Answers
Answer:
a. 7 by 21
b. a(-12, 2), b(-12, -5), c(9, -5)
Step-by-step explanation:
AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.
Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21. Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).
Related Questions
Write the equation of a line that passes through the point (-4,-5) and is perpendicular to the line y= -1/2x+5
Answers
Answer:
Step-by-step explanation:
First let us determine the perpendicular line by remembering that a perpendicular line that intersects with the current line must have the opposite reciprocal slope as it. Meaning... the current slope is -1/2 and the opposite reciprocal is +2 or 2.
To clarify...
*opposite= the opposite sign ex. the opposite of +3 is -3 and the opposite of -1 is +1
*reciprocal=put simply, the reciprocal is the flipped version of the current number ex. the reciprocal of 1/2 is 2/1 or 2 and the reciprocal of 3 or 3/1 is 1/3
After we determine the slope of the perpendicular line, we are also know the point it must pass through.
Given that, we can find the equation.
Using y=mx+b
Plug in known varibles
y=-5
x=-4
m=2
b=?
-5=2(-4)+b
b=3
So now that we have b, we can put the equation in standard form.
y=2x+3
Hope this helps!!!
what is the doamin of the function f(x)=x+1/x²-6x+8
Answers
Answer:
Step-by-step explanation:
(x+1) = domain = all real #s
(x²-6x-8)⇒ (x-4)(x-2)= x≠ 2,4
Because you can not have a zero in the denominator, x≠2,4
so your domain is (-∞,2)∪(2,4)∪(4,∞)
What is the volume of the cylinder below?
Answers
Answer:
[tex]\sf 36\pi \ units^3[/tex]
explanation:
[tex]\sf \pi r^2 h[/tex]
[tex]\sf \pi (3)^2 (4)[/tex]
[tex]\sf 36\pi \ units^3[/tex]
note: the height should be perpendicular from the cylinder's radius.
Answer:
[tex]36\pi {unit}^{3} [/tex]
# Jerry Don is here #
Brainliest if correct
Answers
Answer:
The answer is 21/40
Step-by-step explanation:
Hope that helps!
Diego invested $6,100 in a 9-month certificate of deposit paying 1.8% interest. How much interest did he earn form this investment?
Answers
Answer:
0.018
Step-by-step explanation
6,100,9a-mo,0.018
Please help! Will mark brainliest <3. (Click on the photo too see the question!) you need to select all angle pairs that are vertical angles.
Answers
Answer:
B and D
Step-by-step explanation:
vertical angles are ones that are formed by intersecting lines, and they are also equal to each other and opposite of each other.
its not A because they are not equal to each other.
B is correct because they are formed by intersecting line and equal to each other
C is incorrect since theres some random line that doesnt completely pass through on either side
D is correct
Rhys's house had a temperature of 12°C. He put the heating on and the temperature rose by 8°C. As he was still co Rhys decided to light a fire which increased the temperature by a further 13°C. What was the temperature in the hou now?
Answers
Answer:
this is very easy.
Step-by-step explanation:
if he started at a temperature of 12, then added 8 and added 13 onto that? the sum of those numbers would be 33. so 33 degrees Celsius
6. On Marika's 8th birthday, in 2004, her father said, "My age is now four times your age."
In what year will Marika's father be able to say, "My age is now three times your age," on
Marika's birthday?
Answers
Answer:
2008
Step-by-step explanation:
when she is 12 (4 years after 2004) her dad will be 36, which is 3 x 12, therefore, in 2008 he will be able to say this.
Answer:
2008
Step-by-step explanation:
The difference in their ages is ...
4m -m = 3m = 3(8) = 24 . . . years (Marika was 8 in 2004)
__
Marika's age when the father was 3 times her age was ...
3m -m = 2m = 24 . . . years
m = 12 . . . . . Marika was 12 when her father was 3 times her age
That is 12 -8 = 4 years from 2004, so it will be true in 2008.
71-2x + 2
y2= -x+8
Albert created this table of solutions for the equations.
X
-2
0
4
N
S
yu
2 | 2
6
10
y2
10
8
6
4
Which point is a solution to the system of equations?
А.
(-2,-2)
B. (0,8
C.
(2,6
Cinem
D. (10,4)
in
Answers
Answer:
(2,6)
Step-by-step explanation:
y1 = y2
2x + 2 = - x + 8
2x + x = 8 - 2
3x = 6
x = 2
y1 = y2 = 6
Please Help! Will Give Brainlest!
Answers
Answer:
2
Step-by-step explanation:
amplitude = distance from undisturbed position/centre line to trough or peak
Answer:
2
Step-by-step explanation:
amplitutde measures the height of the waves.
write the equation of the blue line using slope intercept form (y=mx+b)
Answers
Answer:
Step-by-step explanation:
X1=-4
Y1=7
X2=-3
Y2=6
(-2,0 ) X INTERCEPT
(0,-7)Y INTERCEPT OR B
M=6-7/-3+4
M=_1
Y=-1X+-7
B^2-7b-8 (b=-4) evaluate the expression
Answers
Answer:
4
Step-by-step explanation:
Using digits, what time is represented by quarter to eleven?
Answers
Answer:
10:45
Step-by-step explanation:
Answer:
10:45 :)
Step-by-step explanation:
Draw an example of a line RS. Label point T between points R and R. Using point T , draw ray TV.
Answers
The line RS would extend in both direction, while the ray TV would extend in one direction
What are lines?A line is an undefined term of geometry; and it can only be defined through examples. However, the general notion is that a line extends in both directions without end
What are rays?Rays are extracts from a line; that have a fixed point and an endless point
Using the above definitions, we can draw the line RS such that the point T is located on line RS and the point T extends to point V to form a ray TV
See attachment for the diagram
Read more about lines and rays at:
https://brainly.com/question/14366932
Help pleaseeeeeeeeeeee
Answers
Answer:
C. 72
Step-by-step explanation:
your are given the adjacent length of 2.4 cm and the hypotenuse of 7.8cm
so we know cos = adjacent/ hypotenuse
so to find the angle of cos you use the inverse of cos^-1(2.4/7.8)
after typing into calculator you should get about 72
Answer:
C
Step-by-step explanation:
cos(0)= Adjacent/Hypotenuse
cos(0)= n/p
cos(0)=2.4/7.8
cos(0)=4/13
(0)=cos‐¹(4/13)
(0)=72.07978686
(0)=72°
angle (0)= 72°
Solve for x.
4=8x - 10y
Answers
Answer:
x= 1/2 + 5y/4Round to the ten millions place.
3,025,285,000
o a. 3,025,290,000
o b. 3,020,000,000
c. 3,025,000,000
d. 3,030,000,000
o e. 3,030,285,000
Answers
Kristen drank 7 cups of orange juice in the morning and 1/4 of a cup in the afternoon. How much orange juice did Kristen drink in all?
Answers
solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)
Answers
Answer: x=18/5 y=127/5
Step-by-step explanation:
For both equations
1. subtract from both sides
2. divide to find what the variable equals
The equation 2x² + 2y2 – 8x - 12y + 16 = 0 defines a circle.
which of these shows a correct step for determining the center and radius of this circle? choose all that are correct.
(2x2 – 8x + 16) + (2y2 – 12y + 36) = -16 + 36
(x - 4)2 + (y - 9)2 = 5
(x2 - 4x + 4) + (y2 – 6y + 9) = -8 +13
ox? + y2 - 4x - 6y = -16
(x - 2)2 + (y - 3)2 = 5
Answers
Answer:
C, E
Step-by-step explanation:
Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.
The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...
x² +y² -4x -6y +8 = 0
Subtracting 8 puts us in better position to complete the squares.
x² +y² -4x -6y = -8
Now, we can add the squares of half the coefficients of the linear terms.
(x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C
And we can simplify this to the standard form equation:
(x -2)² +(y -3)² = 5 . . . . . matches E
Fill in the table using this function rule
y=5+4x
This is the FORTH time I’ve posted this question PLEASE answer IT
20 POINTSSSSS
Answers
Answer:
-6,-1,4,9,14
Step-by-step explanation:
Just replace x in the equation with parenthsis and inside of them put the x value and solve as normal. From top down the answer is -6, -1, 4, 9, 14
1. give each solid a geometric name. be as precise as you can
а
b
с
Answers
The examples of geometric names include triangle, circle, square, rectangle, pentagon, etc.
What is a geometric name?Your information is incomplete as the shapes aren't given. Therefore, an overview will be given.
A geometric name is the name that is given to a shape. In this case, examples include triangle, circle, square, rectangle, pentagon, etc.
Triangle has three sides. A square has four equal sides. A rectangle has opposite sides equal, etc
Learn more about geometric on:
https://brainly.com/question/16982223
find the missing side of the parallelogram. keep answer in simplest form
Answers
Area of parallelogram is Base×height
10×18=15× x
x= 12
hope it helps
Answer:
x = 12
Step-by-step explanation:
So, area of a parallelogram is base times height.
In this picture, one of the base, height pair is 18 and 10.
18 * 10 = 180
The other base, height pair is 15 and x.
So, 15 and x should equal to 18 * 10.
Then, 15x = 180.
Divide both sides by 15, and you get 15x/15 = x and 180/15 = 12.
So, x = 12
Giving Brainliest
A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chasing the spy. The special agent travels the same route at a speed of 90 mph.
A What distance does the spy cover in t hours?
B What distance does the special agent cover in t hours?
C How fast is the distance between them reducing
D How far apart are the spy and special agent when the chase begins?
E How long does it take the special agent to catch the spy?
F At what speed should the special agent chase the spy if the evacuation spot is 240 miles from the setting point
Answers
The spy will cover a distance of 60t in t hours and the special agent will cover a distance of 90t in t hours.
What is distance?Distance is actually known as the amount of space between two points. When calculating speed, it is given as:
Speed = distance ÷ time
The spy's distance in t hours:
Distance = 60 × t = 60t.
The special agent's distance in t hours:
Distance = 90 × t = 90t
The distance between them will be =
Distance of special agent minus distance of the spy: 90t - 60t = 30t.
By the time the chase begins, the distance between the spy and special agent will be:
(2 × 60mph) - 0 = 120m - 0.
= 120m.
Time taken for the special agent to catch the spy: 120 + 60t = 90t
120 = 90t - 60t
120 = 30t
t = 120/30 = 4 hours.
Speed the special agent should chase the spy:
Distance = 240 miles
Time = 4 hours.
Then Speed = 240/4 = 60mph.
Learn more about speed on https://brainly.com/question/4931057
The ratio of the number of boys to the number of girls in choir is 6 to 7. There are 70 girls in choir. How many boys are in choir?
Answers
Answer:
48
Step-by-step explanation:
ASAPPPPPPPPPPPPP!!!!!!!!
Answers
Answer:
73
Step-by-step explanation:
supplementary anges are equal to 180 so e is 180-107
Answer: 73∘.
Step-by-step explanation: With supplementary angles, the two angles have to add up to 180∘. According to the question, the measure of <F is 107∘. What we need to do is make <E and <F add up to 180∘. To do this, we can subtract 107∘ from 180∘ to find <E:
180∘ - 107∘ = 73∘, which means that <F is 107∘ and <E is 73∘, which both make 180∘.
Therefore, <E is 73∘.
Have a great day! :)
y = 4
2x + y = 14
solve using substitution
Answers
How to write expressions as the sine, cosine, or tangent of a single angle
Answers
cosine(angle) = adjacent side / hypotenuse
tangent(angle) = opposite side / adjacent side
Look up trigonometry triangle side names if you need help on that.
I remember this by SOH CAH TOA
How can you best describe a stop sign using polygons? the sign has sides, so it is . it appears to be because the sides and angles appear to be congruent.
Answers
A polygon is a two-dimensional closed object. The polygon that best describes a stop sign is a regular octagon.
What is a polygon?A polygon is a two-dimensional closed object with n number of straight sides that is flat or planar and the value of n is always greater than 2 (n>2).
What is an octagon?An octagon is a polygon that has 8 number of sides.
As we know that a stop sign has 8 sides, therefore, the polygon that is in the shape of the stop sign is an octagon.
An octagon has 8 sides, and as it is mentioned in the problem that sides and angles appear to be congruent, therefore, the polygon must be a regular polygon.
Hence, the polygon that best describes a stop sign is a regular octagon.
Learn more about Polygon:
https://brainly.com/question/17756657
Answer:
8, an octagon, regular
Step-by-step explanation:
on e2020
Buddy ran the same distance each day for 5 days.
Write an expression to model this situation. If
you use a variable, explain what it represents.
b. Evaluate your expression if Buddy ran 10 miles
each day.
Answers
Answer:
A.
One expression you can do is the total amount of distance Buddy runs in a 5 day period, as a function of the amount of miles he runs in a day.
d(x) = y = 5x
d(x) being total amount of miles buddy runs in 5 days. x being the amount of miles he runs in a day.
B.
Now if he ran 10 miles a day, just substitute 10 for x.
d(10) = y = 5(10) = 50