Answers
Answer:
y = 1/2x + 3
Step-by-step explanation:
Y= mx+b is slope-intercept form, m is for slope, and b is for my y-intercept. Also remember the pitch is the rise over the run or the y-direction over the x-direction.
In our case, they highlight 2 points to calculate the slope; looking at the graph, we can see it rises one and runs two to get to the second highlighted point at (2,4). And my slope is rise over run, so here it 1/2.
My b or y-intercept is simply three because that is where the line passes over or intercepts the Y-axis
Answer: y = 1/2 x + 3
Step-by-step explanation:
Related Questions
Mr.Jones is building a patio outside of his back door.The patio will be 8.5 ft long and 10.7 ft wide.What is the area of the patio that Mr.Jones is building?
Answers
Answer:
90.95
Step-by-step explanation:
pls help. I dont really understand these problems. fraction area and perimeter
Answers
Answer:
Perimeter: 14 9/10 cm
Area: 11 7/10 cm^2
Step-by-step explanation:
First, you must find the perimeter of the rectangle. The definition of perimeter in terms of mathematics are: the continuous line forming the boundary of a closed geometric figure. To find the perimeter of any shape, you must add up all the sides. Thus:
2 1/4 + 2 1/4 + 5 1/5 + 5 1/5 = ?
To put it simpler -
2(2 1/4 + 5 1/5) =
4 5/10 + 10 4/10 =
14 9/10 cm
Then, you must find the area of the rectangle. The definition of the area are: the extent or measurement of a surface or piece of land. In other words, the amount of space an object takes up. You must multiply the length and width of the rectangle to find the area.
Formula of area:
A = L x W
A = 2 1/4 x 5 1/5
A = 9/4 x 26/5
A = 234/20
A= 11 7/10 cm^2
To sum it up, the perimeter of the rectangle is 14 9/10 cm and the area 11 7/10 cm^2.
Identify the explicit formula for the sequence given by the following recursive formula:
(see picture below)
A) f(n) = 2 – 4(n – 1)
B) f(n) = –4 + 2(n – 1)
C) f(n) = 4 – 2(n – 1)
D) f(n) = –2 + 4(n – 1)
Answers
If f(n) = f(n - 1) + 4, then
f(n - 1) = f(n - 2) + 4
and substituting this into the first equation gives
f(n) = f(n - 2) + 2•4
Similarly,
f(n - 2) = f(n - 3) + 4
so that
f(n) = f(n - 3) + 3•4
and so on.
Note the pattern:
f(n) = f(n - k) + k•4
so that when k = n - 1, we have
f(n) = f(n - (n - 1)) + (n - 1)•4
or
f(n) = f(1) + 4 (n - 1)
so that
[D] f(n) = -2 + 4 (n - 1)
Determine whether the following relation is a function. Then state the domain and range of the relation or function.
{(5,0), (4, -6), (0, -3), (3,4), (1,1);
Is this relation a function? Choose the correct answer below.
O A. Yes, because each first component corresponds to more than one second component
O B. No, because each first component corresponds to exactly one second component.
O C. Yes, because each first component corresponds to exactly one second component.
Answers
Answer: A
It is a function and no x values repeat . If the x values repeat more than then it's not a function.
A cylinder with a diameter of 10 inches and a height of 12 inches. Determine the area of the cross section formed by slicing the cylinder down the center and perpendicular to the bases.
Answers
Answer:
188.571
if you did directly answer may differ
Step-by-step explanation:
you can see it from the picture above
The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.
What is a cylinder?"A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance".
For the given situation,
The diameter of the cylinder, d = 10 inches
The height of the cylinder, h = 12 inches
The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is a rectangle.
So, the length of the rectangle, l = 12 inches.
The breadth of the rectangle, b = 10 inches
The formula for the area of the rectangle is A= l × b
⇒ [tex]A=12[/tex] × [tex]10[/tex]
⇒ [tex]A=120[/tex]
Hence we can conclude that the area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.
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PLS HELP NO LINKS
A cardboard box has the dimensions 2 ft, 1.5 ft, and 1.2 ft. What is the volume of the box?
A. 3.2 ft
B. 3.6 ft
C. 4.7 ft
D. 14.4ft
Answers
Answer:
3.6 cubic feet
Step-by-step explanation:
The volume of the box is simply the product of the 3 sides. so [tex]2ft \times 1.5ft \times 1.2 ft = 3.6 ft^3[/tex]
A triangle and a square are drawn on dotty paper with dots 1 cm apart. What is the area of the region coloured red?
Answers
Answer:
≈ 0.9 cm²
Step-by-step explanation:
I don't know if there is any easier way to solve this, I use 8th grade slope and line method to solve. suppose A is on origin, then the coordinates of triangle ABC are (0,0) (1,3) (4,1) and polygon DEFGH intersect line BC at F and G.
F is the intersect of y=2 and line BC, while G is intersect of x=3 and line BC.
