To find the distance between any points:
⇒ we must know the distance formula
⇒ Distance Formula: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } }[/tex]
[tex](x_{1} ,y_{1} )[/tex] --> (-1,8)[tex](x_{2} ,y_{2} )[/tex] --> (4,8)Let's Solve:
Distance Formula = [tex]\sqrt{(4--1)^2+(8-8)^2} =\sqrt{5^2} =\sqrt{25}[/tex] = 5
Thus the distance between the points is 5
Hope that helps!
What is the value of x^2+y^2 given the following system?
x+y=10
x-y=8
Answer:
I hope this helps, you can ask any questions for clarification
The sum of the squares of the odd integers between 0 and 100.
Using summation notation
Answer:
166,649.
Step-by-step explanation:
49
∑ (2n + 1)^2 = 4∑n^2 + 4∑n + 49
0
= (4/6)n(n +1)(2n + 1) + 4/2 n(n + 1) + 49
= 2/3 * 49* 50 *99 + 2*49*50 + 49
= 161700 + 4900 + 49
= 166649
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
24
Step-by-step explanation:
Pythagorean Theorum: [tex]a^2+b^2=c^2[/tex]
Solving:
[tex]a^2+7^2=25^2[/tex]
[tex]a^2+49=625[/tex]
[tex]a^2=579[/tex]
[tex]\sqrt{a^2} = \sqrt{579}[/tex]
[tex]a=24[/tex]
Checking:
[tex]24^2+7^2=25^2[/tex]
Answer:
24
Step-by-step explanation:
Use the Pythagorean Theorem:
A^2 + B^2 = C^2
See the attached image.
so
x+y=24
x=2y
I need step by step ple
Answer:
y = 8x = 16Explanation:
x + y = 24x = 2(y)solve, insert equation 2 into 1
2(y) + y = 243(y) = 24y = 8Find x:
x = 2(y)
x = 2(8)
x = 16
Answer:
y = 8
x = 16
Step-by-step explanation:
Given equations:
x + y = 24x = 2yReorganize the equations:
[tex]\left \{ {{x + y = 24} \atop {x = 2y}} \right.[/tex]
[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]
Subtract:
[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]
[tex]{ {{[x - x] + [y - (-2y)]= 24 - 0}[/tex]
[tex]{ {{x - x + y + 2y= 24}[/tex]
[tex]3y= 24}[/tex]
Divide 3 both sides:
[tex]\dfrac{3y}{3} = \dfrac{24}{3} }[/tex]
[tex]y = 8[/tex]
Substitute y in any equation:
[tex]x = 2(y)[/tex]
[tex]x = 2(8) = 16[/tex]
1000 to the fourth power(?
Answer:
Step-by-step explanation:
Answer: Raise 1000 to the power of 4
1000000000000
-. Find the missing part that will make the equation a perfect square
U2 + 34u +
Answer:
289
Step-by-step explanation:
using the method of completing the square
add ( half the coefficient of the u- term )² to u² + 34u
u² + 2(17)u + 17²
= u² + 34u + 289
= (u + 17)² ← a perfect square
Draw the graph of the equation x+5y=6
Answer:
Step-by-step explanation:
A gift box in the shape of a
rectangular prism has a base area
of 56 square inches and a height of
4 inches. What is the volume of the
box in cubic inches?
F) 224
G) 448
H) 896
J) 12,544
Find the area of the shaded region. Round to the nearest hundredth where necessary (2 decimal places
A=(
6 in
1
14 in
26 in
15 in
Answer:
117 in²
Finding the area of the trapezoid:
First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".
[Where, a₁ = shorter parallel side; a₂ = longer parallel side]
⇒ (a₁ + a₂)h/2 = Area of trapezoid
⇒ (14 + 26)15/2 = Area of trapezoid
⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²
Reviewing on how to find the area of the unshaded region:
To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.
Determining the height:
We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.
⇒ Height of trapezoid - Small side length = Height of triangle
⇒ 15 - 6 = Height of triangle
⇒ 9 in = Height of triangle
Determining the area of the unshaded region:
Now, let's substitute the base and the height in the formula to find the area of the triangle
⇒ 1/2 x Base x Height
⇒ 1/2 x 26 x 9
⇒ 13 x 9
⇒ 117 in²
Determining the area of the shaded region:
Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.
⇒ Area of trapezoid - Area of unshaded region = Area of shaded region
⇒ 300 - 117 = Area of shaded region
⇒ 183 in² = Area of shaded region
Evaluate the limit. (-2)^nn/4+n
Answer:
n
(
−
2
)
n
4
+
n
Step-by-step explanation:
story with these 5 letters comprehend, collect, compare, community, college asap
In the word document :)
Help!
