Answer:
AB = 7
AC = 21
Step-by-step explanation:
Because AD is an angle bisector it divides the triangle into proportional parts. That is ...
AC/DC = AB/BD
(28 -AB)/9 = AB/3 . . . . use AC = 28 -AB
28 -AB = 3AB . . . . . . . . multiply by 9
28 = 4AB . . . . . . . . add AB
AB = 28/4 = 7 . . . . divide by 4
AC = 28 -7 = 21
The lengths AB and AC are 7 and 21, respectively.
_____
Additional comment
The triangle ABC cannot exist. The reason is that its side measures are 7, 12, and 21. The sum of 7 and 12 is not greater than 21, so the side measures do not satisfy the triangle inequality.
For the triangle to exist, the sum of AB and AC cannot exceed 24 for the given values of BD and DC.
How tall is a stack of cube shaped blocks whose volumes are 375 cube inches, 648 cube inches, and 1029 cube inches?
Answer:
The stack of blocks is 25.96 inches tall
Step-by-step explanation:
Volume of a Cube
Suppose we are given a cube of side L, the volume is calculated by:
[tex]V=L^3[/tex]
If the volume is given, the side can be found by solving for L:
[tex]L=\sqrt[3]{L}[/tex]
We know three cube-shaped blocks with volumes 375, 648, and 1029 cube inches. We'll find each of the side lengths and add them up to find the height that results when they stack up vertically.
Block 1, volume =375 cube inches:
[tex]L_1=\sqrt[3]{375}=7.21\ inch[/tex]
Block 2, volume= 648 cube inches:
[tex]L_2=\sqrt[3]{648}=8.65\ inch[/tex]
Block 3, volume =1029 cube inches:
[tex]L_3=\sqrt[3]{1029}=10.10\ inch[/tex]
Total height=[tex]7.21\ inch+8.65\ inch+10.10\ inch=25.96\ inch[/tex]
The stack of blocks is 25.96 inches tall
192/38 with remanders
Answer:
5 Remainder 2
Answer:
The answer is 5 remainder 2
Step-by-step explanation:
what is the correct answer?
Given:
Dividend = [tex]3x^3-3x^2-4x+3[/tex]
Divisor = [tex]x+3[/tex]
To find:
The quotient and remainder.
Solution:
On dividing [tex]3x^3-3x^2-4x+3[/tex] by [tex]x+3[/tex], we get
[tex]x+3\ |\overline{3x^3-3x^2-4x+3} |\ 3x^2-12x+32[/tex]
[tex]3x^3+9x^2[/tex]
[tex]\underline{(-)\quad (-)\quad \quad \quad \quad \quad }[/tex]
[tex]-12x^2-4x+3[/tex]
[tex]-12x^2-36x[/tex]
[tex]\underline{(+)\quad (+)\quad \quad \quad }[/tex]
[tex]32x+3[/tex]
[tex]32x+96[/tex]
[tex]\underline{(-)\quad (-)\quad }[/tex]
[tex]\underline{\quad -93\quad }[/tex]
Here,
Quotient = [tex]3x^2-12x+32[/tex]
Remainder = [tex]-93[/tex]
Therefore, the correct option is D.
Cameron has 75% as many shirts as her brother. How many shirts does her brother have if Cameron has 9 shirts?
A) 3 shirts
B) 9 shirts
C) 12 shirts
D) 16 shirts
Which statement does NOT correctly describe the order of operations (PEMDAS)?
A.Multiplication always comes before addition.
B.Multiplication is always before division.
C.Solve exponents after parenthesis.
DSolve subtraction after addition unless subtraction is on the left side of addition.
(Help meh A.P.S)
Answer:
I think it’s D
Step-by-step explanation:
Solve for b.
-9
____ + B= -1
3
Answer:
b = 6
Step-by-step explanation:
this is because you have to multiply by 3 on both sides then add 9 on both sides. then you get 6
Answer:
.