Line BC: pass (1,3) and slope (m) = (1-3)/(4-1) = - 2/3,
F(x,2)
(2-3) / (x-1) = -2/3
2x-2 = 3 x = 2.5
*F (2.5 , 2)
G (3,y)
(y-3) / (3-1) = -2/3 y = 5/3
*G (3 , 5/3)
*point I (3 , 2)
segment FI = 3-2.5 = 0.5 = 1/2
segment GI = 2 - 5/3 = 1/3
area ΔFIG = (1/2 * 1/3) / 2 = 1/12 = 0.083
area of polygon DEFGH (region colored RED) = 1 - 0.083 = 0.917 ≈ 0.9 cm²
a storage tank is 60% filled with chemical solution. The storage tank holds 1,280 liters of chemical solution. How many liters of chemical solution are needed to fill the storage tank to the top?
Answers
Answer:
Step-by-step explanation:
write a proportion and cross multiply to solve for x
[tex]\frac{60}{100} = \frac{x}{1280}[/tex]
100x=76,800
x=768
60% full is 768 L. If the tank can hold 1,280 Liters, you need 512 more to fill it.
Alternatively...if the tank is 60% full, we need 40% more to fill it
[tex]\frac{40}{100} =\frac{x}{1280}[/tex]
100x=51,200
x=512 L
find the area enclosed by the figure
Answers
Answer:
2677 mi^2
Step-by-step explanation:
Think the shape as an complete rectangle :
The area of the rectangle is calcluated by multiplying height*width
(24+12+19)*55 = 3025 mi^2 now subtract the area of the missing part using same area calculation method:
12*29 = 348 mi^2 the area of the figure:
3025 - 348 = 2677 mi^2
Measurements should ALWAYS include units in conversion problems?
A. True
B. False
Answers
The answer would be
A. True
Shown is a pentagon, with the size of
each angle shown. Work out the largest angle.
Answers
Answer:
160°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 , then
sum = 180° × 3 = 540°
sum the interior angles and equate to 540
x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is
7x + 50 = 540 ( subtract 50 from both sides )
7x = 490 ( divide both sides by 7 )
x = 70
Then
largest angle = 2x + 10 = 2(70) + 10 = 140 + 10 = 150°
The solution is : the largest angle is 150°.
What is the polygon?A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.
here, we have,
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 , then
sum = 180° × 3 = 540°
sum the interior angles and equate to 540
x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is
7x + 50 = 540 ( subtract 50 from both sides )
7x = 490 ( divide both sides by 7 )
x = 70
Then
largest angle = 2x + 10
= 2(70) + 10
= 140 + 10
= 150°
Hence, The solution is : the largest angle is 150°.
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Bob spends $650 for a gym membership plus $75 for each hour with a personal trainer. Is the description linear or exponential?
Answers
Answer:
y = 75x + 650
So I think it's linear.
Question 3 help pls
Answers
Answer:
< greater than
Step-by-step explanation:
u need to turn each one into decimals than find out which ones greater that's how you'll get your answer
Answer: The answer would be D
The following system of equations will be used to answer all remaining questions.
(8 - 12)
x + 2y = 11
2x + 3y = 18
=
Write the system as a matrix equation then identify the coefficient matrix.
Answers
The given equation above written in the form AX = b will be;
[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]
Given the system of equation;
x + 2y = 11 2x + 3y = 18This equation can be represented in matrix form as [tex]AX = b[/tex]
where:
A is the coefficient of the matrixX is the variablesb is a column matrixThe given equation above written in the form AX = b will be;
[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]
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(a) 95% of what is 57?
(b) What number is 35% of 40?
Answers
Answer:
a=54.15 and b=14
Step-by-step explanation:
When a number is divided by 5, it has a remainder of 4.
The number is between 35 and 40.
What is the number?
Answers
Answer:
37
Step-by-step explanation:
I plugged in the numbers between 35 and 40 and got this. No problem. :)
A student received scores of 85 and 78 on the first two exams. All exams have a maximum score of 100. What are the possible scores the student could receive on the third exam so that the average of the three exams is at least 80Write your answer in interval notation
Answers
Based on the information given, the student should score at least 77 in the last exam.
Since the student wants to get an average of at least 80. Therefore, the total scores should be:
= 80 × 3 = 240
The student received scores of 85 and 78 on the first two exams. The addition of this will be:
= 85 + 78 = 163
Therefore, his score in the last exam should be:
= 240 - 163
= 77
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A triangle has two sides of length 9 and 3. What is the smallest possible whole-number length
for the third side?
