The point D(2, -5) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, D′?
Answers
Answer:
D' = (5, 2)
Step-by-step explanation:
Try to join D and the origin using a line. Counterclockwise means in an opposite direction of rotation of the clock hands. So draw another line towards the right which is perpendicular to the previous line to fine the answer. Remember the length of the lines should be equal.
Related Questions
Find the value of x. The diagram is not to scale
Answers
Answer:B-70
Step-by-step explanation:
from the figure, In [tex]\triangle ABC\ \text{and}\ \triangle ADE[/tex]
[tex]\Rightarrow \dfrac{45}{45}=\dfrac{24}{24}\\\Rightarrow \dfrac{1}{1}=\dfrac{1}{1}[/tex]
[tex]\therefore \text{two triangles are similar}[/tex]
Thus we can write
[tex]\Rightarrow \dfrac{35}{x}=\dfrac{45}{45+45}\\\\\Rightarrow x=35\times \dfrac{90}{45}=35\times 2=70[/tex]
Solve for t.
4 (t + 1/4) = 3
Answers
Answer:
t=1/2
Step-by-step explanation:
llyssa spent 3/8 of her money on a bag. she gave 2/5 of the remaining amount to her sister. What fraction of her money was left with?
Answers
Answer:
3/8
Step-by-step explanation:
After spending 3/8 of her money on a bag, she has 5/8 of the original amount of money left. As she gave 2/5 of the remaining amount of money to her sister, she gave 1/4 of the original amount of money to her sister (5/8 × 2/5 = 1/4). Therefore, there's only 3/8 (1 - 3/8 - 1/4 = 3/8) of the original amount of money left in her bag.
The diameter of a circle is 1.4 centimeters. Find its area. Use 3.14 Round to the nearest
hundredth
Answers
Answer:
Area = 1.54
Step-by-step explanation:
Area = π[tex]r^{2}[/tex]
π = 3.14
diameter = 1.4
radius (half of diameter) = 0.7
Area = 3.14 x [tex]0.7^{2}[/tex]
Area = 3.14 x 0.49
Area = 1.5386
round to the nearest hundredth:
1.5386 = 1.54
Presley is deciding where to purchase cat food for his pet. He is considering PetCo and Chewy. PetCo currently has a sale on Fancy Feast cat food for $0.52 per can plus $41.99 for a bag of Blue Buffalo dry food. Chewy charges customers $0.64 per can of Fancy Feast and $36.98 for a bag of Blue Buffalo dry food. Write a system of linear equations where t represents the total cost of cat food and c represents the number of cans of cat food.
Answers
PetCo:
t = 0.52c + 41.99
Chewy:
t = 0.64c + 36.98
How many 6 digit combinations are there using only numbers 1-9?
Answers
Answer:
With no digits repeated that would be 60,480
Step-by-step explanation:
9×8×7×6×5×4 = 60,480
Over which interval does f(t) have positive average rate of change
Answers
Answer:
i dont know im just doing this for the points
Answer: {2,4}
Step-by-step explanation: Khan Academy
Functions:
In image 1: Evaluate the functions
In image 2: Given the functions, find their inverse, if possible and if not possible, redefine Domain or Range
Answers
Answer:
Image 11. x = 4
f(4) = (- 3*4 + 1) / 6 = -11/62. x = -2/3
f(-2/3) = -3*(-2/3) + 10 = 2 + 10 = 123. x = -5
f(-5) = [tex]\sqrt{-(-5)/20}[/tex] = [tex]\sqrt{5/20}[/tex] = [tex]\sqrt{1/4}[/tex] = 1/2Image 2To work out the inverse, substitute f(x) with x and x with y, then solve for y. The new function is the inverse of the given.1. f(x) = 5x + 3
x = 5y + 3 ⇒ 5y = x - 3 ⇒ y = (x - 3)/5f⁻¹(x) = (x - 3)/52. f(x) = 4/5x
x = 4/5y ⇒ y = 5/4xf⁻¹(x) = 5/4x3. f(x) = (2x + 7)/4
x = (2y + 7)/4 ⇒ 2y + 7 = 4x ⇒ 2y = 4x - 7 ⇒ y = 2x - 3.5f⁻¹(x) = 2x - 3.54. f(x) = (2x + 7) /(x + 3) = 2 + 1/(x + 3)
x = 2 + 1/(y + 3) ⇒ x - 2 = 1/(y + 3) ⇒ y + 3 = 1/(x - 2) ⇒ y = (1 - 3x + 6)/(x - 2) ⇒ y = (7 - 3x)/(x - 2)f⁻¹(x) = (7 - 3x)/(x - 2)5. f(x) = [tex]\sqrt{x - 4}[/tex]
x = [tex]\sqrt{y - 4}[/tex] ⇒ x² = y - 4 ⇒ y = x² + 4f⁻¹(x) = x² + 4o 12h + h +17-5
Help and please
Answers
Are congruent triangles also similar?
Answers
Answer: yes they are
Step-by-step explanation:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal.
Answer:
Yes
Step-by-step explanation:
While congruent triangles are similar, similar triangles may not be congruent.
A triangle has sides with lengths of 10 centimeters, 23 centimeters, and 26 centimeters. Is it
a right triangle?
Answers
Answer:
No, it is not a right triangle. It is an obtuse triangle.
Step-by-step explanation:
How to know a right traingle
A right triangle is a triangle in which one of the angles is a 90∘ angle. The "square" at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
I need help with this pls its a grade
Answers
Answer:
1.63
2.300
3.96
4.180
5.186.2
6.194.4
Step-by-step explanation:
Carson is g years old Haley is 2 yrs younger then Carson. find the sum of their ages in terms of g
Answers
Answer:
2g-2
.....................
Answer
2g -2
Step-by-step explanation:
Carson is =gHarley = 2-gPlz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change?
Answers
Answer:
2.35
Step-by-step explanation:
2x50=100
3x25=75
4x10=40
4x5=20
100+75+40+20=2.35
Factor completely
486+108x+6x^2
Thank you!
Answers
Answer:
6(x + 9) (x + 9)
or
[tex]6 (x+9)^{2}[/tex]
Step-by-step explanation:
[tex]468 + 108x + 6x^{2} \\6x^{2} +108x + 468[/tex]
Greatest common factor of 6, 108, and 486:
6 x 1 = 6
6 x 18 = 108
6 x 81 = 486
GCF: 6
so:
[tex]6(x^{2} +18x +81)[/tex]
[tex]x^{2} +18x + 81[/tex]
factors to:
(x + 9) (x + 9)
because:
9 x 9 = 81
9 + 9 = 18
So:
It factors completely too:
6(x + 9) (x + 9)
or
[tex]6 (x+9)^{2}[/tex]
Number of points scored in each basketball game: 28,16,38,44,21,38,35,48,33,29,37,39,18,38,42,37,32
Answers
Answer:
unm okay? is there anything more to the question?
Here are two patterns made using identical rhombuses. Without using a protractor, determine the value of a and b. (Remember that all the way around a circle is 360°. Start by finding the measure of angle a in the figure on the left.)
Answers
Answer:
hope it helps
Step-by-step explanation:
have a great day
8th grade math, explain if you can please.
Answers
Answer:
I'm pretty sure that the answer is 1.76?
Step-by-step explanation:
The formula is this tho:
V=πr^2h
what is the negation of "x>3"?
a)=3
b.)_<3
c.)<3
Answers
Given:
The inequality is:
[tex]x>3[/tex]
To find:
The negation of the given inequality.
Solution:
The given inequality is [tex]x>3[/tex], it means all the value which are greater than 3 are included in the solution set.
Since all the values which are less than or equal 3 are not included in the solution set, therefore the negation of the given inequality is
[tex]x\leq 3[/tex]
Therefore, the negation of [tex]x>3[/tex] is [tex]x\leq 3[/tex].
Note: Option are not in proper format.
the area of the square is 25 inches what is the measure on one side of the square??
Answers
Answer:
5
Step-by-step explanation:
area of a square= side x side
[tex]\sqrt{25}[/tex] = 5
I need help with this geometry question guyss!!
Answers
Answer:
Step-by-step explanation:
If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other.
I need help please.
