God bless!
Why is it important to consider multiplicity when determining the roots of a polynomial equation? Write your response, citing mathematical reasons and providing examples that you create In order to receive full credit for this prompt, please answer the following questions: What it multiplicity? What does it tell us? Why must we take multiplicity into account when talking about the number of roots a polynomial has? What does multiplicity tell us about how the graph behaves at the roots?
Answer:
Step-by-step explanation:
The multiplicity of a root of a polynomial equation is the number of times it appears in the solution.
Multiplicity is important because it can tell us two things about the polynomial that we work on and how it is graphed. first: it tells us the number repeating factor a polynomial has to determine the number of the real (positive or negative) roots and complex roots of the polynomial.
About graph behaves at the roots : Behavior of a polynomial function near a multiple root
The root −4 is a 'simple' root (of multiplicity 1), and therefore the graph crosses the x-axis at this root. The root 1 is of even multiplicity and therefore the graph bounces off the x-axis at this root.
simplify 12a^7b^5/16a^2b^2
Answer:
[tex]\frac{12a^7b^5}{16a^2b^2}=\frac{3}{4} a^5b^3[/tex]
Which graph could represent the price of a fence selling at a unit rate of R dollars per foot?
Answer:
the middle one is the correct answer
Step-by-step explanation:
Answer:
the answer is (1,R)
Step-by-step explanation:
PLZ ANSWER THIS ASAP
Answer:
C. Hollow cone frustum
Step-by-step explanation:
Revolved it in my head, because the line isn't touching the triangle it will be hollow, because the triangle has a slope the shape will taper.
An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold?
Thank you!
Answer: 12 child tickets
Step-by-step explanation:
We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.
Equation 1
5.25x+3.05y=498.6
This equation comes from the cost of tickets.
Equation 2
x+y=100
This equation comes from the number of tickets.
We can use elimination method to solve for y.
5.25x+3.05y=498.6
5.25x+5.25y=525
Now, we can subtract the equations for x to cancel out and to solve for y.
-2.2y=-26.4
y=12
Translate this sentence into an equation.
The product of Victor's age 7 and is 84 .
Use the variable v to represent Victor's age.
Answer:
The product of Victor's age and 7 is 84 in equation form is 7v=84
Step-by-step explanation:
Let v be the Victor's age.
We are supposed to Translate this sentence into an equation
The product of Victor's age and 7 is 84
Victor's age = v
Product of victor's age and 7 =[tex]7 \times v[/tex]
We are given that their product is 84
So,[tex]7 \times v =84[/tex]
Hence The product of Victor's age and 7 is 84 in equation form is 7v=84
for all the values of x,
f(x)=x²+3 g(x)=2x-1
a) find fg(2)
b) find gf(2)
Answer:
12 and 13
Step-by-step explanation:
(a)
To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)
g(2) = 2(2) - 1 = 4 - 1 = 3, then
f(3) = 3² + 3 = 9 + 3 = 12
--------------------------------------------
(b)
To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)
f(2) = 2² + 3 = 4 + 3 = 7, then
g(7) = 2(7) - 1 = 14 - 1 = 13
Which verbal expression is represented by 2(x + 4)?
A. twice the sum of a number and four
B. the sum of two times a number and four
C. two times the difference of a number and four
D. twice the product of a number and four
Answer:
A.
Step-by-step explanation:
The sum of a number, x, and 4 just means x + 4.
If we take twice this sum, it implies that we take the resulting number and multiply it by 2.
Our resulting number is x + 4, so we are left with 2(x + 4).
I hope this helps!
The correct answer is twice the sum of a number and four.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given an expression, 2(x+4)
The sum of a number, x, and 4 just means x + 4.
Taking twice of the sum, it implies that we take the resulting number and multiply it by 2.
The resulting number is x + 4, so it is 2(x + 4).
Hence, The correct answer is twice the sum of a number and four.
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Gordon and Malachy win some money and share it in the ratio 6:1. Gordon gets £25 more than Malachy. How much did they get altogether?
Answer:
£ 35
Step-by-step explanation:
Ratio = 6 : 1
Gordon's share = 6x
Malachy's share = x
6x - x = 25
5x = 25
x = 25/5
x = 5
Gordon's share = 6x = 6*5 = 30
Malachy's share = x = 5
Total money they get = 30 + 5 = £35
Gabrielle went on a 72 mile trip to a soccer game. On the way back, due to road construction she had to drive 18 miles per hour slower. This made the trip take 9 hours longer. How fast did she drive to the soccer game?
