Answer: ABC is bisected by ray BD.
BC = One-halfAC
2mDBC = mABC
Step-by-step explanation:just took the test :)
The solution is, Options B, C and D are correct choices.
B.) ABC is bisected by ray BD.
C.) BC = AC/2
D.) 2mDBC = mABC
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
We have been given a diagram in which point B is the midpoint of line ABC. We are asked to choose the correct statements about our given diagram.
A. DBC is bisected by ray BD.
Since DBC is an angle for our given diagram and side BD is terminal side of angle DBC, therefore, option A is false.
B. ABC is bisected by ray BD.
We have been given that point B is the midpoint of segment ABC, this means that ray BD bisect line ABC. Therefore, option B is true.
C.
Since point B is midpoint of line ABC, so AB will be equal to BC.
i.e. we get,
BC = AC/2
Therefore, option C is the correct choice.
D. 2mDBC = mABC
We can see that measure of angle DBC is 90 degrees.
We can see that ABC is a line and measure of linear angle is 180 degrees,
therefore, and option D is true.
To learn more on angle click:
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Charles is saving $5 each week. He earns an extra $15 by mowing his neighbor's lawn. Write the inequality to
show how to find how many weeks will he need to save in order to save at least $75?
A $5w + $15 < $75
B$75 - $15w > $5
C$15w + $5 < $75
D$5W + $15 > $75
Answer:
A
Step-by-step explanation:
So it is 5+15<75 is the anwer
The spinner is spun twice. whats the probability of the arrow landing on three and then an odd number?
Answer:
A lot
Step-by-step explanation:
Spin itSee what it lands onFor what value of q is the equation – 13(q + 4) = 7q+ 16 true?
Answer:
q=-3.4
Step-by-step explanation:
writing polynomial functions write the equation of the polynomial function given the following zeros x= 5 , -2 , -1
Answer:
Step-by-step explanation:1) Find the domain of the given function. f(x) = square root of quantity x plus three divided by quantity x plus eight times quantity x minus two.
using a graphical tool see the attachment
the answer is C) x ≥ -3, x ≠ 2
2. Identify intervals on which the function is increasing, decreasing, or constant.
g(x) = 2 - (x - 7)2
using a graphical tool
see the attachment
the answer is C) Increasing: x < 7; decreasing: x > 7
3. Perform the requested operation or operations.
f(x) = 4x + 7, g(x) = 3x2
Find (f + g)(x).
(f + g)(x) = f(x) + g(x)
(f + g)(x) = 4x + 7 + 3x^2
(f + g)(x) = 3x^2 + 4x + 7
The answer is C) 4x + 7 + 3x2
4. Perform the requested operation or operations.
f(x) = x minus five divided by eight. ; g(x) = 8x + 5, find g(f(x)).
f(x)=(x-5)/8 g(x)=8x+5
g(f(x))=8((x-5)/8)+5=x-5+5=x
the answer is B) g(f(x)) = x
5. Find f(x) and g(x) so that the function can be described as y = f(g(x)).y = nine divided by square root of quantity five x plus five.
y=f(g(x))=9/((5x+5) ^1/2)
let do
g(x)=5x+5...........so
f(x)= 9/( x^1/2)
the answer is A) f(x) = nine divided by square root of x. , g(x) = 5x + 5
6. A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a 4-km by 4-km rectangle. As the camera zooms out, the length l and width w of the rectangle increase at a rate of 3 km/sec. How long does it take for the area A to be at least 4 times its original size?
Original size- >4km*4km=16 km2
4 times its original size---------------4*(16km2)-----64 Km2----------- > 8 km by 8 Km
Therefore
3km----------------------------- 1 sec
(8km-4km)---------------------x
X=4/3=1.33 sec
The answer is D) 1.33 sec
7. Find the inverse of the function.
f(x) = the cube root of quantity x divided by seven. - 9
to solve, replace f(x) with y , switch x and y, solve for y and replace y with f⁻¹(x)
f(x)=((x/7)-9) ^(1/3)
replace f(x) with y
y=((x/7)-9) ^(1/3)
switch x and y
x=((y/7)-9) ^(1/3)
solve for y
x^3=((y/7)-9)
x^3+9=y/7
y=7(x^3+9)
the answer is C) f-1(x) = 7(x3 + 9)
8. Describe how the graph of y= x2 can be transformed to the graph of the given equation.y = (x - 14)2 – 9
using a graphical tool see the attachment the answer is C) Shift the graph of y = x2 right 14 units and then down 9 units
9. Describe how to transform the graph of f into the graph of g. f(x) = alt='square root of quantity x minus nine.' and g(x) = alt='square root of quantity x plus five. '
f(x)=(x-9) ^1/2 g(x)=(x+5) ^1/2
using a graphical tool see the attachment
the answer is C) Shift the graph of f left 14 units
10. If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.
f(x) = -16x5 - 7x4 – 6
The answer is B) Degree: 5; leading coefficient: -16
11. Write the quadratic function in vertex form.y = x2 + 4x + 7
Complete the square on the right side of the equation
Use the form ax2+bx+cax2+bx+c, to find the values of a, b, and c.
a=1,b=4,c=7
Consider the vertex form of a parabola.
a(x+d)2+e
Find the value of dd using the formula d=b/2a
d=4/(2*1)=2
Find the value of e using the formula e=c−b2/4a
e=7−4=3
Substitute the values of a, d, and e into the vertex form a(x+d)2+e
(x+2)2+3
The answer is A) y = (x + 2)2+ 3
12. Find the zeros of the function.
f(x) = 3x3 - 12x2 - 15x
using a graphical tool (see the attachment)x1=-1
x2=0
x3=5
The answer is C) 0, -1, and 5
13. Find a cubic function with the given zeros.7, -3, 2
X1=7
X2=-3
X3=2
f(x)=(x-7)(x+3)(x-2)=(x2-4x-21)(x-2)=x3-6x2-13x+42
the answer is C) f(x) = x3 - 6x2 - 13x + 42
14. Find the remainder when f(x) is divided by (x - k).f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3
f(x)=7(3)4+12(3)3+6(3)2-5(3)+16=946
The answer is the B) 946
15. Use the Rational Zeros Theorem to write a list of all potential rational zerosf(x) = x3 - 10x2 + 4x - 24
The constant term of () is -24
The leading coefficient is 1.
We have to only consider the factors of the constant (leading coefficient = 1)
The factors are 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24
The answer is A) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24
Find the value of 6^5 ?
DO NOT INCLUDE SPACES IN YOUR ANSWER!
What two numbers multiply together to give you 25 and add together to give you -10?
Blank 1:
Blank 2:
Answer:
-5 and -5
Step-by-step explanation:
I believe, and know you can multiply -5 by -5 to get 25 and you can add -5 by -5 to get -10.
A triangle has a base of 8 cm and a height of 12 cm. What is the area of the triangle?
A: 48 sq cm
b:96 sq cm
C:20 sq cm
52 is 13% of what number
(5x + 2)(2x - 1)
Simplify
10x^2 - x - 2
10x^2 - 5x + 4x - 2
10x^2 + (-5x + 4x) - 2
10x^2 - x - 2
What are the zeros of this function?
Answer:
4 and 6
Step-by-step explanation:
These are the points in which y=0
help its math lol please actually know the answer
Answer:
c
Step-by-step explanation:
The amount of money they get is 9n so it will be a multiple of 9, and it cannot be negative because there cannot be negative customers
Give the slope and y-intercept of the relationship shown in the table
х
-100
0
100
y
75
50
25
slope: -25, y-intercept=0
slope = -1/4, y-intercept = 50
slope = 1/2, y-intercept = 25
I need help with the question!!
Answer:
slope = -1/4, y-intercept = 50
Step-by-step explanation:
x=0 y=50
x=100 y= 25
y= mx+b
b= 50
25= 100 m +50
100m = - 25
m= -1/4
where m is the slope and b is the y intercept
I HAVE TEN MIN LEFT!!! Someone helpppp me
5. Complete the following equation using < >, or =
7___24/4
Answer:
7 > 24/4
Step-by-step explanation:
7 __ 24/4
simplify
7 __ 6
7 > 6
Answer:
7 > 24/4
Step-by-step explanation:
24÷4=6
7_6
7>6
therefore it's greater than
170 guests yesterday called for room service 255 guests did not call for room service what percentage call for room service
Answer: 40%
Step-by-step explanation:
Number of guests that yesterday called for room service = 170
Number of guests that did not call for room service = 255
Total number of guests = 170 + 255 = 425.
The percentage that call for room service = Those that call for room service / Total guest × 100
= 170/425 × 100
= 0.4 × 100
= 40%
HELP ME FAST !
T-shirts that usually sell for $28.99 are on sale
for $17.39. What percent off are they?
Answer: i think it is 46.38 %
Step-by-step explanation: add both numbers ( decimals) and just put the percentage. hope this will help u stay safe :)
Answer:
38.3%
Step-by-step explanation:
We have two equations to find the answer.
1. Discount = OG Price * Discount by 100%
2. Final Price = OG Price - Discount
So fill in the first equation :
Discount = 28.99 * 38.3/100
Discount = 28.99 * 0.38
Saved = $11.10
Now for the second equation :
Final Price = 28.99 - 11.10317
Final Price = $17.89
Therefore the discount is 38.3%
Raul got 46% of the test correct. The test had 100 questions on it. How many questions did Raul get correct?
Answer:
46
Step-by-step explanation:
46% of 100 is 46
Find the volume. Round to two decimal places if necessary.
Answer:
Refer to the attachment and Thank U
Answer:
523.60
Step-by-step explanation:
What is the equation of a line that passes through points (0,4) and (-4,-8)?
A y= 3 x-4
B y= 2 x-4
C y= 3 x - 4
D y= 2 x-4
Answer:
i got y = 3x + 4
Step-by-step explanation:
i graphed it
hiii please help i’ll give brainliest
Answer:
385
Step-by-step explanation:
PLzz use my code on WiSH you will save money and they have amazing stuff on wish.com
Code: chhnwqpt
Answer:
Ok, ty i guess?
Step-by-step explanation:
Answer:
gg i will
Step-by-step explanation:
The hypotenuse of a 30-60-90 degree triangle is 24.2 ft. What is the length of the shortest leg?
Answer:
12.1 feet
Step-by-step explanation:
24.2/2 because H= 2 of the shortest leg
A ferry traveled 1/6 of the distance between two ports in
3/7
hour. The ferry travels at a constant rate.
At this rate, what fraction of the distance between the two ports can the ferry travel in one hour?
First, we determine the speed of the ferry by dividing the distance by the time it took to cover that certain distance.
speed = (1/6) / (3/7)
speed = 7/18
Then, the distance it will travel for an hour is calculated through the procedure below.
distance = (7/18hour) x (1 hour)
distance = 7/18
Therefore, after an hour, the ferry will be able to travel 7/18 of the distance between two ports.
Solve for x. Do not type degree symbol or any spaces
in your answer.
85
40°
X
Fill in the table using this function rule
2(1 – x) > 2x HELP ASAP!!! I CANT FIGURE THIS OUT
This is the same as saying x < 0.5 since 1/2 = 0.5
====================================================
Work Shown:
2(1-x) > 2x
2*1 + 2*(-x) > 2x ..... distribute
2 - 2x > 2x
2 > 2x+2x .... adding 2x to both sides
2 > 4x
4x < 2 ..... flip both sides; flip the inequality sign
x < 2/4 ..... dividing both sides by 4; see note below
x < 1/2
Note: We do not flip the inequality sign here because we are dividing both sides by a positive value. The inequality sign would only flip if you divide both sides by a negative number.
Which type of figure will this net produce?
Cone
Circular pyrimid
Cylinder
Rectangular prism
Answer:
that is a cone
Step-by-step explanation:
hope this helps and have a blessed day
Analyze the reflectional symmetry of the letters.
Which two letters have reflectional symmetry?
S and H
R and K
S and K
H and A
At the amusement park there were t-shirts for sale for $18.95 each. James bought 4 of them. About how much did he spend?
Group of answer choices
Answer:
$75.80
Step-by-step explanation:
$18.95 times 4= $75.80
Is the relation a function?
(5,4),(3,10),(1,16),(3,8),(−1,6)
YES or NO?
Answer:
No.
Step-by-step explanation:
The input 3 is used twice. In order to be a function, an input must only go to one output.