Answer:
a. 42
b. -12x-5
c. -60
d. -75
e. 66
f. -90
g. 144
h. -135
The gradient of the line passing through A (2,3), B (k,7) is
23
23
. Find the value of k. help pls
Given:
The gradient of the line passing through A(2,3), B(k,7) is [tex]\dfrac{2}{3}[/tex].
To find:
The value of k.
Solution:
The gradient or slope of a line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The gradient of the line passing through A(2,3), B(k,7) is [tex]\dfrac{2}{3}[/tex]. So,
[tex]\dfrac{2}{3}=\dfrac{7-3}{k-2}[/tex]
[tex]\dfrac{2}{3}=\dfrac{4}{k-2}[/tex]
On cross multiplication, we get
[tex]2(k-2)=4(3)[/tex]
[tex]2k-4=12[/tex]
[tex]2k=12+4[/tex]
[tex]2k=16[/tex]
Divide both sides by 2.
[tex]k=\dfrac{16}{2}[/tex]
[tex]k=8[/tex]
Therefore, the value of k is 8.
1 + 3 + 4 = 4 + 3 + 1. What property is being described here?
Associative Property of Addition
Commutative Property of Addition
Associative Property of Multiplication
Answer: Commutative property of addition
Step-by-step explanation:
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\text{1 + 3 + 4 = 4 + 3 + 1}[/tex]
[tex]\large\text{1 + 3 + 4}[/tex]
[tex]\large\text{4 + 4}[/tex]
[tex]\large\text{= \bf 8}[/tex]
[tex]\large\text{4 + 3 + 1}[/tex]
[tex]\large\text{7 + 1}[/tex]
[tex]\large\text{= \bf 8}[/tex]
[tex]\large\text{\bf 8 = 8}[/tex]
[tex]\large\textsf{We could remove Option C. because there’s no sign of multiplication.}[/tex]
[tex]\large\textsf{This leaves us to Option A and Option B because the equation(s) has}\\\large\textsf{sum/addition}[/tex]
[tex]\large\textsf{Associative Property of Addition formula is:}[/tex]
[tex]\bullet\large\text{ \bf (a + b) + c = a + (b + c)}[/tex]
[tex]\large\textsf{Commutative Property of Addition formula is:}[/tex]
[tex]\bullet\large\text{ \ \bf a + b = b + a}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf Commutative Property of Addition}}}\\\boxed{\huge\textsf{(Option B.)}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
subtract the following rational expressions
[tex] \frac{8k}{9k - 4} - \frac{3k^3}{2k + 7} [/tex]
please show all work
Answer:
-27k^4 +12k^3+16k^2+56k
---------------------
(9k-4)(2k+7)
Step-by-step explanation:
8k 3k^3
--------- - -----------
9k-4 2k+7
Get a common denominator
8k *(2k+7) 3k^3 *(9k-4)
--------- - -----------
(9k-4)(2k+7) (9k-4)(2k+7)
Combine
8k *(2k+7) -3k^3 *(9k-4)
---------------------
(9k-4)(2k+7)
Distribute
16k^2+56k -27k^4 +12k^3
---------------------
(9k-4)(2k+7)
-27k^4 +12k^3+16k^2+56k
---------------------
(9k-4)(2k+7)
What are the steps in order of operations
A rectangle has a perimeter of 80 cm and its length is 1 cm more than twice its width. Find the dimensions of a rectangle given that its perimeter is 80 cm and its length is 1 cm more than twice its width. Set up your solution using the variables L for the length, W for the width, and P for the perimeter. Part a: Using the definition of the perimeter, write an equation for P in terms of L and W. Part b: Using the relationship given in the problem statement, write an equation for L in terms of W. Solve the equations from parts a and b. Part c: The length is ? Cm. Part d: The width is? Cm.
Answer: (a) P = 6W + 2
(b) L = 2W + 1
(c) Width = 13cm
Length = 27cm
Step-by-step explanation:
The formula for perimeter of a rectangle is 2(length + width). Since the length is 1 cm more than twice its width, then the length will be:
L = (2 × W) + 1
(b) L = 2W + 1
Therefore, P = 2(L + W)
P = 2( 2W + 1) + 2W
P = 4W + 2 + 2W
(a) P = 6W + 2
Since perimeter is given as 80cm. Therefore,
P = 6W + 2
6W + 2 = 80
6W = 80 - 2
6W = 78
W = 78/6
W = 13
Width is 13cm
Length = 2W + 1
Length = 2(13) + 1
Length = 27cm
The width of the rectangle is 13cm and the length is 27cm.
Description of a rectangleA rectangle is a quadrilateral. Opposite sides are equal. The four angles in a rectangle is equal to 90 degrees.