Answers
Answer:
The answer is 11
Step-by-step explanation:
hope this helps a little bit
22% of x is 26.4 Find X
Answers
Answer:
x=120
Step-by-step explanation:
this is obtained by finding 22% of x, and equating it to the answer as shown below
x *22/100 = 26.4
22x/100 = 26.4
22x = 2640
x =120
Simplify. −3(2.1x−6.72)+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96
Answers
Answer: -29.9x+37.6
Step by step answer: Use PEMDAS rule
−3(2.1x−6.72)+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96
Use the distrubitive property
-6.3x+20.16+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96
-6.3x+20.96−5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96
Reorder/group x's and whole numbers
-6.3x-5.5x-6.3x-5.5x-6.3x+20.96+20.16-5.92-19.36+20.96
-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-5.92-19.36+20.96
-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-5.92+1.6
-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-3.52
-11.8x-6.3x-5.5x-6.3x+41.12-3.52
-18.1-5.5x-6.3x+41.12-3.52
-23.6x-6.3x+41.12-3.52
-29.9x+41.12-3.52
-29.9x+37.6
The expression 0.6+0.08n can be used to find the cost, in dollars, of making n photocopies. How much will clayton have to pay to make 32 photocopies?
Answers
Answer:
26.2
Step-by-step explanation:
Answer:
$3.16
Step-by-step explanation:
0.6+0.08n
Since n represents photocopies, then we replace n with 32.
0.6+0.08(32)
Now we multiply.
0.6+2.56
Finally, add.
0.6+2.56=3.16
So, Clayton will have to pay $3.16 to make 32 photocopies.
-hope it helps
the question is what is 4p - 9
Answers
Answer:
4xp-9
Step-by-step explanation:
Mr Moore has 4 types of ice cream flavors. Each flavor can make 15 individual ice creams. 70% of these ice creams are in waffle cone. How many of these ice creams are in a waffle cone?
Answers
Answer:
42 ice creams in a waffle cone
Step-by-step explanation:
First we try to find how many ice cream does Mr. Moore has:
4*15=60 ice cream
It is said it 70% of these ice creams are in waffle cones. So 60*70/100= 60*7/10=6*7=42 ice creams in a waffle cone.
help pls :) solve x+4/3 = 3/x-4
i’ve also attached a picture of the problem if you get confused on the typing
Answers
Answer:
x= 5 or x= -5
Step-by-step explanation:
[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]
Cross multiply:
(x +4)(x -4)= 3(3)
Expand:
[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]
x² -4²= 9
x² -16= 9
+16 on both sides:
x²= 9 +16
x²= 25
Square root both sides:
[tex]x = ± \sqrt{25} [/tex]
x= 5 or x= -5
Given that:
[(x+4)/3] = [3/(x-4)]
We know that
(a/b) = (c/d)
⇛a(d) = b(c)
Now,
By using cross multiplying fraction, we get
⇛x+4(x-4) = 3(3)
⇛x(x-4) + 4(x-4) = 9
⇛x² - 4x + 4x - 16 = 9
⇛x² - 0 -16 = 9
⇛x² = 9+16
⇛x² = 25
⇛x = √(25)
⇛x = ±√(5*5)
⇛x = ±5 = +5 or -5 Ans.
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Use the image to solve for t,
Please and thank you!
Answers
Since the two triangles are congruent, we can square the triangle's side to find 't'.
=> 5² = t = 25=> 4² = s = 16=> 3² = 9Conclusion:Therefore, t equals 25.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
PLEASE HELP WILL MARK BRAINIEST!!!!!!!
Answers
Answer:
Option a is the best method with compass and straight edge.
Step-by-step explanation:
Tutorial
A line with a slope of 1 passes through the point (-2, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y = x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 , then
y = x + c ← is the partial equation
To find c substitute (- 2, - 3 ) into the partial equation
- 3 = - 2 + c ⇒ c = - 3 + 2 = - 1
y = x - 1 ← equation of line
24. Solve for x: 3x - 2(x - 4) = 5(2x + 4) -3
Answers
x=-1
3x-2x+8=10x+20-3
x+8=10x+17
-9x=9
x=-1
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]x-2\left(x-4\right)=5\left(2x+4\right)-3[/tex]
[tex]-2\left(x-4\right)\\\mathrm{Distribute}\\-2x+8[/tex]
[tex]3x-2x+8=5\left(2x+4\right)-3[/tex]
[tex]\mathrm{Combine\: like\: terms}[/tex]
[tex]x+8=5\left(2x+4\right)-3[/tex]
[tex]\left(2x+4\right)-3\\\mathrm{Distribute}\\10x+20-3\\10x+17[/tex]
[tex]x+8=10x+17[/tex]
[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]
[tex]x+8-8=10x+17-8[/tex]
[tex]x=10x+9[/tex]
[tex]\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}[/tex]
[tex]x-10x=10x+9-10x[/tex]
[tex]-9x=9[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-9[/tex]
[tex]\frac{-9x}{-9}=\frac{9}{-9}[/tex]
[tex]\bold{x=-1}[/tex]
2-6² +4 2
please help it's review for my finals
Answers
Answer: I don’t know :(
Step-by-step explanation:
Answer:
8
Have an amazing day!
in simplest terms: (-5x-7)-(-4x-6)(−5x−7)−(−4x−6)
Answers
Answer:
-20x^2-59x-43
Step-by-step explanation: