number 3 going across the x axis
number 5 going across the y axis
What are two numbers that has the product of 40 but has the sum of 13
Answer:
8 and 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
What are the factors of 40? 8 * 5
8 + 5 = 13
To do it algebraically gives you a quadratic:
A + B = 13
AB = 40
A(13 - A) = 40
A2 - 13A + 40 = 0
(A - 8)(A - 5) = 0
A = 8 and B = 5
What are the coordinates of vertex D to complete the square ABCD?
les -)
A)
(3,6)
B)
(4,7)
C)
(7,3)
D
(7,4)
Where the above is square, the coordinates are: (4, 7). This is obtained by simply tracing the A-D in equal distance with B and C.
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
A coordinate system is a framework for specifying the relative positions of objects in a specific region, such as an area on the earth's surface or the whole earth's surface. A geographic coordinate system determines locations on the world by using a three-dimensional spherical surface.
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Combine like terms 3x+8b+7x+11+6b=
Answer:
10x+14b+11
Step-by-step explanation:
3x+8b+7x+11+6b
3x+7x+8b+6b+11 = Regroup them
10x+14b+11 = Combine like terms
The requried, 3x+8b+7x+11+6b simplifies to 10x + 14b + 11.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
To combine like terms 3x+8b+7x+11+6b, we can add the coefficients of x, add the coefficients of b, and add the constant terms. So we have:
3x + 8b + 7x + 11 + 6b = (3x + 7x) + (8b + 6b) + 11
Combining the like terms:
= 10x + 14b + 11
Therefore, 3x+8b+7x+11+6b simplifies to 10x + 14b + 11.
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Prove
that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).
Answer:
Proved
Step-by-step explanation:
Given
[tex]B =(-2,-1)[/tex]
[tex]U = (0,3)[/tex]
[tex]G = (3,2)[/tex]
[tex]S = (4,-3)[/tex]
Required
Prove BUGS is a trapezoid
Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.
Taking BU and GS as a pair
First, we calculate the slope using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For BU
[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{3 - -1}{0- -2}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m = 2[/tex]
For GS
[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{-3-2}{4-3}[/tex]
[tex]m = \frac{-5}{1}[/tex]
[tex]m = -5[/tex]
The slope of BU and GS are not the same; hence, they are not parallel.
Taking BS and GU as a pair
Calculate the slope
For BS
[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{-3 - -1}{4- -2}[/tex]
[tex]m = \frac{-2}{6}[/tex]
[tex]m = -\frac{1}{3}[/tex]
For GU
[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{3-2}{0-3}[/tex]
[tex]m = \frac{1}{-3}[/tex]
[tex]m = -\frac{1}{3}[/tex]
The slope of BS and GU are the same; hence, they are parallel.
BUGS is a trapezoid because BS and GU have the same slope
What is the perimeter of the rectangle? L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwWmJyVDFqTFkzLXZ2RUFuT1lPWVJPbWl0N0JKUVhrVnZZbnVOQ19tOGgtNmwwQm12SkdMcDVnOU1aLWVoNUV6UURRcC1GZHFqTE42NWVMdGNsazl6Y0FPc0RaS1RDV0E5XzRCeW5RT3Z4MjRMLXdscy4wcUhHUHlaNlREN0dYWVAt?W=400&h=400 a 20 units b 18 units c 24 units d 22 units
Answer:
just do 400 times 400 witch is 1600
Step-by-step explanation:
A container of water is heated to 100°C. At this temperature, what will happen to the water
Answer: The water will start to boil.
Step-by-step explanation: Water boils at 100 C.
Answer:
I will boil I hope this answer was good!
Kim rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?
A - Eric rode 222 more miles per week than Kim rode.
B - Kim rode 333 more miles per week than Eric rode.
C - Kim rode 111111 more miles per week than Eric rode.
D - Eric rode 171717 more miles per week than Kim rode.
Answer:
Eric rode 2 more miles per week than Kim rode.
Step-by-step explanation:
Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:
135/9
= 15
Find how many miles per week Eric rode:
102/6
= 17
So, Kim rode 15 miles per week and Eric rode 17 miles per week.
The answer is Eric rode 2 more miles per week than Kim rode.
Answer:
A.
Step-by-step explanation:
The sides of a triangle are x cm, (x - 1) cm and (x + 2) cm. IF the perimeter is 29 cm, then the SHORTEST side is
Answer:
8 1/3
Step-by-step explanation:
x+(x-1)+(x+2)=29
3x+1=29
3x=28
x=9 1/3
9 1/3-1= 8 1/3
Your 6 and 2/3 year investment of $1,450 at 5.4% compounded monthly brought you a grand total of?
Answer:
$2,003.38
Step-by-step explanation:
Please help me, I need help
Answer:
x:5⁰
y:52⁰
Step-by-step explanation:
triangle:180⁰
the triangleis isoceles triangle so y:52⁰
so B is 72⁰
(14x+6)⁰=(14(5)+6)⁰=72⁰
Find the 9th term of the geometric sequence show below
-9x^4,27x^5,-81x^6
Answer:
Scale factor is -3
so,
243x^7
-729x^8
2187^9
HELP PLEASE QUICKLY!!! NO LINKS PLSS!!
1. The garden of the hotel has a certain shape as seen in the figure below. Teresa wants to plant roses in that garden The diagram shows the shape and dimensions of Teresa’s rose garden.
a. Find the area of the garden.
b. Teresa wants to buy mulch for her garden. One bag of mulch covers 12 square feet. How many bags will she need?
To the nearest cent, what is the ,begin emphasis,mean,end emphasis, weekly income of these employees?
Answer options with 4 options
A.$115.64
B.$138.05
C.$140.23
D.$157.38
Answer:
I think b?
Step-by-step explanation:
Answer:
157.38
Step-by-step explanation:
if you add all those numbers you will get 1888.59/12= 157.38
please help me if you can thank you.
Answer:
X. 120 Y. 30 Z. 36.5
Step-by-step explanation:
X. 360-107-133= 120
Y. Length of AB is equal to 120, so angles y and C are equal to 60. 60/2= 30
Z. 133+ 30= 163. 180-163= 17. Angle A and Z equal to 53.5. 53.5-17= 36.5
HELP ON THIS PLEASE GUYS :(
you have a brain, do it yourself
Mitch ate dinner at a restaurant. The bill came to $82. If he left an 18% tip, how much was the tip?
Answer:
14.76
Step-by-step explanation:
82 x .18 = 14 76 tip
10x = 2x -8 what is this answer
Answer:
x=-1
Step-by-step explanation:
Answer:
10x = 2x -8
-2x -2x
8x = -8
divide by 8
x = -1
Harper’s parents put $75 into her school lunch money account. Each meal she gets from school costs her $3.25. The school sends Harper’s parent’s an email when the balance reaches $19.75. Let m be the number of meals Harper has bought when they get the email. Set up and solve an equation to find the value of m.
A circular flower bed is 24 m in diameter and has a circular sidewalk around it 3 m wide. Find the area of the sidewalk in square meters
Answer:
120.105m^2
Step-by-step explanation:
Given data
Diameter of circular bed= 24+3m = 27m
radius= 27/2= 13.5 m
Diameter of side walk = 12
radius= 24= 12 m
Hence the area of the sidewalk is
Area= area of circular bed- area of side walk
Area=πR^2-πr^2
Area=π(R^2-r^2)
Area=π(13.5^2-12^2)
Area= 3.14(182.25-144)
Area= 3.14(38.25)
Area=120.105m^2
Hence the area of the side walk is 120.105m^2
ILL MARK YOU BRAINLEIST.
Finish each equation so that it has the correct solution or type of solutions:
3x + 4 = ______ no solutions
3x + 4 = ______ infinite solutions
3x + 4 = ______ solution is x = 4
3x + 4 = ______ solution is x = -3
3x + 4 = ______ solution is x = 1/2
Answer:
0
x
16
-5
5.5
Step-by-step explanation:
someone give me the rest of the answers please
the perimeter of a rectangle is 24 cm. if the length is y cm, what is the width?
Ava and Taha are staring up at a UFO. Ava is directly east of the UFO and Taha is directly west. Ava is 205 feet from the UFO and Taha is 195 feet from the UFO. Ava and Taha are 166 feet from each other. Find Ava's angle of elevation to the UFO in degrees.
Answer:
49.59°
Step-by-step explanation:
Using trigonometry, we can obtain AVA's angle of elevation to UFO
Using the relation :
Tanθ = opposite / Adjacent
Tan θ = 195 / 166
θ = tan⁻¹(195÷166)
= 49.59°
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = [tex]\frac{8\sqrt{3} }{3}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
x × [tex]\sqrt{3}[/tex] = 8 ( divide both sides by [tex]\sqrt{3}[/tex] )
x = [tex]\frac{8}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising the denominator )
x = [tex]\frac{8\sqrt{3} }{3}[/tex]
5. A 50-inch piece of wire is bent into the shape of a rectangle. Find the dimensions of the rectangle
of maximum area that can be formed from the wire,
Answer:
length = 12.5 in, width = 12.5 in, Area = 156.25 in²
Step-by-step explanation:
To get the maximum area, the wire can be shaped into a square. We can say that the length and width of the rectangle must be equal to each other, and call this value "x".
Therefore, we can write an equation for the perimeter:
2x + 2x = 50 4x = 50 x = 12.5The area of the rectangle is calculated using the formula:
A = lwOr in our case, the area of the rectangle is the area of a square:
A = x²Substitute x = 12.5 into this equation.
A = (12.5)² A = 156.25The maximum area that can be formed from the wire is 156.25 in², and the dimensions of the rectangle are 12.5 x 12.5 in.
What is the volume of the rectangular prism?
Height : 10 1/2 in.
Width : 2 3/4 in.
Length : 5 in.
Answer:
Step-by-step explanation:
volume=10 1/2 ×2 3/4 ×5
=21/2×11/4×5=1155/8=144 3/8 cubic inch
Help
Here are the city gas mileages for 13
different midsized cars in 2008.
SI
16, 15, 22, 21, 24, 19, 20, 20, 21, 27,
18, 21, 48
What is the maximum?
Enter
Answer:
48
Step-by-step explanation:
Because it’s the biggest number
A jar contains 18 marbles that are all the same size. It contains 7 purple, 3 green, and 8 orange marble. What is the probability of picking a green marble? Type your probability as a fraction in the simplest form.
Answer:
1/6
Step-by-step explanation:
3 out of 18 marbles are green. 3/18 can be reduced to 1/6 because both 3 and 18 are divisible by 3.
3/3=1
18/3=6
1/6
The probability of picking a green marble is 1/6.
To find the probability of picking a green marble, we need to consider the total number of marbles and the number of green marbles in the jar. The jar contains a total of 18 marbles, and out of these, there are 3 green marbles.
The probability of an event happening is calculated by dividing the number of favorable outcomes (in this case, the number of green marbles) by the total number of possible outcomes (the total number of marbles in the jar).
So, the probability of picking a green marble can be written as:
P(green marble) = Number of green marbles / Total number of marbles
Substituting the values, we get: P(green marble) = 3 / 18
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3. Dividing both 3 and 18 by 3, we get: P(green marble) = 1 / 6
Therefore, the probability of picking a green marble from the jar is 1/6. This means that if you randomly pick a marble from the jar, there is a 1 in 6 chance that it will be green.
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(PLEASE HELP)
Which of these statements about George’s integer must be true?
Answer:
Answer A is the correct answer.
Solve the equation 5y – 7x = 7 for y. 7 7 Oy x+ o y = 35x + 35 Оу — als 7 5 o y= 35 – 35x
Answer:
1st option
Step-by-step explanation:
Given
5y - 7x = 7 ( add 7x to both sides )
5y = 7x + 7 ( divide the terms by 5 )
y = [tex]\frac{7}{5}[/tex] x + [tex]\frac{7}{5}[/tex]