Answer:
[tex]y=x+3[/tex]
Step-by-step explanation:
What we need to know
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines have the same slope1) Rewrite the equation x - y = 5 into slope-intercept form and identify the slope
[tex]x - y = 5[/tex]
Subtract both sides by x
[tex]x - y -x= -x+5\\-y= -x+5[/tex]
Divide both sides by -1
[tex]y= x-5[/tex]
Now, we can tell clearly that the slope (m) of this line is 1. Therefore, a line parallel to this would also have a slope of 1.
Plugging 1 as m into [tex]y=mx+b[/tex], we get:
[tex]y=x+b[/tex]
2) Find the y-intercept (b) of the line parallel to [tex]y= x-5[/tex] and find the final equation
[tex]y=x+b[/tex]
Plug in the given point (-5,-2)
[tex]-2=-5+b[/tex]
Add 5 to both sides
[tex]-2+5=-5+b+5\\3=b[/tex]
Therefore, the y-intercept of this line is 3. Now, plugging this back into our original equation, we get:
[tex]y=x+b\\y=x+3[/tex]
I hope this helps!
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Answer:
12 sq cm
Step-by-step explanation:
Area of rectangular pyramid = Area of base which is square + 4 times the area of one triangle.
[tex] = {2}^{2} + 4( \frac{1}{2} \times 2 \times 2) \\ \\ = 4 + 4(2) \\ \\ = 4 + 8 \\ \\ = 12 \: {cm}^{2} [/tex]
4)Greg's backyard is 47 feet wide. How many yards and feet is this
Answer: 15 Yards 2 feet
Step-by-step explanation:
3 feet in a yard
45/3 = 15
2 remaining = 2 feet
Answer:
15.667 in yards
Step-by-step explanation:
A tree grows at a rate of 1.2 centimeters per day. How many meters will it grow in 80 days?
Answer:
0.96meters
Step-by-step explanation:
1.2*80 = 96
96cm = 0.96meters
Herons formula triangle is
Answer:
Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle when the length of all three sides are known. Unlike other triangle area formulae, there is no need to calculate angles or other distances in the triangle first.
Find the MEAN
Sandra's scores on the first 5 tests were 87%, 92%, 76%, 92%, and 89%.
Answer:
87.2
Step-by-step explanation:
Add them all up and divide by how many scores.
Write 98 as the product of prime factors.
Write the prime factors in ascending order.
Answer:
2 * 7 * 7 = 98
hope this answer helps you!
10. Silas has 5 1/4 cups of flour. He uses 3 1/2 cups to bake bread, then he borrows another 2 cups from his neighbor. He wants to bake cookies, which take 2 3/4 cups of flour. Does he have enough? How much will he have left over, or how much more does he need? a Yes, he has 1 cup left. B No, he needs 1 cup more. c Yes, he has 1 cup left. 0 No, he needs 1 cup more.
Answer:
A, Yes, he has 1 cup left
Step-by-step explanation:
5.25 at the start
5.25 - 3.5 = 1.75
1.75 + 2 = 3.75
3.75 - 2.75 = 1
Answer:
1
Step-by-step explantion:
bam theres the answer, its 1.
yes he has 1 cup left
If the y-intercept of your quadratic is (0,5) and your axis of symmetry is x=4,
determine a second point on your quadratic graph based on this information.
The axis of symmetry goes through the x-value. 4. So your equation for your axis of symmetry is going to be x equals. 0 (undetermined)
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Thanks
Please help photos for my math
Answer:
1. Surface Area = 122 Volume = 84
2. Surface Area = 1632 Volume = 2880
3. Surface area = 168 Volume = 144
4. Volume = 1350[tex]\pi[/tex]
Step-by-step explanation:
1. This is a rectangular prism. To find the surface area it is the same thing. Find the area of all sides and add them together. Because this is a rectangular prism most of the sides are equal so we will only need to find the area of three sides. To find the area of the right side, just do 4*3=12. That would be the same for the opposite side. Then to find the front side, do 7*4= 28. That would also be the same for the opposite side. Then to find the top side, do 7*3= 21. That is the same for the bottom side. Add them all together and you will get your answer. 28+28+21+21+12+12 = 122.
To find the volume of a rectangular prism the formula is V = l*w*h.
Plug in: V = 7*3*4 and then you will get 84.
2. This is a triangular prism. First find the area of the the triangular surface by multiplying the base x height and dividing by 2. (16*12)/2 = 96. That is the same for the opposite side. Then find the area of the bottom rectangular surface. 12*30 = 360. Then find the area of the back rectangular surface. 16*30 = 480. Then find the area of the final base rectangle. 30*20 = 600. Add them together and you will get 1632. Basically, find the area of all sides and then add them together.
To find volume the formula is, V = (1/2)a*c*h
Fill that in: V = (1/2)16*12*30 and then you will get 2880.
3. This is a trapezoidal prism. To find the surface area you would find the area of all sides then add them together. To find the are of a trapezoid, the formula is: A = [tex]\frac{a+b}{2}[/tex]h
Fill that in: A = [tex]\frac{4+12}{2}[/tex](6) and then you will get 48.
That is the same for the opposite side. Then you need to find the area of the rectangular side of the trapezoidal prism. 3*4= 12. This is also the same as the opposite side. The bottom side is 12*3= 36. The top side is 3*4= 12.
Add all of them together and you get 168.
1/2(4+12)*6
To find volume, V = [tex]\frac{1}{2}[/tex]h(b₁+b₂)h.
Fill in: V = [tex]\frac{1}{2}[/tex]6(12+4)3 and then you will get 144.
4. This is a cylinder. The formula to find the volume is A=[tex]\pi[/tex]r²h. Because you are leaving the answer in terms of pi, do not multiply pi into the equation.
So you would do r²h. 15² = 225. 225*6= 1350. So your answer would be 1350[tex]\pi[/tex].
How many ounces are in 2 pounds
Answer:
the answer is 32 ounces
Answer:
In 2 pounds, there are 32 ounces.
Explanation:
1 pound = 16 ounces
A right cylinder has a height of 8 inches and a volume of 400 cubic inches.
Which measurement is closest to the radius, in inches, of the cylinder?
A. 4
B. 8
С. 16
D. 50
Answer:
Step-by-step explanation:
its D because 400 divided by 8 is 50
[tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.
So, option A. is correct.
Volume of cylinderHeight of a cylinder [tex](h)=8[/tex] inches
Volume of a cylinder[tex]=400[/tex] cubic inches
Let [tex]r[/tex] denotes radius of a cylinder.
Volume of a cylinder [tex]=\pi r^2 h[/tex]
[tex]400=\frac{22}{7}r^2 (8)[/tex]
[tex]r^2=15.9\\r=3.99[/tex]
So, [tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.
So, option A. is correct.
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The area of the shape given above is?
Answer:
18 sq meters
Step-by-step explanation:
A = 1/2(3)(9 + 3)
A = 1/2(3)(12)
A = 18
(8)
Tricia used 2 bags of sugar to bake some cupcakes.
She used of another bag of sugar to make some macaroons.
How many bags of sugar did she use altogether?
bags of sugar
Answer:
She used 3.
Step-by-step explanation:
You have 2 bags.
You have another bag.
You use all of them.
How many did you use altogether?
3.
Tricia used 2.5 bags of sugar altogether.
What is an expression?In mathematics, an expression is a combination of numbers, variables, operators, and/or functions that represents a mathematical quantity or relationship. It can be as simple as a single number or variable, or it can be more complex, involving multiple terms and operations.
Tricia used 2 bags of sugar to make cupcakes and used 1/2 of another bag of sugar to make macaroons.
Therefore, the total amount of sugar she used is:
2 + 1/2 = 2.5 bags of sugar.
So, The number of bags Tricia used was 2.5 bags of sugar altogether.
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⚠️WILL GIVE BRAINLIEST!!!
Answer: 42 Units Cubed
Step-by-step explanation:
Volume of a Prism is typically length * width * height
in the problem the 5 and 1/4 is the area of that base so it is is the height and width already multiplied
so now just multiply the length, which is 8, to the area of the base to find the volume
[tex]8*5\frac{1}{4} \\8*\frac{21}{4} \\2*21\\42[/tex]
Answer:
[tex]volume \: = cross sectional \: area \times height \\ = 5 \ \frac{1}{4} units {}^{3} \times 8units \\ = \frac{21}{4} \times 8 \ \\ = 42units {}^{3} [/tex]
What is the volume of this container?
Answer:
420
Step-by-step explanation:
Can someone please help me I am a no brain and very dum
Suppose 12% of students surveyed said they have tried riding a zip line.
a. How many would say they have tried riding a zip line if 100 students were surveyed.
