Answer:
slope intercept form y = m x +C
[tex]y = \frac{4x}{3} -\frac{40}{3}[/tex]
Step-by-step explanation:
step(i):-
Given two points are A (7,-4) and B(-1,2)
Slope of two lines formula
[tex]m= \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{-1-7}{2-(-4)} =\frac{-8}{6} = \frac{4}{3}[/tex]
Step(ii):-
The equation of the straight line passing through the two points
y-y₁ = m(x-x₁)
Let (x₁ , y₁) = (7,-4)
y - (-4) =[tex]\frac{4}{3}[/tex] (x-7)
On cross multiplication , we get
3(y+4) = 4(x-7)
3 y +12 = 4 x -28
subtract '12' on both sides , we get
3 y = 4 x -28 -12
3 y = 4 x - 40
Dividing '3' on both sides, we get
Now slope intercept form y = m x +C
[tex]y = \frac{4x}{3} -\frac{40}{3}[/tex]
Final answer:-
slope intercept form y = m x +C
[tex]y = \frac{4x}{3} -\frac{40}{3}[/tex]
Radha is trying to choose between two bike rental companies, Comapny A and Company B. Company A charges a $25 initial fee and additional $5 for each hour rented . Company B charges an initial $18 fee and an additional $6
a girl was 6 and sister was 2,the girl is now 24,how old is the sister?
Answer:
The sister is 20
Step-by-step explanation:
The sister is 4 years younger than the girl.
sec²θ=4+2tan²θ
Find θ
Recall the Pythagorean identity,
[tex]\sec^2\theta=1+\tan^2\theta[/tex]
So we have
[tex]\sec^2\theta=4+2\tan^2\theta[/tex]
[tex]1+\tan^2\theta=4+2\tan^2\theta[/tex]
[tex]-3=\tan^2\theta[/tex]
But squaring any real number always gives a non-negative number, so there are no real solutions to this equation.
Rewrite from largest to smallest 2.09,2.9,2.59
Answer:
2.09, 2.59, 2.9
Step-by-step explanation:
Answer:
2.09, 2.59, 2.9
Step-by-step explanation:
hope this helps have a wonderful day
how many numbers do y’all see? add them all together- once u have found them all.
Answer:
24
Step-by-step explanation:
6+2+0+4+1+3+8=24
All the numbers to see are, 6, 8, 0, 2, 4, 1.
And, The sum of all the numbers are 21.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Here,
In the figure,
All the numbers which can be seen are,
⇒ 6, 8, 0, 2, 4, 1
Now, Add all the numbers, we get;
⇒ 6 + 8 + 0 + 2 + 4 + 1
⇒ 21
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Can anyone plz answer the question?? It's in the photo. Thanks!
Answer:
11 because 10x2=20 and the 220 divided by 20 =11
Step-by-step explanation:
Let the speed of the train going from Boston to New York = X
Let the distance from Boston to when the trains meet = Y
The distance to New York when they meet would be 220 - Y
The Boston to New York train would be: Y = (2X-10)*2
New York to Boston train would be : 220 -Y = 2X
Using substitution:
220-(2X-10)*2 = 2X
Simplify the left side:
220 - 4X+20 = 2X
Add 4x to both sides and combine like terms:
240 = 6X
Divide both sides by 6:
x = 40
Now find distance from Boston by replacing x with 40"
Y = (2(40)-10)*2
Y = 160 -20
Y = 140 miles
How many solutions does the system formed by x - y = 9 and
ay - ax + 90 = 0 have for a nonzero number a ? Give your answer and
complete the explanation.
a
The system has (select) solution(s). Rearranging the left side of the
2nd equation and subtracting 9a from both sides gives -ax + ay =
Dividing both sides by -a gives x - y = So, the equations describe
the same line.
Answer:
infinite-99Step-by-step explanation:
If you read through the bottom paragraph, you see it concludes with, "the equations describe the same line." This means the system has infinite solutions, because the two lines intersect everywhere.
__
The rest of the solution is described in the paragraph. Starting with the rearranged form
-ax +ay +9a = 0
"subtract 9a from both sides" means you now have ...
-ax +ay +9a -9a = 0 -9a
or
-ax +ay = -9a . . . . . . . . "-9" goes in the first box
__
Now, dividing by -a gives you ...
(-ax)/(-a) +(ay)/(-a) + (-9a)/(-a)
x - y = 9 . . . . . . . . . . . . "9" goes in the second box, confirmed by the following statement that the equations (this, and x - y = 9) "describe the same line".
A seed sprouted and grew 2/3 of a foot in 3 months. What was its rate of growth?
Answer:
2/9 of a foot in one month / 8/3 inches in one month
Step-by-step explanation:
Answer:
2/9 of a foot
Step-by-step explanation:
It grows 2/3 ft in 3 months
Therefore it grows in one month
2/3. / 3 = 2/3 × 1/3= 2/9 of a foot
Rate is the amount taken for one of a unit of measure, in this case, it is month.
leroy draws a rectangle that has a length of 11.9 centimiters and a width of 7.6 centimieters.how much longer is the length than the width of leroys rectangle
Answer:
4.3 cm
Step-by-step explanation:
length - width: 11.9 - 7.6 = 4.3
The required answer is 4.3 cm.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Here given that,
He draws a rectangle that has a length of 11.9 cm.
And, a width of 7.6 cm
The required answer is:
length - width: 11.9 - 7.6 = 4.3
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Someone please help me with this :3
Answer:
2
Step-by-step explanation:
[tex]\dfrac{\frac{2}{3}}{\frac{1}{3}}=\frac{2}{3}\cdot \frac{3}{1}=\frac{6}{3}=2[/tex]. Hope this helps!
Answer:
2/3 divided by 1/3
Multiply the reciprical
2/3 x 3/1 = 6/3
6/3=2
2 is your answer
Step-by-step explanation:
Which graph shows the solution to the system of linear inequalities? 2x – 3y <12 y < –3
Answer:
-3 please brainliest me PLease i expain it too
Step-by-step explanation:
Let's put the equation into point slope for
-3y < -2x + 12
Divide by -3
y < 2/3x - 4
The answer is the first one because the shades are pointing down.
y < -3 means the shade points down y because y is less than -3
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The inequality 2x – 3y <12 and y < –3 is shown in the third graph.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The inequalities are:
2x -3y ≤ 12
y < -3
First, for the second inequality, we can see that y must be strictly less than -3, so we should see a dotted line at y = 3, and a shaded section under that line.
From this, we can discard the second graph (the middle one).
The first inequality can be rewritten as:
2x - 3y ≤ 12
-3y ≤ 12 - 2x
Now we divide by -3 into both sides, as we are dividing by a negative number, the direction of the ≤ sign changes:
y ≥ (12/-3) + (-2/-3)x = -4 + (2/3)*x
This means that the shaded section must be above the line:
y = -4 + (2/3)*x
Therefore, the inequality 2x – 3y <12 and y < –3 is shown in the third graph.
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Triangle ABC work out area of triangle
Answer:
Step-by-step explanation:I don't say you must have to mark my ans as brainliest but my friend if it has really helped you plz don't forget to thank me...
Answer:
2.5*4.6*0.5
= 2.5*2.3
= 5.75
Rounded to one decimal = 5.8
What is the surface area of the cylinder? Express the answer in terms of Pi?
Cylinder. Diameter 8 centimeters. Height 18 centimeters
a
176π cm2
b
304π cm2
c
152π cm2
d
792π cm2
Answer:
A
Step-by-step explanation:
Lids
It is not clear how many lids the cylinder has or perhaps it is a solid. I'll say it has 2 lids.
