Answer:
ABCD is not a parallelogram
Step-by-step explanation:
Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)
We have to find the length of the sides of the parallelogram using the formula below
= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)
For side AB
A(-3,2) B(-3,3)
= √(-3 -(-3))² + (3 -2)²
= √0² + 1²
= √1
= 1 unit
For side BC
B(-3,3) C (5,-3)
= √(5 -(-3))² + (-3 -3)²
= √8² + -6²
= √64 + 36
= √100
= 10 units
For side CD
C (5,-3) D (-1.-5)
= √(-1 - 5)² + (-5 - (-3))²
= √-6² + -2²
= √36 + 4
= √40 units
For sides AD
A(-3,2) D (-1.-5)
= √(-1 - (-3))² + (-5 -2)²
= √(2² + -7²)
= √(4 + 49)
= √53 units
A parallelogram is a quadrilateral with it's opposite sides equal
From the above calculation
Side AB ≠ CD
BC ≠ AD
Therefore, ABCD is not a parallelogram
A circle has a diameter of 42 inches. What is the circumference of the circle? Use 227 for π.
Answer:
132 in = C
Step-by-step explanation:
Please, write 22/7 to approximate π.
The circumference formula is C = 2πr or dπ, and here C = (42 in)π
Then an approximation to the circumference of this circle is
42(22/7) = 6(22 in) = 132 in = C
Aranibar had 35 in his safety box in January. By thanksgiving, he has $2500. What was his savings rate?
Answer:
71.43%
Step-by-step explanation:
2500/35 = 71.43
Aranibar's savings went up by 71.43%
Suppose you deposit $1,500 in a savings account that pays interest at an annual rate of 5%. If no money is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 4 years?
b. How much will be in the account after 16 years?
c. How many years will it take for the account to contain $2,000?
d. How many years will it take for the account to contain $2,500?
Answer:
The solution is given below.
Step-by-step explanation:
Given that
Deposited amount = $1,500
Rate of interest = 5%
We need to find out the following things
a. The account after 4 years i.e. future value
As we know that
Future value = Present value × (1 + rate)^time period
Future value = $1,500 × (1 + 0.05)^4
Future value = $1,500 × (1.05)^4
Future value = $1,823.26
b. The account after 16 years i.e. future value
As we know that
Future value = Present value × (1 + rate)^time period
Future value = $1,500 × (1 + 0.05)^16
Future value = $1,500 × (1.05)^16
Future value = $3,274.312
c. The number of years that contain the amount of $2,000
Here
PV = $1,500
FV = $2,000
PMT = $0
RATE = 5%
The following formula should be applied
= NPER(RATE;PMT;-PV;FV;TYPE)
After applying the above formula, the time period is 4.94 years
d. The number of years that contain the amount of $2,500
Here
PV = $1,500
FV = $2,000
PMT = $0
RATE = 5%
The following formula should be applied
= NPER(RATE;PMT;-PV;FV;TYPE)
After applying the above formula, the time period is 8.77 years
Based on John’s profile, what information should he expect to find on his credit report? Check all that apply.
inquiries from his lenders, the apartment complex, and Happy Hamburgers
a note about delinquency from National Bank
a current account for his student loan
a current account with National Bank
a current account with Happy Hamburgers
Answer: A,C,D
Step-by-step explanation:
I did the test
2x – y = 7
y = 2x + 3
Answer:
2x – y = 7 answer for this one is x-1/2y+7/2 (the '/' is a fraction)
y = 2x + 3 is x=1/2y+-3/2
Step-by-step explanation:
Quadrants on the coordinate plane Select the quadrant or axis where each ordered pair is located on a coordinate plane. Quadrant Quadrant II Quadrant III Quadrant IV I-axis y-axis (-9.-8) (1.0) (7.5.2 Stuck? Watch a video or use a hint. Report a problem
Answer:
lll
Step-by-step explanation:
Which of the following inequalitties is correct
-a > -b
-a > a
a > c
(Look at picture)
Answer:
You were right the correct option is
- a > - b
HELP ME PLZ!!!!!!!!!!!!!!!!!!
Answer:
A) 2 adults ....
B) 2% of adults.....
C) 3 % of adults...
Step-by-step explanation:
All the adults are 100 do any numbers past or under is like deciding by 100
Hope I helped
Please answer correctly! I will mark you brainliest! Pictures go together!
Answer:
288pi
Step-by-step explanation:
The equation for volume of a sphere is 4/3 * pi * r^3
4/3 * pi * 216
288pi
What's the solution ?
5^3x=25^(x+2)
there is no solution
Kathy gets to school at 8.20 a.M every day.It takes her 12 minutes to get from her house.Kathy wants to get to school 15 minutes earlier what time should kathy leave her house?
Answer:
7:53
Step-by-step explanation:
subtract 15 minutes from the time she arrives.
you get 8: 05 a.m. the distance from home to school is 12 minutes to reach at 8:0 5 subtract 12 minutes to know what time she'll leave...
if you remove 12 minutes from 8 or 5 a.m. get 7:53 a.m.
Sheldon is a long distance runner. He can run a mile at a consistent pace of 6 4/5 minutes. How many miles can he run in 30 minutes, if he keeps that pace? miles. please put as fraction
Answer:
n
Step-by-step expmlanation:
Answer:
10-15 miles I believe
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answer:
33/4=8.25 or 8 1/4
Step-by-step explanation:
4. Car types 318 words in 3 minutes. At this rate, how many words does Carl type in 5 minutes?
5. A standard-size volleyball court has an area of 1,800 square feet. The base of the court is 60 feet. What is the height of the court?
Answer:
30 feet
Step-by-step explanation:
The area is found by multiplying the base and the height. So to find the answer, you divide 1,800 by 60 to get 30.
For the experiment of drawing a single card
from a standard 52-card deck. Find (a)
the probability and (b) the odds in favor
of each of the following:
1. An Ace
2. A red Jack
3. An Ace or a Club
4. Not a heart, or a 7
Answer:
what do you mean? can you please explain this better so i can help you? :)
Step-by-step explanation:
help now pls thank u
Answer:
120 inches of strands
Step-by-step explanation:
finding the diagonal
=[tex]\sqrt{(100+576)}[/tex]
= 26 inches
perimeter of the window = 2(10+24)
= 68 inches
total strands needed to be purchased = [(2×26)+68] inches
= 120 inches of strands
The diameter of a circle is 13 m. Find its area to the nearest tenth.
Answer:
A ≈ 132.73
Step-by-step explanation:
If you have any questions feel free to ask in the comments
Write the quadratic function in vertex form: f(x) = 8x2 + 2x - 5
Answer:
[tex]\left(-\frac{1}{8},\:-\frac{41}{8}\right)[/tex]
Step-by-step explanation:
If you have any questions feel free to ask in the comments.
AABC is dilated by a factor of to produce AA'B'C! 3 What is A'B' , the length of AB after the dilation? What is the measure of 24? A. AB = 68, MZA= 28" B. AB'= 15, mZA= 62 C. ABP = 17, m.ZA'= 14° D. A'B'= 17, mAA'= 28.
ILL MARK BRANLIEST
Answer:
a it is a because u can see it
Four sisters bought a present for their mother they received a 10% discount on the original price of the gift. After the dicount was taken, each sister paid $9.00. What was the orginal price of the gift?
Answer:
$40.00
Step-by-step explanation:
the total price of the gift (after discount) is 9.00 * 4 = 36
the original price of gift can be found using this equation:
x - (x*0.10) = 36
x - 0.10x = 36
0.9x = 36
x=40
No fake answers or reported.
This is your chance to demonstrate your basketball skills! You have been chosen to participate in a paper-ball throwing contest. Directions: 1. Use the scrap paper to make 10 paper balls per group. (Wad the paper balls up tightly so they are easier to aim.) 2. Place a trash can (or other large container) 5 feet away. 3. Predict how many paper balls you will be able to get into the basket. Type your prediction. 4. Type your results as a fraction. 5. Type your results as a decimal.
Answer:
I Predict I can make all 10/10 paper balls into the trash can.
Step-by-step explanation:
Sadly, I was wrong, I only got 8 paper balls into the trash can...Its not my fault though, my cat kept attacking my midair balls, anyway I got 8/10 which means I got 80 percent which means I got...move decimal one left...I got (in decimal) .8 (I'm ticked that I missed any cat or no cat, My fav sport is basketball and usually in really good with my shots)
1/9 equals what squared?
Answer:
1/3 I think??????
if one zero of the following polynomial 8x^2-13x-4k is the reciprocal of the other, then find k
Answer:
Step-by-step explanation:
hello :
if x1 and x2 this zero for ax²+bx+c you have : x1 = 1 /x2 means :x1 × x2 =1
but : x1 × x2 = c /a
in this exercice : a =8 and b = -13 and c = - 4k
so : c/a =-4k/8
so : -4k/8 = 1
-4k = 8 k = 8/-4 k = -2
this polynomial is : 8x²-13x +8
Form a third-degree polynomial function with real coefficients, with leading coefficient 1, such that - 2 + i and 7 are zeros.
In standard form, this third-order polynomial - call it p(x) - has real coefficients a, b, c, d so that it is written as
p(x) = a x ³ + b x ² + c x + d
We're told the leading coefficient is a = 1, so
p(x) = x ³ + b x ² + c x + d
Since the coefficients are all real, any complex roots with non-zero imaginary part occurs alongside its complex conjugate, so the fact that -2 + i is a root means that its conjugate, -2 - i is also a root.
Then by the factor theorem, we can write p(x) as the product of linear terms involving its roots:
p(x) = (x - (-2 + i )) (x - (-2 - i )) (x - 7)
Now just expand this to get
p(x) = x ³ - 3 x ² - 23 x - 35
convert 10 hours into minutes
Answer:
600 minutes
Step-by-step explanation:
60 minutes in an hour
60 × 10 is 600
Find the lateral surface area of a triangular prism with height of 6 inches and right triangles bases with legs 9 inches and 12 inches
Given:
Height of a triangular prism = 6 inches
Legs of right triangular base are 9 inches and 12 inches.
To find:
The lateral surface area of a triangular prism.
Solution:
According to the Pythagoras theorem:
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Using Pythagoras theorem, we get
[tex]Hypotenuse^2=(9)^2+(12)^2[/tex]
[tex]Hypotenuse^2=81+144[/tex]
[tex]Hypotenuse^2=225[/tex]
Taking square root on both sides, we get
[tex]Hypotenuse=\sqrt{225}[/tex]
[tex]Hypotenuse=15[/tex]
Now, the lateral surface area of a triangular prism.
[tex]A=Ph[/tex]
Where, P is the perimeter of the base and h is the height of the prism.
[tex]A=(9+12+15)\times 6[/tex]
[tex]A=(36)\times 6[/tex]
[tex]A=216[/tex]
Therefore, the lateral surface area of a triangular prism is 216 square inches.
answer the following
Answer:
hi
Step-by-step explanation:
whatup its bruce i am still deeply in love with you
SOMEONE TELL ME WHAT IS 2,000 MINUS 1/4
Answer:
1999.75
Step-by-step explanation:
2000 - 0.25
1999.75
If p and q vary directly and p is 30 when q is 6, determine q when p is equal to 9.
Answer:
here is the link the.hh/g49
Step-by-step explanation:
Answer:
q = 45
Step-by-step explanation:
Since q is 30 when p is 6, we divide to find the rate.
30/6=5.
If the rate is 5 we multiply the new p, 9 by five as well.
9*5=45
45 is q ok