Answer:
Gabrielle drove to the soccer game at the speed of 18 miles/hour
Step-by-step explanation:
Given: Distance covered = 72 miles
On the way back, she had to drive 18 miles per hour slower due to road construction which made the trip take 9 hours longer.
To find: speed
Solution:
Let speed be x miles/hour
Time taken = distance covered/time taken = [tex]\frac{72}{x}[/tex] hours
On the way back, she had to drive 18 miles per hour slower due to road construction
So, new speed = ( x - 18 ) miles/hour
Time taken as per new speed = [tex]\frac{72}{x-18}[/tex] hours
According to question,
[tex]\frac{72}{x-18}-\frac{72}{x}=9\\\frac{1}{x-18}-\frac{1}{x}=\frac{9}{72}\\\frac{x-x+18}{x(x-18)}=\frac{1}{8}\\x^2-18x-144=0\\x^2-24x+6x-144=0\\x(x-18)+6(x-18)=0\\(x-18)(x+6)=0\\x=18\,,\,-6[/tex]
Being a speed, x can not be negative. So, [tex]x=-6[/tex] is rejected
So,
Gabrielle drove to the soccer game at the speed of 18 miles/hour
Solve x
3x+6=42 please help me get this done
_______________________________
Solution,
3x+6=42
or,3x=42-6
or, 3x=36
or,X=36/3
X=12
The value of X is 12.
hope it helps
Good luck on your assignment
____________________________
Answer:
this can be solved by using transposition method let me tell you how
Step-by-step explanation:
3x+6=42
+6 will transpose to the rhs
=3x = 42 - 6 (+WILL BECOME - WHILE TRANSPOSING LHS TO RHS)
= 3x = 36
3x will transpose and will become division
= x = 36 /3
=x =12
the value of x is 12
A white tail deer can sprint at speeds up to 30 mph American bison can run at speeds up to 3520 ft./min. which animal is faster and by how many miles per hour
Answer:
Bison, by 10 mph
Step-by-step explanation:
Convert ft/min to mi/hr.
3520 ft/min × (1 mi / 5280 ft) × (60 min / hr) = 40 mi/hr
The bison is faster than the deer by 10 mph.
Please help me answer these two questions:) Find two consecutive numbers with a sum of 143. The combined mass of two children is 75 lbs. The first child is four times the mass of the second child. What are the masses of the two children? Whoever answers and explains i will give the brainliest!
Answer:
Question 1: 71 and 72
Question 2: Child 1: 60 lbs, Child 2: 15 lbs
Step-by-step explanation:
Question 1:
Consecutive numbers are 2 numbers right next to each other.
You know the numbers will have to be double digits number.
71 and 72 are consecutive numbers. The sum of them is 143.
71+72=143
Question 2:
For this problem, we can use system of equations to find the mass of the 2 children. Let's say x is the first child and y is the second child.
Equation 1
x+y=75
This equation comes from the combined mass of the 2 children.
Equation 2
x=4y
This equation comes from the first child being 4 times the mass of the second child.
Since we know the value of x, we can use substitution to find y.
4y+y=75
5y=75
y=15
Now that we know the second child is 15 lbs, we can plug this into any of the 2 equations to find the mass of the first child.
x=4(15)
x=60
Presenting a graph with a skewed scale would be a: A measurement error. B sampling error. C interpretation error. D data collection error. PLEASEEE HELPPP!!!!!!!!!!!
Answer:
C. interpretation error
Step-by-step explanation:
Interpretation error is how data is interpreted (i.e. wrong meaning). For instance, when data results are presented in a wrong or misleading way.
Answer:
The answer is C.
Step-by-step explanation:
it just is.
help will mark brainliest
Answer:
no mistakes
Step-by-step explanation:
There are no mistakes in the derivation of the quadratic formula by completing the square
Step 1
Move c to the right hand side
Step 2 Get x^2 to have a coefficient of 1
Step 3 complete the square by adding ( b/2a) ^2 to each side
Step 4 Write in the completed square form ( x+ b/2x) ^2 = -c/a + ( b/2a) ^2
Step 5 take the square root of each side, remembering the plus and minus
Step 6 subtract (b/2a) from each side
the original price of a computer is $935.00 if the price of the computer is increased by 7% what is the new price
Answer:
$1000.45 is the new price.
Step-by-step explanation:
The fastest way in which to answer this question is to multiply $935.00 by 1.07. That ".07" comes from "7%."
1.07($935.00) = $1000.45 is the new price.
How many points does a plane have that is on the same line
Which pairs of angles in the figure below are vertical angles?
Step-by-step explanation:
Vertical angles are opposite angles formed by two intersecting lines.
The only lines that fully intersect are TSI and WSN.
Now find the opposite angles that are formed by the lines TSI and WSN.
Answer:
TSN ISW and ISN and TSW
Step-by-step explanation:
Find the solution of this system of equations.
Separate the x- and y-values with a comma.
x = -9 + y
-6x + 11y = 19
Answer:
Brainliest here!
Step-by-step explanation:
Solve using a online calculator
(-16,-7)
Answer:
x= -16, y= -7
Step-by-step explanation:
x= -9+y
-6x+11y= 19
---------
-6(-9+y)+11y=19
54-6y+11y=19
54+5y=19
5y= 19-54
5y= - 35
y= -35/5
y= -7
x= -9+(-7)= -16
I don’t know how to figure out the ratio of the areas. The area for HGEF is 60.5 (121/2) and the area for JKLM is 378.125 (3025/8). I know the areas are right because the previous questions says they are. Thank you so much!
Answer:
25 : 4
Step-by-step explanation:
Given 2 similar figures with ratio of sides = a : b , then
ratio of area = a² : b²
For the given figures the ratio of corresponding sides is
JK : EF = 20 : 8 = 5 : 2 , thus
ratio of areas = 5² : 2² = 25 : 4
CAN SOMEONE PLEASE HELP(IM BAD AT MATH)
Answer:
C
Step-by-step explanation:
like I said, find the square area and subtract the triangles.
28 x 28= 784
Find the dimensions of the triangles. Since the surrounding shape is a square, the legs should be equal in length.
28-11.6=16.4
16.4/2=8.2
8.2 is the leg's length.
8.2*8.2*1/2*4=134.48
Subtract it to the square's area. 784-134.48= 649.52
Now round!
You get C
how do you figure out what is a trinomial?
Answer:
To factor trinomals in the form of x^2+bx+c, you have to find 2 integers, r and s, whose product is c, and whose sum is b. You have to rewrite the trinomial as x^2+rx+sx+c and then using the grouping and distribution of property to factor the polynomial. The result of the factors will be (x+r) and (x+s)
Step-by-step explanation:
The temperature in Fahrenheit is thirty-two degrees more than 1.8 times the temperature in Celsius. Write an equation for the temperature in degrees Celsius. What is the temperature in Celsius if the temperature in
Fahrenheit is 176 degrees?
Answer:
80 Degrees celsius
Step-by-step explanation:
176 - 32 = 144
144 * 100/180 = 80
What is the value of y?
O A. 30°
OB. 40°
O C. 50°
O D. 60°
For any triangle, the three angles always add to 180
(y+10)+(2y)+(50) = 180
3y+60 = 180 ... combine like terms
3y+60-60 = 180-60 ... subtract 60 from both sides
3y = 120
3y/3 = 120/3 .... divide both sides by 3
y = 40
Need help with this asap plz❤️
What question are you needed answers to?
The perimeter of the given triangle is
Answer:
~73.68
Step-by-step explanation:
In the right triangle with one angle = 45 deg
=> Isosceles right triangle
=> a = b = hypotenuse/sqrt(2) = (12sqrt(2))/sqrt(2) = 12
In other right triangle with 3 sides are a, c, and d, we have:
sin (30 deg) = a/d
=> d = a/sin(30 deg) = 12/(1/2) = 12 x 2 = 24
Othwise, cosine (30 deg) = c/d
=> c = d x cos(30 deg) = 24 x sqrt(3)/2 = 12sqrt(3)
=> The perimeter of the biggest triangle is calculated by:
P = 12sqrt(2) + b + c + d = 12sqrt(2) + 12 + 12sqrt(3) + 24 = ~73.68
Hope this helps!
The length of a rectangle is 2 units greater than the width. The area of the rectangle is 24 square units. What is it's width?
Answer:
4 units
Step-by-step explanation:
Length would be 6 units and width would be 4 units
6*4 = 24 proving my claim to be true
Answer:
Width = 4 units
Step-by-step explanation:
Let us pose the width as w, and the length as l. If the length is 2 units greater than the width, consider the following;
[tex]l = 2 + w,\\\\w = width,\\l = length[/tex]
The area of this rectangle can be determined through length * width / l * w, and is given to be 24 square units. We can say l = 2 + w instead, solving for the width ( w );
[tex]( 2 + w ) * w = 24,\\2w+w^2=24,\\\left(w-4\right)\left(w+6\right)=0,\\w = 4, w = - 6\\\\Solution - width = 4 units[/tex]
As the width couldn't be a negative value, we had to take the positive of 4 and - 6, which was 4 units.
hanako goes to the movies with 2 friends.
They each buy a movie ticket. They will share
a large popcorn for $8. They spend a total of
$38. What is the price of 1 movie ticket?