A) 120
B) 125
C) 50
D) 100
Which of the following is a degenerate circle?
O A. r?+ y2 = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)2 = 0
the Equation A. r²+ y² = 5 degenerate the circle.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,
(h, k) is the center of a circle,
"r" is the radius of the circle.
Only option A, r²+ y² = 5
Satisfies the general equation of the line,
thus, From option A the coordinates of the circle on the plane r-y
is (0, 0) and the radius of the circle will be √5.
From option B, x+y=7
It is the equation of the line.
From option C, x² + y² = -2
The sum of two squares can not be negative so it is not a real equation
From equation D, (x - 5)²+(y - 3)² = 0
The radius of a circle can not be zero otherwise it will become a point.
therefore, the Equation A. r²+ y² = 5 degenerate the circle.
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Complete question:
Which of the following is a degenerate circle?
O A. r²+ y² = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)² = 0
HELPPPPPPP PLZZZZ I DONT GET IT
Answer:
See below
Step-by-step explanation:
[tex]1) \: \frac{1}{2} \times 5 \times 6 = 15 \: {cm}^{2} \\ \\ 2) \: \frac{1}{2} \times 10 \times 6 = 30 \: {cm}^{2} \\ \\ 3) \: 5 \times 3 = 15 \: {cm}^{2} \\ \\ 4) \: 10 \times 6= 60\: {cm}^{2} [/tex]
what is the value of 2/5 ( 1/3 + 1/2)
Answer:
1/3
Step-by-step explanation:
Answer: 2/5 (1/3 + 1/2) = 1/3 ≅ 0.3333333
Step-by-step explanation:
Which describes the effect of the transformations on the graph of f(x) = x? when changed to f(x) = - (x - 2) + 3?
Answer:
Strerch by factor of 5 on y-axis.
Shift by 4 to the left on x-axis.
Shift by 6 up the y-axis.
Hope this helps.
Step-by-step explanation:
Let tan theta= 5/12, where sin theta> 0.
Find the exact value of sec theta
Answer:
5/13
Step-by-step explanation:
1. We are given tan(x)=5/12 .....(2)
2. On comparing the quantities we get that p=5 and b=12
3. We require the value of hypotenuse(h),
for this we apply the Pythagoreum theorum: p^2+b^2=h^2
⇒h^2=5^2+12^2
⇒h^2=25+144
⇒h^2=169
⇒ h=√169
⇒ h=13
Sin=p/h
p=5
h=13
Sin=5/13
The school is choosing a new mascot and new school colors. The choices for mascot are a lion, a bear, and a
porpoise, and the choices for colors are blue, black, brown, and grey. How many possible mascot and color
combinations are there?
Answer:
12 options
Step-by-step explanation:
Blue
Blue and Lion
Blue and Bear
Blue and Porpoise
Black
Black and Lion
Black and Bear
Black and Porpoise
Brown
Brown and Lion
Brown and Bear
Brown and Porpoise
Grey
Grey and Lion
Grey and Bear
Grey and Porpoise
There are 4 different colors and each of them can be assigned to 3 animals meaning there are 12 options to choose from
Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?
Answer:
231 dollars
Step-by-step explanation:
216*1.065(for the tax)=230.4 and since he is only paying bills you would add one more dollar to get 231
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a circular pizza that is 10 inches in diameter is cut into 8 equal slices. what is the area of one of the slices? round to the nearest tenth id needed
Question is down in the image|||
Answer:
A
Step-by-step explanation:
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Answer:
The second one, -11/12
Step-by-step explanation:
I used a website so sorry I don't have an explanation
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Answer:
Its D i did this before cause I do i-Ready to! <3
Write the equation in standard form, then identify center and radius of circle.
Answer:
Step-by-step explanation:
Given
x^2 + y^2 - 16y - 36 = 0
x^2 + y^2 - 16y = 36
x^2 + y^2 - 16y + (16/2)^2 = 36 + 8^2
x^2 + (y - 8)^2 = 64 + 36
x^2 + (y - 8)^2 = 100
The center is at (0,8) and the radius is 10
Try and follow it from the graph below.
IF PASSPORT is written as RCUURQTV, then how will BOOKLET be coded?
Answer:
im not completely sure but i think its either CQQMNFV or DRRNMGW
Step-by-step explanation:
