Answer:
C) The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).
Step-by-step explanation:
The axis of symmetry is x = − b/2a
= -(-3) / 2(-1)
= 3/(-2)
= -1.5
the vertex => x = -1.5
y= -(-1.5)²-3(-1.5)+6 =
-2.25 +4.5+6= 8.25
Which could be the missing data item for the given set of data if the median of the complete data set is 65?
66, 43, 35, 78, 74, 37, 65, 66, 76, 78, 80, 43, 56, 60
A. 71
B. 75
C. 69
D. 50
Answer:
B.) 75
Step-by-step explanation:
Answer: B 75
Step-by-step explanation:
Which theorem would be used to write 15x + 12 + 117 = 180 in the diagram below?
a. Alternate Interior Angles Theorem
b. Corresponding Angles Theorem
c. Consecutive Exterior Angles Theorem
d. Vertical Angles Theorem
Answer:
C. Consecutive Exterior Angles Theorem states that if the transversal passes through the two parallel lines then any two exterior angles are congruent
Answer:
B
Step-by-step explanation:
First, find the surface area of the yellow prism
Check the picture below. Notice, we're skipping the bottom part of it.
[tex]\begin{array}{llll} front&4\cdot 3&=&12\\ back&4\cdot 3&=&12\\ right&3\cdot 4&=&12\\ left&3\cdot 4&=&12\\ top&3\cdot 3&=&9\\ \cline{1-4} total&&&57 \end{array}[/tex]
Question 4 of 10 Based only on the information given in the diagram, it is guaranteed that A ABC - AXYZ. 3 Y Z O A. True B. False
Answer: True
Step-by-step explanation:
We know in every triangle all the angles add up to 180 so for triangle ABC if you add the 52 to the 90 you’ll find the answer to be 142 if you subtract this then from 180 you’ll find 38 to be your answer
Therefore if you add the 38 the 52 and the 90 you’ll get 180
Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ. Option A is correct.
What are the conditions of the congruent triangle?Triangles that are equivalent in terms of size and form are known as congruent triangles.
It is certain that XYZ gave simply the facts in the diagram, traingle ABC, and XYZ is similar. It is true that triangles XYZ and ABC are similar.
The angle of triangles ABC and XYZ is;
∠A= 180° -(90+52) = 38°
∠B= 90°
∠C=38°
∠X=38°
∠Y=90°
∠Z=180° -(90+38°) = 52°
∠B =∠Y=90°
Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ.
Hence, option A is correct.
To learn more about the congruent triangle refer;
https://brainly.com/question/12413243
#SPJ2
Which ones are parallel?
Answer:
a║b
Step-by-step explanation:
What is the point of intersection to the system below?
2x - 3y = 5
3x +3y = 5
Answer:
Solution: {x = 2, y = -1/3}
Step-by-step explanation:
On observation, we see that the y-terms are equal and opposite in sign, therefore to solve the system, we add the two equations.
2x-3y = 5 ..........(1)
3x+3y = 5............(2)
(1) + (2)
2x - 3y + 3x + 3y = 5+5
5x = 10
x = 2 .......(3)
Substitute (3) in (2) and solve for x
3x+3y = 5 .....(2)
3(2) + 3y = 5
3y = 5-6 = -1
y = -1/3 .......(4)
assemble (3) and (4) to give the answer
Solution: {x = 2, y = -1/3}
Mr. Brown has a gate that measures 65 ft by 72 ft. He needs to reinforce the gate by placing a strip of wood on the diagonal of the fence. How long will the strip of wood need to be?
Observe los datos de la siguiente tabla y resuelva. x -2 -1 0 1 2 3 y 1 3 5 7 9 11
Answer:
y = 2*x + 5
Step-by-step explanation:
En este problema tenemos los datos de una tabla, y supongo que queremos encontrar la funcion que esta siendo representada por esta tabla.
La tabla es:
x: -2 -1 0 1 2 3
y: 1 3 5 7 9 11
Esto parece ser una relación linear, las cuales se escriben como:
y = a*x + b
Donde a es la pendiente y b es la ordenada.
Si sabemos que la linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente será:
a = (y₂ - y₁)/(x₂ - x₁)
Entonces lo primero que debemos chequear es si utilizando distintos puntos de esa tabla obtenemos la misma pendiente, lo que significaría que los datos de la tabla se corresponden con una relación linear.
SI usamos los primeros dos puntos de la tabla, que son (-2, 1) y (-1, 3) la pendiente es:
a = (3 - 1)/(-1 - (-2)) = 2/1 = 2
Ahora si utilizamos por ejemplo el segundo y tercero, que son (-1, 3) y (0, 5) entonces la pendiente es:
a = (5 - 3)/(0 - (-1)) = 2/1 = 2
Ya vimos que para dos pares de puntos distintos la pendiente es igual a 2, entonces podemos concluir que la ecuación va a ser algo como:
y = 2*x + b
Para encontrar el valor de b, podemos usar cualquiera de los puntos de la tabla.
Si usamos el segundo punto, (-1, 3)
esto significa que cuando x = -1, tenemos y = 3
Si reemplazamos esos dos valores en la ecuación de arriba, obtenemos:
3 = 2*-1 + b
3 = -2 + b
3 + 2 = b
5 = b
Entonces la ecuación es:
y = 2*x + 5
HELP PLEASE! 50 points
Answer:
D. 270°Step-by-step explanation:
mADC = 360° - m∠AOCmADC = 360° - 90° = 270°Correct choice is D
Answer:
D. 270°
Step-by-step explanation:
Please help me
How many solutions does the equation
1-(6x - 4) = 3(1 – x) have?
Answer: one solution
this is all i know
Answer:
D
Step-by-step explanation:
Given
1 - [tex]\frac{1}{2}[/tex] (6x - 4) = 3(1 - x) ← distribute parenthesis on both sides
1 - 3x + 2 = 3 - 3x
3 - 3x = 3 - 3x
Since both sides of the equation are the same , then
This indicates the equation has infinitely many solutions.
Is [tex]18x^6+5y^6[/tex] prime polynomial why or why not
No files
Answer:
yes
Step-by-step explanation:
[tex]18x^6 + 5y^6 \ cannot\ be \ factorized \ further. \\\\So \ it \ is \ a \ prime\ polynomial.[/tex]
Three sides of a triangle measure 25 inches, 24 inches, and 7 inches. Which statement about the side lengths is correct?
Answer:
Well this needs more of a discription. I would say that 25 inch is the hypotenuse and the lenght is 24 inches. 7 inches is the width
39.63+0.30=24.45+0.80
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{39.63 + 0.30 = 24.45 + 0.80}[/tex]
[tex]\large\textsf{39.63 + 0.30}[/tex]
[tex]= \boxed{\large\textsf{\bf 39.93}}\large\checkmark[/tex]
[tex]\large\textsf{24.45 + 0.80}[/tex]
[tex]=\boxed{\large\textsf{\bf 25.25}}[/tex]
[tex]\large\textsf{\bf 39.93 } \mathsf{\bf \neq }\large\textsf{ \bf 25.25}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \bf FALSE or NOT TRUE because 39.93 }\mathsf{\neq }\large\textsf{ \bf 25.25}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Can someone explain how to do this?
Answer:
x = 32°
Step-by-step explanation:
The two angles form a straight line, so therefore they are supplementary.
The sum of supplementary angles always equal 180°, so we know that:
(3x - 4) + (3x - 8) = 180°
Now you have the equation, solve for x.
3x - 4 + 3x - 8 = 180°
6x - 12 = 180°
6x = 192°
x = 32°
Answer:
3x-4+3x-8=180
3x+3x=180+4+8
6x=192
x=32
check: 3(32)-4+3(32)-8=180
if f(x)=8x which is the following is the inverse of f(x)
Answer:my=8x
To find the inverse, flip the x and y variables and then solve for y.
x=8y
x/8=8y/8
x/8=y
Final answer: f^-1(x)=x/8
1. The equation is of the form , where a, b, and c are all positive integers and . Using this equation as a model, create your own equation that has extraneous solutions. (a) Using trial and error with numbers for a, b, and c, create an equation of the form , where a, b, and c are all positive integers and such that 7 is a solution. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.) (b) Solve the equation you created in Part 2a. (c) If your solution in Part 2b did not have an extraneous solution, revise your equation so that 7 is one solution and there is an extraneous solution. If your solution in Part 2b did have an extraneous solution, create another equation with different values of a, b, and c that also has 7 as one solution and an extraneous solution.
Answer:
[tex]7 + a = \sqrt{7b + c}[/tex] --- equation
[tex]a = 3; b =5\ and\ c = 65[/tex] --- the equation is true for these values
[tex]a = 4; b=5\ and\ c = 10[/tex] --- the equation is extraneous for these values
Step-by-step explanation:
Given
[tex]x +2 = \sqrt{3x + 10[/tex]
[tex]x + a = \sqrt{bx + c}[/tex]
Solving (a): Equation to solve for a, b and c, using trial by error where [tex]x = 7[/tex]
We have:
[tex]x + a = \sqrt{bx + c}[/tex]
Substitute 7 for x
[tex]7 + a = \sqrt{7b + c}[/tex] --- This is the equation
Solving (b): Solve for a, b and c --- to make the equation true
[tex]7 + a = \sqrt{7b + c}[/tex]
Let a = 3 ----- Here, we choose a value for a
[tex]7 + 3 = \sqrt{7b + c}[/tex]
[tex]10 = \sqrt{7b + c}[/tex]
Square both sides
[tex]100 = 7b + c[/tex]
Let b = 5 --------- Here, we choose a value for b
[tex]100 = 7*5 + c[/tex]
[tex]100 = 35 + c[/tex]
Subtract 35 from both sides
[tex]c = 65[/tex]
So, [tex]x + a = \sqrt{bx + c}[/tex] is true for
[tex]a = 3; b =5\ and\ c = 65[/tex]
Solving (b): Solve for a, b and c --- to make the equation false
[tex]7 + a = \sqrt{7b + c}[/tex]
Substitute [tex]a = 4; b=5\ and\ c = 10[/tex]
So, we have:
[tex]7 + 4 = \sqrt{7*5 + 10}[/tex]
[tex]11 = \sqrt{35 + 10}[/tex]
Square both sides
[tex]121 = 45[/tex] --- This is false
i.e.
[tex]121 \ne 45[/tex]
I need points 3+4%34
Answer:
I do too :(
Step-by-step explanation:
Answer:
4.36
i dont really but uh yea
Write the equation of the line that passes through the point (4,−1) that is parallel to the line 2x−3y=9
First we find the slope of the line 2x−3y+8=0 by placing it into slope intercept form:
2x−3y+8=0
⇒−3y=−2x−8
⇒3y=2x+8
⇒y=
3
2
x+
3
8
Therefore, the slope of the line is m=
3
2
.
Now since the equation of the line with slope m passing through a point (x
1
,y
1
) is
y−y
1
=m(x−x
1
)
Here the point is (2,3) and slope is m=
3
2
, therefore, the equation of the line is:
y−3=
3
2
(x−2)
⇒3(y−3)=2(x−2)
⇒3y−9=2x−4
⇒2x−3y=−9+4
⇒2x−3y=−5
Hence, the equation of the line is 2x−3y=−5.
Answer:
y=2/3x-11/3
Step-by-step explanation:
Hi there!
We are given the equation 2x-3y=9 and we want to write an equation that is parallel to it and that passes through (4,-1)
Parallel lines have the same slopes
So we need to first find the slope of 2x-3y=9
We can do this by converting the equation of the line from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
To do this, we need to isolate y on one side
2x-3y=9
subtract 2x from both sides
-3y=-2x+9
divide both sides by -3
y=2/3x-3
as 2/3 is in the place where m is, 2/3 is the slope of the line
It's also the slope of the line parallel to it that passes through (4,-1).
Here's the equation of that line so far:
y=2/3x+b
now we need to find b
as the line will pass through the point (4,-1), we can 4 as x and -1 as y in order to solve for b
-1=2/3(4)+b
multiply
-1=8/3+b
subtract 8/3 to both sides
-11/3=b
Substitute -11/3 as b into the equation
y=2/3x-11/3
There's the equation
Hope this helps!
Which term best describes a major arc of a circle that has the same starting
and ending point?
A. Diameter
B. Chord
O
C. Radius
D. Circumference
Answer:
Circumference! it's the major arc whose starting and ending point coincide.
Point A is a representation of which number on the number line?
Someone help me please
Answer:
x
Step-by-step explanation:
What is the value of h in the figure below? In this diagram,
BAD - CBD
Answer:
Option D
Step-by-step explanation:
By using geometric mean theorem in the given right triangle ABC,
[tex]\frac{AD}{BD}= \frac{BD}{DC}[/tex]
BD² = AD × DC
h² = (AC - CD) × DC
h² = (25 - 16) × 16
h² = 9 × 16
h = [tex]\sqrt{144}[/tex]
h = 12
Therefore, measure of side h = 12 units.
Option D will be the correct option.
Answer:
12 is correct via a p e x
How many mLs are in 1300mG
Answer:
1.3 mL
Step-by-step explanation:
1 mg = 0.001 mL
1300 mg * 0.001 mL/mg = 1.3 mL
how do do this plz help
Answer:
okay for graphing first one start at zero go up five. then rise over run. so go up one and right four.
second one go down one. then down one right one
out of 75 student 3 were a scent what percentage was present
Answer:
To find a percentage, divide the number present by the total number of students, then multiply that number by 100.
Answer:
96% were present.
Step-by-step explanation:
75/100 , 72/? Find percent (?)
(72*100 / )75
96%
In a village of 1210 people, the ratio of men to women is 6: 5. Find the number of men and women.
Answer:
Men = 660
Women = 550
Step-by-step explanation:
Say the total number of people = x = 1210
Then men = 6/11 x = 660
And women = 5/11x = 550
What are the five key points that you need to find for any given set of numbers in order to draw a Box plot for the data. Write the answer. Help
The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile.
Edmund and Lucy go to a toy shop. Edmund does not have enough money to buy the toy he wants. He says to Lucy, 'If you give me ₹ 40, I can buy my toy. But you will have ₹ 10 less to buy your toy." How much money does Lucy have?
Answer and explanation:
Assuming Edmund has $0
From Edmund, we know the toy costs $40(assuming it's in dollars)
Lucy gives him $40 and has $10 less($40-$10) to buy her own toy
Therefore Lucy had $40+$30= $70 before giving Edmund $40 for his toy.
Lucy currently has $70-$40 =$30, therefore needs $10 more to buy her own toy
Pleasee help me, I might give brainliest to the best answer. I urgently need a answer
Answer:
1<1.35<2
Step-by-step explanation:
Answer:
1.35 is closer to 1 than 2
So the bag of nuts weighed about 1 pound.
Step-by-step explanation:
The decimal is closer to the whole number 1 when plotted on a number line, so it rounds to 1.
What is the answer to this question?
Answer:
32
Step-by-step explanation:
[tex]g(13) = 16 \\ f(16) = 32[/tex]
