Answer: [tex]2\sqrt{34}[/tex] or, as a decimal, 11.7.
Step-by-Step Explanation:
1. Use the distance formula and substitute the values of the two ordered pairs.
[tex]\sqrt{(2-(-4))^{2}+(2-(-8))^{2}}[/tex]...
2. Multiply -1 by -4.
[tex]\sqrt{(2+4)^2+(2-(-8))^2\\}[/tex] ...
3. Add 2 and 4.
4. Raise 6 to the power of 2.
[tex]\sqrt{36+(2-(-8))^2}[/tex]...
5. Multiply -1 by -8.
6. Add 2 and 8.
7. Raise 10 to the power of 2.
[tex]\sqrt{36+100}[/tex] ...
8. Add 100 and 36.
9. Rewrite 136 as 2² · 34.
10. After factoring 4 out of 136 and rewriting as ... [tex]\sqrt{2^{2}(34)}[/tex], pull out terms from under the radical. It should look like this now: [tex]2\sqrt{34}[/tex]. That is your final answer!!
Hope that helps! Note: the unrounded decimal is 11.66190378.
(P.S. Can I have Brainliest please? Once someone else answers, of course...)
Find the first term of a sequence x+1,2x-18,2x-1,if this sequence is an arithmetic progression
Answer:
a₁ = 37
Step-by-step explanation:
In an arithmetic progression the common difference d is
d = a₂ - a₁ = a₃ - a₂ , that is
2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides
2x - 18 - x - 1 = 2x - 1 - 2x + 18
x - 19 = 17 ( add 19 to both sides )
x = 36
Thus
a₁ = x + 1 = 36 + 1 = 37
A singles tennis court measures (8x - 2) ft long and (3x – 3) ft wide.
Answer:
24x²-30x+6
Step-by-step explanation:
multiply the parentheses
(8x-2)(3x-3)
calculate multiply
8x•3x-8x•3-2•3x-2•(-3)
collect like terms
24x²-30x+6
prove that 15-7 root 3 is irrational
Answer:
Step-by-step explanation:
[tex]\text{Did you mean}\\ \\ \sqrt[3]{15-7}\\ \\ \sqrt[3]{8}=2\text{ which IS a rational number}[/tex]
Rewrite the point-slope equation in slope-intercept form: y - 3 = 2(x + 4)
A) y = 2x + 5C
B) y = 2x + 7
C) y = 2x + 9
D) y = 2x + 11
Answer:
y = 2x + 11
Step-by-step explanation:
y - 3 = 2(x + 4)
y - 3 = 2*x + 2*4
y -3 = 2x + 8
y = 2x + 8 +3
y = 2x + 11
A set cards has the numbers 1 through 25 on each card. Each numbers appears on exactly one card. What is P (less than8)?
Answer:
7/25
Step-by-step explanation:
What are the center and the radius of the circle 4x2 + 4y2 - 4x + 16y + 1 = 0?
Answer:
Center of circle: (1, -2)
Radius: √6
Step-by-step explanation:
First, we need to isolate the constant:
Then, we can divide the whole equation by 4:
Then, we can complete the square(reminder: (a+b)^2 = a^2 + 2ab + b^2)
Now that we got the standard equation of the circle, we can find the center and radius by using the equation , where (h, k) is the coordinate of the center, and r is the radius.
Therefore, the center of the circle is (1, -2), and the radius of the circle is √6.
Step-by-step explanation:
The center and radius of the circle 4x² + 4y² - 4x + 16y + 1 = 0 are (1/2, -2) and 2 respectively.
To solve the question, we need to know the standard equation of a circle.
What is the standard equation of a circle?The standard equation of a circle with center (h,k) and radius, r is
(x - h)² + (y - k)² = r² (1)
Now, to find the center and radius of 4x² + 4y² - 4x + 16y + 1 = 0, we convert it to standard form by completing the square method.
What is completing the square method?This is a mathematical operation in which we convert a mathematical expression into a perfect square.
So, 4x² + 4y² - 4x + 16y + 1 = 0
Subtracting 1 from both sides, we have
4x² + 4y² - 4x + 16y + 1 - 1 = 0 - 1
4x² + 4y² - 4x + 16y = - 1
Divding through by 4, we have
x² + y² - x + 4y = -1/4
Adding half the square of the coefficient of x and y to both sides, we have
x² + y² - x + 4y + (-1/2)² + 2² = -1/4 + (-1/2)² + 2²
x² - x + (-1/2)² + y² + 4y + 2² = -1/4 + 1/4 + 2²
(x - 1/2)² + (y + 2)² = 0 + 2²
(x - 1/2)² + (y + 2)² = 2² (2)
Comparing equations (1) and (2), we have h = 1/2, k = -2 and r = 2.
So, the center and radius of the circle 4x² + 4y² - 4x + 16y + 1 = 0 are (1/2, -2) and 2 respectively.
Learn more about standard equation of a circle here:
brainly.com/question/7622620
Shaan’s math homework scores for the semester are 90, 85, 98, 60, 84, and 78. Shaan’s teacher said she would drop the lowest homework score when calculating grades. How does the mean of Shaan’s actual math scores compare to the mean of the scores when the lowest one is dropped?
a. The relationship cannot be determined.
b. The final mean is the same as the original.
c. The final mean is lower than the original.
d. The final mean is higher than the original.
Answer:
The final mean is higher
Step-by-step explanation:
The mean of all the scores = [tex]\frac{90 + 85 + 98 + 60 + 84 + 78}{6\\} = \frac{495}{6} = 82.5\\[/tex]
The mean of the scores with the 60 dropped = [tex]\frac{435}{5} = 87[/tex]
The final mean is higher
That will always happen when you drop the lowest score. I worked it out for you so that you would see that it happened in your case.
Answer:
lol i have this question too
Step-by-step explanation:
btw is yall really in highschool, cuz this is a middle school question......
please help meee!
If the points (-9, ) and (-8, -9) fall on a line with a slope of -5. What is the value of f?
Answer:
the value of f is -9
Step-by-step explanation:
The possibility of an event happening is its ______.
Answer:
Probability
Step-by-step explanation:
Answer:
Probability.
Step-by-step explanation: This is the chance of an event or something happening. Like one green, blue, yellow, and a red square have a1/4 chance of happening since there are four. This can go to 1/6 if we add white and purple to the spinner.
The figure below is reflected over y-axis and then rotated 180° counterclockwise.
What are the coordinates of the image of point Y after these transformations?
Answer:
The coordinates of point y after the transformation is (-6,5)
Step-by-step explanation:
Firstly , we need to get the coordinates of the point y before the transformation
The coordinates are
(-6,-5)
By reflecting over the y-axis, we have the following change;
(x,y) becomes (-x,y)
So we have;
(6,-5)
Then we are to rotate at an angle of 180 degrees counterclockwise
The operation here will be;
(x,y) to (-x,-y)
So we have;
(6,-5) to (-6,5)
PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry
Answer:
I believe that you are missing the...
Hypotenuse and Adjacent
Hypotenuse: x ≈ 29.79 units
Adjacent: x ≈ 38.89 units
Step-by-step explanation:
So sorry if it's wrong
find the value of given expression
[tex] \sqrt{8100} [/tex]
Answer:
90 is the answers for the question
what is the solution to the inequality
A triangle has sides with lengths of 44 meters, 55 meters, and 77 meters. Is it a right triangle?
Answer:
no it is not a right triangle because the lengths add up to 176 and a right triangle should add up to 190.
Step-by-step explanation:
The side measures of the triangle does not form a right triangle.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The side lengths of the triangle are 44 meters, 55 meters, 77 meters.
For the triangle to be a right triangle, one interior angle should be 90°.
Based on the sides, by Pythagoras theorem,
Square of long side = sum of square of other two sides
⇒ [tex]77^{2}=44^{2} +55^{2}[/tex]
⇒ [tex]5929=1936+3025[/tex]
⇒ [tex]5929\neq 4961[/tex]
Hence we can conclude that the side measures of the triangle does not form a right triangle.
Learn more about triangles here
https://brainly.com/question/6322314
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Maria buys 4 1/5 pounds of plums. The total cost after using the coupon for 55 cents off her entire purchase is 3.23$. If c represents the cost of the plums in dollars per pound, what equation could represent the situation?
$3.23 = 4 1/5c - .55
4 1/5c = the pounds of plums, and the cost of each pound. - .55 represents subtracting the coupon.
Please solve help plz plz plz
Answer: it is an octagonal prism
Answer:
It's a hexagonal prism
What is the number lateral faces, bases, edges and vertices? Pls I need this ASAP
Answer:
4 lateral faces
1 base
8 edges
5 vertices
hii please help i’ll give brainliest
Answer:
X>3
Step-by-step explanation:
Factor 60y-90-20x to identify the equivalent expressions. Choose two answers.
5(14-16-4x)
2(30-45-10)
5(12y-18-4x)
10(6y-9-2x)
One-half cup is 4 fluid Ounces. How many fluid Ounces will 7% cups be?
what number can go into 48 and 24
Answer:
1, 2, 3, 4, 6, 8, 12, 16
Step-by-step explanation:
just factor it
please help! need answers today!!
Answer:
Step-by-step explanation:
log 31.3= 1.49554433755 (round to 1.496)
ln square root of 7= 0.97295507452 (round to .973)
15 points! whats value of q?
Answer:
30 degrees
Step-by-step explanation:
Good luck fam
what ur fav ainme :)
Genise is making cookies. She needs 1 2/3 cups of flour for one batch, but she wants to make 2 1/2batches. Write an equation that can be used to find how many cups of flour Genise will need. I need help with my math quiz thanks
Answer:
(1 2 ÷ 3) (2 1 ÷ 2) = x
Step-by-step explanation:
The equation is
Let us assume x be the amount of flour she will need in cups.
Now
1 2 ÷ 3 becomes 5 ÷ 3
2 1 ÷ 3 becomes 5 ÷ 2
Now multiply each number
(5 ÷ 3)(5 ÷ 2) = x
25 ÷ 6 = x
Hence, (1 2 ÷ 3) (2 1 ÷ 2) = x this would be the equation
What is 90\%90%90, percent of 202020?
Answer:
90 Percent of 20 is 18
Step-by-step explanation:
multiply 90 x 100 then divide by 20
b(-3)=-12
Find the solution
Answer:
b =4
Step-by-step explanation:
Remove parentheses.[tex]b * -3 =-12[/tex]
2. Regroup terms
[tex]-3b=-12[/tex]
3. Divide both sides by -3.
[tex]b=\frac{-12}{-3}[/tex]
4. Two negatives make a positive.
[tex]b=\frac{12}{3}[/tex]
5. Simplify [tex]\frac{12}{3}[/tex] to 4.
b = 4
Johnson Middle School has 400
students. Pam surveys a random
sample of 40 students and finds that
15 of them have a computer. How
many tolal students at the school are
likely to have computers?
A 60
B 150
C 160
B 150
Answer:
the answer is B. 150
A store pays $45 for a video game. The percent of markup is 35%. What is the selling price of the video game?
simplest form of ratio 24:36:60
Answer:
2:3:5
Step-by-step explanation:
24:36:60
1) Find the greatest common factor
24 ⇒ 1, 2, 3, 4, 6, 8, 12, 24
36 ⇒ 1, 2, 3, 4, 6, 9, 12, 18, 36
60 ⇒ 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Therefore, the greatest common factor is 12.
2) Divide all values by 12
24 ÷ 12 = 2
36 ÷ 12 = 3
60 ÷ 12 = 5
Therefore, the simplified form of the ratio is 2:3:5.
I hope this helps!