Step-by-step explanation:
Please help 100 points + brainlest
Look at the pictures below and answer them
Answer:
the answers are bolded below!
Step-by-step explanation:
1. y-y1=m(x-x1)
line one- 14-4/6-1 = 10/5 = 2
so.... y-1=2(x-4)
simplified y=2x-7
line two- -2-23/1-6 = -25/5 = -5
so..... y-6=-5(x-23)
simplified y=-5x+121
b- they will intersect 1 time at (18.2,29.5)
2. No, it the system has infinitely many solutions, then the lines would be on top of each other. But since there are only two solutions, then your answer would not be infinitely many solutions.
3. y=-2x+1. This would not intersect with y=-2x+3 because they are parallel. the slopes are the same so they will each travel at the same rate but they have different y intercepts.
4. y=-2x+7 ------> x=-1/2y-7/2
y=-3(-1/2y+7/2)+8 -----> y=5
y=-2x+7 ---> 5=-2x+7 ----> x=1
one solution at (1,5) because f graphed, the lines would only intersect once.
b- x=5
3x-y=5 ---> 3(5)-y=5 ---> y=10
one solution at (5,10) because f graphed, the lines would only intersect once.
c- no solutions because if it were to be graphed, the lines would not intersect at all.
d- no solutions because if it were to be graphed, the lines would not intersect at all.
e- no solutions because if it were to be graphed, the lines would not intersect at all.
i am in algebra two so you can trust my answer. If you need more help lmk in the comments. Happy holidays and stay safe!
Grandma gave 13 pieces of jewelry and grandma fien gave y pieces to the sister to divide evenly among them selves.There are 5 sister
Complete question :
Grandma gave 13 pieces of jewelry and grandma fien gave y pieces to the sister to divide evenly among them selves.There are 5 sister. How many pieces of jewelry does each sister get
Answer:
(13 + y) / 5
Step-by-step explanation:
Given that :
Number of jewelries Given by grandma = 13
Number of jewelries Given by grandma fien = y
Total number of jeweleries Given = (13 + y)
Number of people among which the jeweleries is to be divided = 5
Hence, since the distribution is to be even, then, each sister gets :
Total jeweleries / number of sisters
(13 + y) / 5
Can someone help me with these and show the work also?
QUESTION:
Simplify each expression
ANSWER:
1.) [tex]\green{{- 8n}}[/tex]
2.) [tex]\green{{- 2b - 60}}[/tex]
3.) [tex]\green{{- 10x - 14}}[/tex]
4.) for number 4 study my step-by-step explanation so you can answer that
STEP-BY-STEP EXPLANATION:
1.) First, If the term doesn't have a coefficients, it is considered that the coefficients is 1
WHY?
Learn why:
Why is it considered that the coefficient is 1?
Remember that any term multiplied by [tex]\blue{{1}}[/tex] remains the same :
[tex]\blue{{1}}[/tex] [tex]{× x = x}[/tex]
Step 1:
The equality can be read in the other way as a well, so any term can be written as a product of [tex]\blue{{1}}[/tex] and itself:
[tex]{x = }[/tex] [tex]\blue{{1}}[/tex] [tex]{× x}[/tex]
Step 2:
Usually, we don't need to write multiplacation sign between the coefficient and variable, so the simple form is:
[tex]{x = 1x}[/tex]
This is why we can write the term without the coefficient as a term with coefficient [tex]{1}[/tex]
Now let's go back to solving as what i said if a term doesn't have a coefficient, it is considered that the coefficient is 1
[tex]{n - 9n}[/tex]
[tex]\red{{1}}[/tex] [tex]{n -9n}[/tex]
Second, Collect like terms by subtracting their coefficients
[tex]\red{{1n - 9n}}[/tex]
[tex]\red{{( 1 - 9)n}}[/tex]
Third, Calculate the difference
how?
Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from larger
[tex]\red{{1 - 9}}[/tex]
[tex]\red{{- (9 - 1)}}[/tex]
Subtract the numbers
- ([tex]\red{{9 - 1}}[/tex])n
- [tex]\red{{8}}[/tex]n
[tex]\green{\boxed{- 8n}}[/tex]
2.) First, Distribute - 6 through the parentheses
how?
Multiply each term in the parentheses by - 6
[tex]\red{{- 6(b + 10)}}[/tex]
[tex]\red{{- 6b - 6 × 10}}[/tex]
Multiply the numbers
- [tex]{6b}[/tex] - [tex]\red{{6 × 10}}[/tex]
- [tex]{6b}[/tex] - [tex]\red{{60}}[/tex]
Second, Collect like term
how?
Collect like terms by calculating the sum or difference of their coefficient
[tex]\red{{- 6b + 4b}}[/tex]
[tex]\red{{(- 6 + 4)b}}[/tex]
Calculate the sum
[tex]\red{{(- 6 + 4)}}[/tex]b
[tex]\red{{-2}}[/tex]b
[tex]\green{\boxed{- 2b - 60}}[/tex]
3.) First, Distribute 2 through parentheses
how?
Multiply each term in the parentheses by 2
[tex]\red{{2(x - 5)}}[/tex]
[tex]\red{{2x - 2 × 5}}[/tex]
Multiply the numbers
[tex]{2x -}[/tex] [tex]\red{{2 × 5}}[/tex]
[tex]{2x -}[/tex] [tex]\red{{10}}[/tex]
Second, Distribute - 4 through the parentheses
how?
Multiply each term in the parentheses by - 4
[tex]\red{{- 4(3x + 1)}}[/tex]
[tex]\red{{- 4 × 3x - 4}}[/tex]
Calculate the product
- [tex]\red{{4 × 3}}[/tex]x - 4
- [tex]\red{{12}}[/tex]x - 4
Third, Collect like terms
how?
Collect like terms by subtracting their coefficient
[tex]\red{{2x - 12x}}[/tex]
[tex]\red{{(2 - 12)x}}[/tex]
Calculate the difference
[tex]\red{{(2 - 12)}}[/tex]x
[tex]\red{{- 10}}[/tex]x
Fourth, Calculate the difference
how?
Factor out the negative sign from the expression
[tex]\red{{- 10 - 4}}[/tex]
[tex]\red{{- (10 + 4)}}[/tex]
Add the numbers
- ([tex]\red{{10 + 4}}[/tex])
- [tex]\red{{14}}[/tex]
[tex]\green{\boxed{- 10x - 14}}[/tex]
That's all I know sorry but I hope it helps :)
Solve this equation. Show all steps please. Will give brainliest to the first serious response.
Answer:
Step-by-step explanation:
7x - 2(7x - 9) = 2(-6x + 4) Remove the brackets on both sides.
7x - 14x + 18 = -12x + 8 Combine like terms
-7x + 18 = -12x + 8 Add 12x to both sides
-7x+12x + 18 = 8 Combine like terms on the left
5x + 18 = 8 Subtract 18 from both sides
5x = 8 - 18
5x = -10 Divide by 5
x = - 10/5
x = - 2 Proof
LHS
7*-2 -2(7*-2 - 9) -14 - 2*(-14 - 9)
-14 -2 (-23)
-14 + 46
32
RHS
2(-6*-2 + 4)
2(12 + 4)
32
Holly begins with 1 penny in her piggy bank. She adds 2 pennies on day 1, 4 pennies on day 2, and 8 pennies on day 3. She continues this pattern for 30 days.
Which statement describes why this sequence is a function?
Select EACH correct answer.
a Each amount of pennies corresponds to a unique day in this sequence.
b The graph of this sequence would pass the horizontal line test.
c Each day corresponds to a unique amount of pennies in this sequence.
d The graph of this sequence would pass the vertical line test.
Answer:
The answer is c and b
Step-by-step explanation:
I took the test
Options B, C and D are correct.
The Graph of this sequence would pass the horizontal line test.Each day corresponds to a unique amount of pennies in this sequence.The Graph of this sequence would pass the vertical line test.We have Holly and her penny collection.
We have to select the correct alternatives from the given.
Starting from 1 marble if you add 'x' marble every day for n days, then you have a total of 40 marbles. Find n.1 + nx = 40
nx = 39
n = 39/x
According to the question-
Initial Amount in piggy bank = 1 penny.
Now -
She adds -
2 Pennies on Day 1.
4 Pennies on Day 2.
8 Pennies on Day 3.
Therefore, the following sequence represents her collection -
1, 2, 4, 8 .....
It can be seen that each day corresponds to a unique amount of pennies in this sequence.
Now -
Vertical line test → to satisfy this test the graph should not have two or more points going through a vertical line.
Horizontal Line test → to clear this test the graph should not have two or more points going through a Horizontal line.
If we plot the graph of this function - Refer to image attached. It can be seen that the graph of this sequence passes horizontal line and vertical line test.
Hence, Options B, C and D are correct.
To solve more questions on Coulomb's law, visit the link below-
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5 + 2x/ 3x - 1 = 6/7
Step-by-step explanation:
5-1+0.85= -0.666x
4.85/-0.666= -0.666/-0.666x
x= -5.6
Which expressions are equivalent to square root 1188x^5? Check all that apply
In 1972, an item cost $0.28. Now the same item costs $1.02. What is the approximate percent increase of the cost of the item?
A.
27%
B.
73%
C.
264%
D.
364%
Answer:
B
Step-by-step explanation:
i did the test
A researcher wanted to know which type of toy 3-year-olds prefer for play. The researcher placed a tricycle, blocks, a train set, and puzzles in a room and observed how many of 20 children played with each type of toy. What is the k value for this study
Answer:
k = 4
Step-by-step explanation:
The formula for binomial probability distribution is;
P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)
Where C(n, k) is the number of possible ways that n number of people choose k.
While p is probability of success
In this question, 20 children want to choose from 4 toys namely tricycle, blocks, a train set, and puzzles.
This means that from binomial probability distribution formula, n = 20 and k = 4.
The two cones below are similar. What is the height of the larger cone?
Answer: B 35/4
Step-by-step explanation:
what is the measure of ABC?
Answer:
B
Step-by-step explanation:
The angle at the centre is equal to the arc that subtends it , thus
∠ ABC = arc AB = 75° → B
Please help me i dont know how to do this!!
Answer:
-1/2 is m and 3 is b
Step-by-step explanation:
-1/2 is the slope and 3 is the y-intercept,
Answer:
Step-by-step explanation:
The slope m is -1/2
The y-int b is 3
Since the slope is negative the graph should start from the top left and should go down all the way down to the bottom right. The line should also pass the point (0,3) since 3 is the y-int
Working together, Adam and JOhn can harvest a field in 8.18 hours. Had he done it alone it would have taken John 15 hours. Find how long it would take Adam to do it alone
On mercury, the distance d (in feet) that an object falls in time t(in seconds) can be modeled by the function f(t)=6t^2. how long would it take an object to fall 54 feet on Mercury. ( plz show the work on how u got the answer)
Answer: t=3.75
Step-by-step explanation:45=6t×2
6t=22.5
t=3.75
The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t².
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
Given the function,
f(t) = 6t² where t is time in seconds while f(t) is the distance in feet.
At f(t) = 54 feet
6t² = 54
t² = 54/6 = 9
t = 3 seconds
Hence "The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t²".
For more about the function,
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hurry guys i need help! ! ! !
Answer:
5: 15
10: 30
15: 45
20: 60
answer: ? = 60
Step-by-step explanation:
1
Select the correct answer.
Which expression is equivalent to sec2xcot?x?
O A Sin?x
O B. cScZx
OC. (1)/(cos^2x)
OD. (1)/(tan^2x)
Answer:
The equivalent expression is cosec2x
option B
Step-by-step explanation:
The correct question is ;
which expression is equivalent to sec2xcot2x?
Solution
Mathematically;
sec2x = 1/cos2x
cot2x = 1/tan2x
so we have
1/cos2x * 1/tan2x
recall that the product of tan and cos is sin
from the formula;
tan = sin/cos
so we have our final answer as;
1/sin2x
Kindly recall that ;
sin = 1/cosec
so therefore;
1/sin2x = csc2x
A banquet room is being carpeted. A floor plan of the room is shown.
The carpet costs $0.50 per millimeter. How much will it cost to carpet the room? Use 3.14 for LaTeX: \piπ .Round your answer no the nearest cent.
Answer: 144.84
Step-by-step explanation:
What is 45 percent of 37?
0.1665
1.665
16.65
166.5
Answer:
16.65
Step-by-step explanation:
37 * 0.45 = 16.65
Answer:
is it 16.65????
Step-by-step explanation:
lol i took the testtt
Question 2 (1 point) These allow electricity to flow easily through them (think copper and aluminum). (Lessons 5.01-5.03) Electric Currents Resistors Conductors Insulators
Answer:
copper and illuminum
Step-by-step explanation:
i got it right on the test
A 5-m ladder is resting against a wall. The
base of the ladder is 2 m along the ground
from the base of the wall. What angle does
the base of the ladder make with the ground?
Express your answer to the nearest tenth of a
degree.
Trent saved up $500 for summer vacation. If he spends $25 a week for eight weeks, how much money does he have left? Explain? (Can somebody help plz- )
Answer:300
Step-by-step explanation:
25*8 =200
500-200=300
Answer:
$300
Step-by-step explanation:
25 a week for 8 weeks is a total of 25*8 or 200 so he spent $200
500 - 200 is 300 so he has $300 left
Use polynomial identities to factor 64 + 27a^3
Answer:
(3a+4)(9a^2-12a+16)
Step-by-step explanation:
It's a perfect square :)
The factors of the given polynomial are (4+3a)(9a²-12a+16)
What is polynomial?A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations.
Given that, a polynomial, 64+27a³
Using identity : a³+b³ = (a+b)(a²-ab+b²)
We get,
= (4+3b)(4²-4x3a+(3a)²)
= (4+3a)(16-12a+9a²)
Hence, the factors of the given polynomial are (4+3a)(9a²-12a+16)
For more references on polynomials, click;
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Find the value of r so the line that passes through the pair of points has the given slope.
(12, 10) (-2, r), m = -4
Answer:
The missing value in the ordered pair is 66
Step-by-step explanation:
Given that:
(12,10) and (-2,r)
Slope = m = -4
We have to find the value of r so that the line has a slope of -4.
Slope is the steepness of line which is denoted by m.
Here,
[tex]x_1=12, y_1=10\\x_2=-2, y_2=r[/tex]
Putting the values in slope of line formula,
[tex]-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\[/tex]
Multiplying both sides by -14
[tex]-4*-14=\frac{r-10}{-14}*-14\\56=r-10\\56+10=r\\66=r\\ r=66[/tex]
The value of r is 66
Hence,
The missing value in the ordered pair is 66
In the xy-plane, the point (p,r) lies on the line with equation y=x+b, where b is a constant. The point with coordinates (2p,5r) lies on the line with equation y=2x+b. If p≠0, what is the value of r/p?
A)
2/5
B)
3/4
C)
4/3
D)
5/2
Answer:
hi
Step-by-step explanation:
I'm anmol kulkar from India thanks for free points by
Answer:
The correct answer is B,
3/4.
Step-by-step explanation:
choices A and D, you may have incorrectly formed your answer out of the coefficients in the point (2p,5r). If you picked Choice C, you may have confused r and p.
y=2x+b gives:
5r=2(2p)+b
5r=4p+b
b = 5r−4p.
Next, we can set the two equations equal to b equal to each other and simplify:
b=r−p=5r−4p
3p=4r
Finally, to find
r/p
divide both sides of the equation by p and by 4:
3p=4r
3=4r/p
3/4=r/p