The surface area of one lid = pi * r^2
r = 4
The surface area of one lid is pi*4^2 =16 pi
The surface area of two lids is 32*pi
Body
Length of the body = pi * d
Length of the body = 8 * pi cm
Height of the body = 18 cm
Area = l*h
Area = 8pi * 18 cm
Area = 144 pi
Total
Total Area = 32 pi + 144pi
Area = 176 pi cm^2
whats the answer for G over 13 equals 52
Answer:
g = 676
Step-by-step explanation:
Multiply by 13:
g/13 = 52
13(g/13) = 13(52)
g = 676
Suppose A is an m × n matrix in which m> n. Suppose also that the rank of A equals n Show that A is one to one. Hint: If not, there exists a vector x such that Ax = 0, and this implies at least one column of A is a linear combination of the others. Show this would require the rank to be less than n.
Step-by-step explanation:
If T:Rn→Rm is a linear transformation and if A is the standard matrix of T, then the following are equivalent:
1. T is one-to-one.
2. T(x) = 0 has only the trivial solution x=0.
3. If A is the standard matrix of T, then the columns of A are linearly independent.
Here, A is a mxn matrix where m ≥ n and the rank of A equals n. It implies that the columns of A are linearly independent, for, otherwise, the rank of A would be less than n. Hence the linear transformation represented by A is one-to-one.
9. Mark drinks one cup of coffee everyday. He orders a coffee from Dunkin Donuts and it costs him $3.50 everyday. He is starting to think that he might buy a Keurig and k-cups instead. The Keurig is $150 and each k-cup costs $0.50. How many cups of coffee will it take for the cost at Dunkin Donuts to be the same as having a Keurig and k-cups?
Answer: 50 cups of coffee
Step-by-step explanation:
Let x represent the number of cups of coffee that it will take for the cost at Dunkin Donuts to be the same as having a Keurig and k-cups.
He orders a coffee from Dunkin Donuts and it costs him $3.50 everyday. It means that the cost of ordering x cups would be 3.5x.
The Keurig is $150 and each k-cup costs $0.50. It means that the cost of ordering x cups would be 150 + 0.5x.
For the ordering cost to be the same, it means that
3.5x = 150 + 0.5x
3.5x - 0.5x = 150
3x = 150
x = 150/3
x = 50
Y is directly proportional to x when x=600 y=10 find a formula for y in terms of x
Answer:
y = x/60
Step-by-step explanation:
y = kx
k = y / x = 10/600 = 1/60
y = x/60
[tex]y[/tex] is directly proportional to [tex]x[/tex] when [tex]x=600[/tex] and [tex]y=10[/tex] then the formula for [tex]y[/tex] in terms of [tex]x[/tex] is given as [tex]y=\frac{1}{60} x[/tex] .
What is directly proportional?We say that, [tex]y[/tex] and [tex]x[/tex] are directly proportional, if [tex]\frac{y}{x} =k[/tex] or [tex]y=kx[/tex].
So,
According to the question;
[tex]x=600[/tex]
[tex]y=10[/tex]
From the above statement;
[tex]\frac{10}{600} =k[/tex]
[tex]k = \frac{1}{60}[/tex] ,
So,
[tex]y[/tex] in terms of [tex]x[/tex] is given by,
[tex]y=\frac{1}{60} x[/tex]
Hence, we can say that [tex]y[/tex] is directly proportional to [tex]x[/tex] when [tex]x=600[/tex] and [tex]y=10[/tex] then the formula for [tex]y[/tex] in terms of [tex]x[/tex] is given as [tex]y=\frac{1}{60} x[/tex] .
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4. A circle has a circumference of 100 cm. What is the radius of the circle?
A 10
B. 15
C. 100
D200
Answer:
[tex]15.90cm[/tex]
hope this helps
brainliest appreciated!
good luck! have a nice day!
Themes in The Heart of a Samurai?
Answer:
Family. Family is what you make of it in Heart of a Samurai.
Language and Communication.
Principles.
Art and Culture.
Identity.
Change.
Society and Class.
Step-by-step explanation:
Hope this helps:)
A girl was 6 and sister was 2,the girl is now 24,how old is the sister
Answer:
20
Step-by-step explanation:
There is 6-2 =4 years between them
24-4 =20
The sister is 20
Answer: 20 years old
Step-by-step explanation: So, we know the girl is 4 years older than the sister...how do we know that? Because...
6 - 2 = 4
She's 4 years older...we know the girl is 24, then the sister must be 20.
24 - 4 - 20...
The sister is 20 years old, I hope this helps
A recipe calls for one-half of a tablespoon of baking powder for 3 cups of flour. How
many tablespoons of baking powder is needed if 1 cup of flour is used?
A: 1/6
B: 1/4
C: 1/2
D: 1 1/2
Answer:1/4
Step-by-step explanation:
4(5x + 3y) equal expressions
Answer:
20x + 12y
Step-by-step explanation:
Apply distributive property.
(4 * 5x) + (4 * 3y)
=> (20x) + (12y)
Answer:
=(4)(5x+3y)
=(4)(5x)+(4)(3y)
=20x+12y
Step-by-step explanation:
=(4)(5x+3y)
=(4)(5x)+(4)(3y)
=20x+12y
Answers above.
Hope this helps.
How do I find a radius of a can?
Answer:
Several ways, take the diameter and divide it by half.
Take the circumference "C" and r = C/2π
Step-by-step explanation:
What is the value of h?
40°
h = 20
h = 35
n = 55
h = 70
Answer:
55
Step-by-step explanation:
All triangles have a sum of 180°
180 - 40 = 140
Since the triangle is an isosceles triangle, then you are going to divide 140 by 2 because the base angles of an isosceles triangle are congruent.
140 / 2 = 70
Now that we know that the measurement of the two base angles is 70, we can find h.
2h represents the exterior angles. Exterior angles are always supplementary to the interior angles. So, we can simply subtract 70 from 180.
180 - 70 = 110
Now, we can divide 110 by 2 to find h.
110 / 2 = 55
So, h equals 55. So, the answer is the third option.
92+ 56/14−x =100.
Plz answer fast
Step-by-step explanation:
don't forget about PEMDAS
Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction
first you're going to want to do 56 / 14.
Please help me?? I am struggling and i need help :?/
I will mark you as the brainliest and i will give you points :)
Answer:
ZYX- CBA
Step-by-step explanation:
ZYX is backwards
so cba needs to be too
Answer:
ZYX-CBA
Step-by-step explanation:
welcome
What' the mean 3,2,2,12 6,5,14,4
Answer: 6
Explanation: The mean of a data set is the sum of the numbers in the data set divided by however many numbers are in the data set.
So, let's begin by adding the numbers.
So we have 3 + 2 + 2 + 12 + 6 + 5 + 14 + 4 which is 48.
Now we divide 48 by the number of numbers in the set which is 8.
48 ÷ 8 is 6.
So the mean of the given data set is 6.
Ashley mixes two types of soft drinks with different types of concentration: one soft drink has 20% sugar and the other drink has 45% sugar.
Each can has 250 milliliters of soda drink .
What is the sugar concentration of the mixed soft drink
Answer:
32.5% sugar
Step-by-step explanation:
You want to know the sugar concentration in the mix of two 250-mL cans of soft drink, one of which is 20% sugar, and the other of which is 45% sugar.
Weighted averageThe fraction of sugar in the mix is the weighted average of the fractions in the contributors. The weights are the volumes. Since the volumes are equal, the weights are equal, so the fraction in the final mix is simply the average of the two fractions:
(20% +45%)/2 = 65%/2 = 32.5%
The sugar concentration of the mixed soft drink is 32.5%.
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.
Expression A: 0.2p
Expression B: 0.8p
Expression C: 1-0.2p
Expression D: p-0.2p
Expression E: p-0.8p
Which two expression each represent the sale price of the item?
Expression A and E
Expression B and C
Expression B and D
Expression C and D
Answer:
B
Step-by-step explanation:
A circle has an area of 49 cm^2. how do I find the circumference?
Answer:
28.81cm
Step-by-step explanation:
c=2TTy