1. In ceramics class, Robert made a cone with a radius of 2.5 inches and a height of 9 inches. What was the volume of the cone?
Use ≈3.14 and round your answer to the nearest whole number.
2. Later, Robert made a cylinder with the same radius and height as the cone. What is the volume of the cylinder?
Use ≈3.14 and round your answer to the nearest whole number.
3. Complete the sentence below that describes the relationship between the volumes of the cone and cylinder. Use a whole number.
The cone and cylinder have the same height and radius, so the volume of the cylinder is
____ times the volume of the cone.
The volume of the cone is 58.875 cubic inches. The volume of the cylinder is 176.625 cubic inches. The volume of the cylinder is three (3) times the volume of the cone.
What is the volume of a cone and cylinder?
The volume of a cone is equal to one-third (1/3) of the area of the circular base as well as the height product.
Mathematically, the volume of a cone can be expressed as:
[tex]\mathbf{V_{cone} = \pi r ^2 \dfrac{h}{3} }[/tex]
where;
radius = 2.5 inchesheight = 9 inches[tex]\mathbf{V_{cone} = 3.14 \times (2.5 ^2)\times \dfrac{9}{3} }[/tex]
[tex]\mathbf{V_{cone} = 3.14 (2.5 ^2)\times 3 }[/tex]
[tex]\mathbf{V_{cone} =58.875\ inches ^3}[/tex]
The volume of a cylinder implies the amount of quantity of material being carried in the cylinder. The volume of the cylinder can be expressed as:
V = πr²h
V = π(2.5)² × 9
V = 3.14 × (2.5)² × 9
V = 176.625 inches³
The volume of the cylinder is three times the volume of the cone because:
[tex]\mathbf{=\dfrac{176.625 \ in^3}{ 58.875\ in^3}}[/tex]
= 3
Learn more about the volume of cone and cylinder here:
https://brainly.com/question/1310192
credit card cash advance
borrow: $300
rate: 18% per year
time: 6 months-,5
300
6
Answer:
Assuming the question is how much interest you will pay in the given time frame with the given terms.
Step-by-step explanation:
Borrowed $300
18% per yr = 18/12 = 1.5% per month
You borrowed for 6 months so you will end up paying 1.5%*6 =9% in interest
$300*(9% or 0.09) = $27 in interest paid + $300 in principal paid if paid off in 6 months.
Total $327.
If this was an economics class you would also have to factor in the depreciation of the principal amount month to month with minimum payments but I am guessing this is just a basic question so the above answer is correct enough.
Does someone know how to do this? I only have a few hours before I have to turn this in
Answer:
Check out the attached photo it might help
At how many hours will blake earn the same amount in both jobs?
Answer: 6.15 you already solved it congrats
Step-by-step explanation:
you already equal both amount equations to each other therefore you are solving for the hours he gets equal pay
can somebody please tell me the awnser
Answer: 50ft I think
Step-by-step explanation: add them all . The length of a line is missing so make 16 minus 6 will give you 10 and add the rest . Please mark brainliest . 4 and 10 and 5 and 6 and 9 and 16 Will give 50 ft only
Ah, yes. Perimeters. Perimeters are found by adding up the lengths of all the sides. But, as stated in the question description, there's one side missing. The way we find it is by subtracting the 6-foot side from the 16-foot side. The way this works is because 1) every corner is a right angle 2) and if that's so, the side with no number and the 6-foot side will add up to equal 16 feet, the same as the side opposite it.
If we subtract 6 from 16, we get 10. So, therefore, the missing side's length is 10 feet.
Now let's add all the sides together.
9 + 6 + 5 + 10 + 4 + 16 = 50
The perimeter of this shape is 50, if my geometry memory serves me correctly.
I hope this answers your question.
-Toremi
A person invests 7000 dollars in a bank. The bank pays 7% interest compounded
quarterly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 12400 dollars?
Can someone help me please, its for plato algebra 2-1
Answer:
5
Step-by-step explanation:
Simplification:
[tex]\sqrt{2^3-7} + |-4|[/tex]
[tex]\sqrt{1} + 4[/tex]
1 + 4
5
The kite below is formed by four right triangles. If AB= 3, DE= 12, and AB = BC = DB, what is the area of the kite?
Answer:
50.46???
Step-by-step explanation: im bad at this so if it help ima be proud nut uhhh i tryed ...
)) What is the area of this figure?
5 mm
7 mm
6 mm
9 mm
7 mm
16 mm
3 mm
10 mm
)) Write your answer using decimals, if necessary.
1))
square millimeters
Please help it’s due soon
Answer:
D) 30
Step-by-step explanation:
AB is the diameter of the circle
AB = AE + EB
= 25 + 9
= 34
OB, OC and OD are all the radius of the circle.
Radius = half the diameter
Therefore, OB = OC = OD = 34 ÷ 2 = 17
ΔCOD is an isosceles triangle with congruent sides OC and OD, and height OE
OE = OB - 9
= 17 - 9
= 8
Base of isosceles triangle = [tex]2\sqrt{a^2-h^2}[/tex]
(where a is one of the congruent side lengths and h is the height)
[tex]\implies CD=2\sqrt{OD^2-OE^2}[/tex]
[tex]\implies CD=2\sqrt{17^2-8^2}[/tex]
[tex]\implies CD=30[/tex]
x^2-8x+16=3 solve using square roots
Answer:
x = 4 ± [tex]\sqrt{3}[/tex]
Step-by-step explanation:
x² - 8x + 16 = 3 ← the left side is a perfect square
(x - 4)² = 3 ( take square root of both sides )
x - 4 = ± [tex]\sqrt{3}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{3}[/tex]
NEED HELP ASAP! WILL GIVE BRAINLIEST!!
1. Two friends are reading books. Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression represents the number of words Bob reads?
1. 21,356 x 2
2. 21,356 x one fourth
3. 21,356 x one half
4. 21,356 x one and one half
________________________________________
———————————————————————————
..................................................................................................
2. Which equations have a value less than 6,766?
A. one fourth x 6,766 = ________
B. 6 x 6,766 = ________
C. one half x 6,766 = ________
D. 1 x 6,766 = ________
1. A and C
2. D and B
3. A and B
4. C and D
Answer:
Answer for 1
3. 21,356 x one half
Answer for 2
1. A and C
Step-by-step explanation:
I'LL GIVE BRAINLIEST AND 100 POINTS| Which answer choice correctly completes the sentence? When solving a story problem, the first step is to
A. guess the correct answer and then check to see if you are correct.
B. write the facts, organize your thoughts and then define your strategy.
C. identify what you need to do to solve the problem.
D. read the problem carefully and find the question.
Answer:
D read the problem carefully and find the question. :)
Have an amazing day!!
Please rate and mark brainliest!!
option C and D (C is actually)
So steps are
First read the story problem completelyThen find out what do you need to solve and what else you have givenThen solve that outUse the calculator to find the product of 4.17 and 2.3 × 106. Which statements are true about finding the product? Check all that apply.
4.17 is equivalent to 4.17 × 100.
4.17 is equivalent to 4.17 × 101.
The product has a positive exponent.
The coefficient is 6.
The E in the product is the indicator that the solution is in scientific notation.
The exponent of the product is the product of the original exponents.
PLSSS HELP
Answer:
I'm assuming that "106" is really 10^6Step-by-step explanation:
4.17 is equivalent to 4.17 × 100. NO 4.17 x 100 = 417
[If this is really 4.17 is equivalent to 4.17 × 10^0. Then YES. 10^0 = 1]
4.17 is equivalent to 4.17 × 101. NO 4.17 x 101 = 421.17
Again, if this is 10^1, then no. 10^1 = 10
The product has a positive exponent. YES
The coefficient is 6.
Coefficient? NO. Exponent? Then YES
The E in the product is the indicator that the solution is in scientific notation. YES 4.17E6 is 4.17 x 10^6
The exponent of the product is the product of the original exponents.
NO. In multiplication, the exponents are added (as long as they have the same base)
EDGE 2022
I need help with this
Conclusion
And discussion
It’s a science assignments
Answer:
Step-by-step explanation:
more hcl = less time.
error in table drawing or values not precise. more explanation needed in pic.
yes. more hcl = less time.
I NEED HELP ANSWERING THIS QUESTION PLEASE HELP!!
2Answer:
a. 68%
b. 95%
c. 2.35%
Step-by-step explanation:
empirical rule is the
68–95–99.7 rule
a. 68%
b. 95%
c. 99.7 - 95 = 4.7 then 4.7/2 =
2.35%
Please help me with this please and thank you
Step-by-step explanation:
y = ax^n + bx^(n-1) ... + z
(0, 1) tells us that the constant term z = 1.
because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.
for the other pairs I strongly suspect
(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3
(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9
so, the fitting equation is
y = 2x² + 1
I Need help asap!!!!!!!!!!!!!!!!!!
Answer:
The answer of how many cars is 23
Use what you know about triangles to classify this triangle.
Triangle with two acute angles and one ninety degree angle. Two sides are the same length.
Answer:
I believe this is an isosceles triangle! Hope this helps ^^