The formula for determining the perimeter of a rectangle = 2x (length + width)
P = 2(L + W)
Perimeter = 80 length = 1 + 2w Width = w Determining the values of width and length80 = 2(1 + 2w + w)
80 = 2(1 + 3w)
40 = 1 + 3w
40 - 1 = 3w
39 = 3w
w = 13cm
Length = 1 + 2(13) = 27cm
To learn more about rectangles, please check: https://brainly.com/question/16595449
I WILL GIVE BRAINLIEST I NEED HELP NOW!!! I PROMISEThe table shows the relationship “Kevin read 35 pages per hour.”
Hours (h)
Pages (p)
1
35
2
70
3
105
4
140
5
175
Which statements are correct? Check all that apply.
The variable h is the independent variable.
The variable p is the independent variable.
The number of pages read increases as the amount of time decreases.
The number of hours spent reading causes a change in the number of pages read.
The variable p is the dependent variable.
The variable h is the dependent variable.
The more pages that are read, the less time it takes.
Answer:
The correct answers are:
The variable p is the independent variable.
The number of hours spent reading causes a change in the number of pages read.
The variable p is the dependent variable.
Step-by-step explanation: Hope this helps :)))
These two statements are correct and applicable
(1) The number of hours spent reading causes a change in the number of pages read.
(2) The variable p is the dependent variable.
What is a variable?"A Variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables."
What is a dependent variable?"A dependent variable is the variable that changes as a result of the independent variable manipulation."
What is a linear graph?"A Line graph is a graphical display of information that changes continuously over time. A line graph may also be referred to as a line chart. Within a line graph, there are points connecting the data to show a continuous change. A Line graph has two axes(X- axis and Y-axis)"
We have,
Kelvin read 35 pages per hour
According to the question,
Number of hours increasing, number of pages also increasing
∵ The table data shows linear graph
We can clearly say that from a line graph definition,
These two are correct and applicable to Kelvin's situation
(1) The number of hours spent reading causes a change in the number of pages read.
(2) The variable p is the dependent variable.
Learn more about Line graph and variable here
https://brainly.com/question/20106471
https://brainly.com/question/20291071
#SPJ2
Uma empresa do ramo de confecções produz e comercializa calças jeans. Se x representa a quantidade produzida e comercializada (em milhares de reais) e L(x) = -x² + 8x – 16 representa o lucro (em milhares de reais) da empresa para x unidades, então quando L(x) = 0 a empresa terá produzido e comercializadas quantas unidades dessas calças jeans? *
Answer:
I am in 5 classso i did not known answer
[tex] {2}^{x} - 3( {2}(^{x} + \frac{1}{2} )) + {2}^{2} = 0[/tex]
Can someone solve this equation?
Answer: [tex]\huge\boxed{x=log_2\frac{12\sqrt{2}+4}{17}}[/tex]
Step-by-step explanation: [tex]\displaystyle\ \bigg{2^x-3(2^{x+\frac{1}{2} }})+2^2=0 \qquad ; \ \ \boxed{t=2^x} \\\\t-3t\sqrt{2} +4=0 \\\\ t(1-3\sqrt{2} )=-4 \\\\ t=\frac{4}{3\sqrt{2} -1} \cdot \frac{3\sqrt{2}+1 }{3\sqrt{2}+1 } =\frac{12\sqrt{2}+4}{17} \\\\\\2^x=\frac{12\sqrt{2}+4}{17} \\\\x=log_2 \ \ \frac{12\sqrt{2}+4}{17}[/tex]
can someone help me out?
Step-by-step explanation:
does this mean the sale price includes the tax already ?
then we need to find 13% of the original price before taxes.
that would be done by saying that $101.94 are actuality 113% of the original price (original price = 100%, and then 13% are added).
101.94 = 113%
1% = 101.94/113
13% = 101.94 × 13/113 ≈ $11.73
that means it of the total sales price of $101.94, $11.73 would be the included taxes.
but if this means that 101.94 = 100% of the original price before taxes, we need to calculate the 13% based on that
101.94 = 100%
1% = 101.94/100
13% = 101.94 × 13/100 ≈ $13.25
and then the total price to be paid is
101.94 + 13.25 = $115.19
If PN=14, NO=20, PO=16, QR=55, and SR=44, find the perimeter of ΔQRS. Round your answer to the nearest tenth if necessary
Answer:
The perimeter of QRS is 137.5
Step-by-step explanation:
From the given interval angles, we can see that the two triangles are congruent
so it is expected that the ratios of their corresponding sides are equal
this is because; 83 + 53 + 44 = 180
Now, let us work with the side facing the angle marked 53 in both triangles
For the smaller, we have the measure as 16
for the bigger, we have the measure as 44
So the scale factor here is 44/16 = 11/4 = 2.75
We have to multiply the measure of the sides of the smaller triangle by 2.75 to get that of the bigger triangle
in similar vein, we have to multiply the perimeter we have in the smaller triangle by 2.75 to get that of the bigger triangle
The perimeter of the smaller would be the sum of the side lengths
we have this as;
14 + 20 + 16 = 50
So the perimeter of the bigger triangle would be;
2.75 * 50 = 137.5
Name a pair of vectors that are orthogonal but not perpendicular.
Answer:
For two vectors to be orthogonal it means that their dot product must be equal to zero.
Usually dot product of perpendicular vectors is zero and thus all perpendicular vectors are orthogonal.
if f(x)= 3^x+10x and g(x)= 2(x) = 2x - 4 find (f+g)(x)
Answer:
(f + g)(x) = 3^x + 12x -4
Step-by-step explanation:
Here, we want to get the value of (f + g)(x)
Mathematically, we have this as;
(f + g)(x) = f(x) + g(x)
= 3^x + 10x + 2x-4
= 3^x + 12x -4
Can someone help me with this math homework please!
Answer:
The first answer
Step-by-step explanation:
Domain refers to the set of x values and range refers to the set of y values. Since x goes from 0 to 3, and does not exclude any values within those numbers, the first answer applies to that set.
Answer:
option 1
that is
{t| 0 <= t <= 3}
Step-by-step explanation:
as the graph plots height ove time
time will be the domain, taken on the x axis, with values ranging from 0 to 3.
so the domain is
{t| 0 <= t <= 3}
Mei's average score on the first six holes in a miniature golf game was 6. her average score on the next 12 holes was 3. what was her average score on all 18 holes?
Answer:
72
Step-by-step explanation:
6*6 = 36
3*12 = 36
36 + 36 = 72
40 pointsanad brainliest for this, it's really important!
Step-by-step explanation:
C = 6 n + 4,500
the set up cost is represented by the initial value of the function, which is $4,500.
the ongoing cost of materials and labor is represented by the rate of change of the function, which is $6 per bottle.
solve for x. Round to the nearest tenth, if necessary.
Answer:
50.8°
Step-by-step explanation:
In ∆ IJK :-
sin x = 6.2/8 x = sin -¹ ( 62/80) x = sin -¹ ( 31/40 ) x = 50.8°Evan, James, and Burt are fishing in a lake that has 200 fish. They are going to be fishing for three hours. What is the probability that they each will catch 3 fish?
Answer:
The probability that they each will catch 3 fish is 0.000063956
Step-by-step explanation:
The hyper geometric distribution is used to solve this as it has a population, a sample , number of successes for both the population and sample.
Here
Population size= N =200
Sample size= n =9= (3*3)
Number of successes in population = k = 3 hours
Number of successes in sample = x= 3
Applying the hyper geometric distribution
P (x=3) = kCx *(N-k) C (n-x)/ N Cn
= 3 C 3 * 197 C 6/ 200 C 9
=0.000063956
The probability that they each will catch 3 fish is 0.000063956
Really struggling with these problems please help!
Solve.
[tex] \sqrt{10y + 24} - 3 = y + 1[/tex]
Answer:
[tex]y_1 = -2[/tex] and [tex]y_2 = 4[/tex]
Step-by-step explanation:
[tex] \sqrt{10y + 24} - 3 = y + 1[/tex]
Move the constant to the right-hand side and change their sign.
[tex] \sqrt{10y + 24} = y + 1 + 3 [/tex]
combine like terms
[tex] \sqrt{10y + 24} - 3 = y + 4[/tex]
Square both side to remove square brackets.
10y + 24 - 3 = y²+ 8y + 16
Move the expression to the left-hand side and change its sign.
10y + 24 - y² - 8y - 16 = 0
Combine like terms
10y - 8y + 24 - 16 - y² = 0
2y + 8 - y² = 0
Use commutative property to reorder the terms.
-y² + 2y + 8 = 0
Change the sign of expression.
y² -2y -8 = 0
split -2y
y² + 2y - 4y - 8 = 0
Factor out y from the first pair and -4 from the second equation.
y ( y + 2 ) - 4 ( y + 2 ) = 0
Factor out y+2 from the expression.
( y + 2 ) ( y - 4)
When the products and factors equals 0, at least one factor is 0.
y + 2 = 0
y - 4 = 0
Solve for y
y = -2
y = 4
When we plug the both solution as y we found that both is true solution of this equation.
This equation has two solutions which are -2 and 4.
Answer:
Solution given:
[tex] \sqrt{10y + 24} - 3 = y + 1[/tex]
keep the constant term in one side
[tex] \sqrt{10y + 24} =y+1+3[/tex]
solve possible one
[tex]\sqrt{10y+24}=y+4[/tex]
now
squaring both side
[tex](\sqrt{10y+24})²=(y+4)²[/tex]
10y+24=y²+8y+16
taking all term on one side
10y+24-y²-8y-16=0
solve like terms
8+2y-y²=0
doing middle term factorisation
8+4y-2y-y²=0
4(2+y)-y(2+y)=0
(2+y)(4-y)=0
either
y=-2
or
y=4
y=-2,4
Which of the Following best describes a cylinder?
Answer:
D
Step-by-step explanation:
all the options seems similar..but i can find the D more suitable
PLEASE HELP
1. what’s 7n +9+8(2n+5)-4=
2. 7n+9+8n+5-4n=
3. 7(a+3)-3a+2=
PLEASE HELP
Answer:
1)duno
2)duno
3)duno
Step-by-step explanation:
glad i can help hahahaahhaa
convert 1100111 into decimal numbers
Answer:
103 is my answer.
Step-by-step explanation:
hope it helps
Can someone help with problems fivethroughseven
Answer:
5) 15120
6) 11880
7) 336
Step-by-step explanation:
The formula for permutation where mPn is m!/(m-n)!
Applying this to question 5, we get 9!/4!, which is 15120.
For question 6, we get 12!/8!, which is 11880.
For question 7, we get 8!/5!, which is 336.
What should you substitute for y in the bottom equation to solve the system by the substitution method?
A. y=3x+15
B. y =-x-5
C. y=x+5
D. y=-3-15
what is asked in the problem
Answer:
what's the question?
Step-by-step explanation:
and the problem?
Answer:
Please could you add some more info.
Thank you
HELP. Drag the tiles to the correct boxes to complete the pairs.
Match each product of complex numbers with its value.
Answer:
[tex]i^{2} (2i^{2} -5)[/tex]
[tex]2i^{2} \times i^{2} -5i^{2}[/tex]
[tex]2(-1)(-1)-5(-1)[/tex]
[tex]2+5[/tex]
[tex]=7[/tex] [tex]i^{2}(2i-5)[/tex]
------------------
[tex]i^{2} (3+i^{2} )[/tex]
[tex]i^{2} \times 3+i^{2} \times i^{2}[/tex]
[tex](-1)3+(-1)(-1)[/tex]
[tex]-3+1[/tex]
[tex]-2[/tex] [tex]=i^{2} (3+i^{2} )[/tex]
---------------------
[tex]2i(2i-i^{3} )[/tex]
[tex]2i\times 2i-i^{3} \times2i[/tex]
[tex]4i^{2} -2i^{4}[/tex]
[tex]4(-1)-2(1)[/tex]
[tex]-4-2=[/tex]
[tex]-6=2i(2i-i^{3} )[/tex]
-------------------
[tex]i(4i^{3} -i)[/tex]
[tex]4i^{3} \times i-i\times i[/tex]
[tex]4i^{4} -i^{2}[/tex]
[tex]4(1)-(1)[/tex]
[tex]4+1=5[/tex]
--------------------
ANSWER:
[tex]-6\Longrightarrow 2i(2i-i^{3} )[/tex]
[tex]5\Longrightarrow i(4i^{3} -i)[/tex]
[tex]7\Longrightarrow i^{2} (2i-5)[/tex]
[tex]-2\Longrightarrow i^{2} (3+i^{2} )[/tex]
----------------------------
Hope it helps...
Have a great day!!
Please help me ASAP! Worth 11 points
Answer:
x axis, then translate x+6, y+1
Sierra king is a nail technician she allows 20 minutes for a manicure and 45 for a pedicure in her 7 hour work day no more than 5 pedicures can be scheduled each day the prices are $18 for a Medicare and $45 for a pedicure how many manicures and pedicures should ms.king schedule to maximize her daily income? what is her maximum daily income?
Answer: the income is 369$
Step-by-step explanation:
Clare has $150 in her bank account, She buys a bike for $200 whatsis Clare's balance now
Answer pls
Answer:
-50
Step-by-step explanation:
the diagram shows a square with perimeter 20cm
work out the percentage of the area shaded inside the square that is shaded
Answer:
70%
Step-by-step explanation:
Finding each side :-
4a = 20ma = 5 mFinding area of unshaded region :-
A = 1/2 * b * h A = 1/2 * 1.5 * 5 cm² A = 2.5 * 1.5 cm²A = 3.75 cm² Total unshaded region = 2*3.75 = 7.5 cm²Overall area :-
A = a²A = (5cm)²A = 25m²Finding percentage :-
% = 25 - 7.5 / 25 * 100 % = 17.5 * 4 % = 70Answer:70%
Step-by-step explanation:
Which inequality describes the graph?
Answer:
1 describe the inequality graph