Answers
Answer:
Step-by-step explanation: Just do 0.25+0.25 then the answer x 0.18 and then divide the answer by 2 and it should equal 0.045
w^2 + 2 + 48 divided by 2z. If w = 5 and z = 8 *
Answers
Replace w and z with the given values:
5^2 + 2 + 48 / 2(8)
Simplify:
75/16 = 4 and 11/16
Which of the following is true about the expression 7 + V3?
Answers
Answer:
is this a multiple-choice question?
Step-by-step explanation:
**i'll go back and change my answer, i promise**
Show your work: 1/2x = 10
Answers
think of it as 1/2 • x = 10
then multiple both sides by 2
1 • x = 20
so x=20
15 less than 3 times a number is 5 more than half of the number.
Answers
Answer:
Mystery Number is 8
Step-by-step explanation:
3x - 15 = 5 + 1/2x
3x - 1/2x = 15 + 5
5/2x = 20
x = 20 / 5/2
x = 20 * 2/5
x = 40 / 5
x = 8
Peter is the owner of a hardware supply shop. He has hired you to check his machines calibration prior to starting production on a large order. To check this, you set the machine to create 2.0 inch nails and manufacture a random sample of 200 nails. That sample of nails has an average length of 2.024 inches with a standard deviation of 0.205 inches.
Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs?
Answers
Answer:If we compare the p value and the significance level assumed we see thatso we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can conclude that the true mean is not different from the specification at 1% of signficance.
Step-by-step explanation:
The machine is working properly based on the convincing evidence provided by the sample.
How to calculate the test statistics.For the null hypothesis, we would test that:
H0 : p = 2
For the alternate hypothesis, we would test that:
Ha > p = 2
In Mathematics, the test statistics of a given sample is calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }[/tex]
Where:
x is the sample mean.u is the mean.is the standard deviation.n is the sample size.Substituting the given parameters into the formula, we have;
[tex]Z=\frac{2.024\;-\;2}{\frac{0.205}{\sqrt{200} } }\\\\Z=\frac{0.024}{\frac{0.205}{14.14} }\\\\Z=\frac{0.024}{0.0145 }[/tex]
Z = 1.66.
For the p-value:
P(Z > Zo) = P(Z > 1.66)
P(Z > 1.66) = P(Z < -1.66)
P(Z < -1.66) = 0.0485.
From the z-table, a z-score of 1.66 corresponds has a p-value of 0.0485. Therefore, the p-value for this test is 0.0485 < 2 while assuming a confidence level of 95%.
In conclusion, we fail to reject the null hypothesis because 0.0485 < 2.
Read more on null hypothesis here: https://brainly.com/question/14913351
The table shows the fraction of the box of eggs that she will use to make different breakfast items. The family will choose from these items in the table
Food Choices Fraction of Eggs used
Egg Salad
2.
Pancakes
Omelets
Scrambled Eggs
8
2.
3
7
12
1
4
Waffles
Which food combinations could Mrs. Solis make without needing a second box of eggs? Choose the THREE correct answers.
A
Pancakes and Waffles
B
Pancakes and Egg Salad
С
Omelets and Egg Salad
D
Waffles and Egg Salad
F
Scrambled Eggs and Omelets
Answers
Answer:
C
Step-by-step explanation:
A bookstore tracked the data of the weight of their deliveries and the number of books in each box. They created a
scatterplot and trend line based on the data.
Weight (lbs)
4
2
1
6
8 9 10
Number of Books
Which statement would be a reasonable prediction based on the scatterplot and trend line?
A box with 10 books should weigh about 2 pounds.
A box with 10 books should weigh about 4 pounds.
A box with 10 books should weigh about 6 pounds.
A box with 10 books should weigh about 12 pounds.
Answers
Answer: I am taking the test rn and I think its (C) Since the trend line is a positive correlation and slope, so then a good estimate would be 6
Step-by-step explanation: I may be wrong, but this is the best choice in my opinion
EDIT AFTER TEST: Yep C is correct! i got a 100 on the test
Answer:
The answer is C. I hope this helps you out. Have a wonderful safe day. <3<3<3
Step-by-step explanation:
What’s the value of F ?
F= ??
Answers
Answer: 30 i took a test with that question
Step-by-step explanation: