Find the distance between the two points in simplest radical form.
(1, -7) and (7,0)
Answer:
The distance between the two given points is equal to √85.
Step-by-step explanation:
Let's recall what the distance formula is:
[tex]\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }[/tex]
We are defined our two points as:
(x₁, y₁) → (1, -7)(x₂, y₂) → (7, 0)We can rewrite this into our different "variables":
x₁ = 1y₁ = -7x₂ = 7y₂ = 0Now given our distance formula and our variables, we can find the distance between the two points:
[tex]\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}[/tex]
∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.
Hope this helps!
Write the missing number to make these equivalent fractions correct.
?/20 = 2/5
Five starts to the first person to answer me!!!
Answer:
8/20 = 2/5
Hope this helps!
What the area of this shape
Answer: The Answer is 150.
I don't know if this is the right answer
Multiply the binomials:
Answer:
2y² + y - 15
Step-by-step explanation:
ConceptsMultiplying Binomials:To multiply binomials, it's best to use the FOIL method, which stands for First, Outside, Inside, and Last. Let's analyze the first, outside, inside, and last term in the binomial we're given by bolding them (in addition, the numbers we bolded are the numbers we multiply; i.e. for the first term, we multiply y and 2y):
First: (y + 3)(2y - 5)Outside: (y + 3)(2y - 5)Inside: (y + 3)(2y - 5)Last: (y + 3)(2y - 5) SolvingSolving the BinomialStep 1: Apply FOIL method.
[tex](y)(2y) + (y)(-5) + (3)(2y) + (3)(-5)[/tex] [tex]2y^2 -5y +6y -15[/tex]Step 2: Simplify.
[tex](2y^2)+ (-5y+6y)+(-15)[/tex] [tex]2y^2+y-15[/tex]Therefore, the answer is 2y² + y - 15.
Answer:2[tex]y^{2}[/tex]+y-15
Step-by-step explanation:
(using distributive property)
(y+3)(2y-5)
y(2y-5)+3(2y-5)
2y^2-5y+6y-15
2y^2+y-15
At a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 60 calls and a standard deviation of 10 calls. What is the probability that during a given hour of the day there will be between 53 calls and 61 calls, to the nearest thousandth?
Answer:that one man that got blast
Step-by-step explanation:
Answer:≈
0.298
≈0.298
Step-by-step explanation:�
=
60
�
=
10
μ=60σ=10
Draw a picture:
Draw a picture:
μ−3σ
μ−2σ
μ−σ
μ
μ+σ
μ+2σ
μ+3σ
30
40
50
60
70
80
90
53
61
Use Calculator:
Use Calculator:
lower:
lower:
53
53
upper:
upper:
61
61
�
:
μ:
60
60
�
:
σ:
10
10
HELP HE:LP HELPPPPPPPPPPp
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
8
,
−
2
)
Equation Form:
x
=
8
,
y
=
−
2
I give 20 points!!!
If I get 50 euros per month, how many months I need to buy a product for 640 euros
Which property of multiplication allows us to
change what we multiply
first in order to answer a
problem?
Example:
50 X 9 - 10 x (5 x 9)
What is the 10th term in the increasing pattern shown?
1, 1, 2, 3, 5, 8, 13
Answer:
55
Step-by-step explanation:
(after the first "1") You need to add the previous two numbers together to get the next number in the pattern.
The slope of a line is -8. What is the slope of a line that is perpendicular to that line?
A) -8
B) -1/8
C) 1/8
D) 8
Answer:
B
Step-by-step explanation:
For 2 lines to be perpendicular, their gradients must have a product of -1Only one that matches this is BAnswer:
C
Step-by-step explanation:
Slope m = -8 perpindicular slope = -1/m = 1/8
PLEASE HELP!!!
Find P15, which is the IQ score separating the bottom 15% from the the top 85%. Assume the scores are normally distributed with a mean of 100 and a standard deviation of 15.
A. 82.5 B.83.3 C.84.0 D.84.6
I need help I don't understand
Answer:
I think it's 6 because there are 6 sides that make up the cube, hopefully I'm right.
Answer:
All the lines put 10 above it
Step-by-step explanation:
All the dimensions (Number of squares) Are equal to ten
The ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. Gillian rented skates and skated for 3 hours and was charged $21. Which equation represents the cost, c(x), of ice skating as a function of x, the number of hours of skating?
c(x) = 3x + 3
c(x) = 6x + 3
c(x) = 7x + 3
c(x) = 8x + 3
Answer:
c(x) = 6x + 3
Step-by-step explanation:
c(x) = 6x + 3
he skated for 3 hrs and was charged $21
c(3) = 6(3) + c(3) = 18 + 3
c(3) = 21
correct....so it is c(x) = 6x + 3
p.s please mark this question as brainleist
Thx
answer:
B) c(x) = 6x + 3
explanation:
Gillian rented skates, which costs $3. Now you must subtract that from your total as the next step is to find how much the hourly fee for skating is. $21 - $3 = $18. $18 was the total price for three hours of skating so to find how much the hourly rate is, you divide it by 3. $18/3 = 6. Therefore it is $6 per x amount of hour(s) plus $3 for skates, or simply put, c(x) = 6x +3.
Follow the rule to find the output for an input of -11.
output = input + 12
Step-by-step explanation:
given, output = input + 12
output = -11 + 12
output = 1
The height of a cylinder is 7 inches. another cylinder with the same size base has double the volume. what is the height of the second cylinder? 3.5 in. 7 in. 14 in. 28 in.
Answer:
14
Step-by-step explanation:
what is the y-intercept?
The y intercept is where a line on a graph crosses the y axis when the x coordinate is 0.
Answer:
The point where the line is on the Y axis
Step-by-step explanation:
for example in the equation y=mx+b, b would be the y-intercept or in the equation y=4x+7, the y-intercept would be 7.
You can buy 5 cans for green beans at the Village Market for $2.60. You can buy 10 of the same cans of beans at Sam's Club for $5.50. Which place is the better buy?
Answer:
Village market
Step-by-step explanation:
What you want to do is times the 5 for 2.60 deal by two since 5x2 is 10, and 10 of cans of green beans at Sam's club is 5.50
5x2=10
I
I
V
1
2.60
+2.60
----------
5.20 for 10 cans of green beans at the village market
so the cheaper option is to buy 10 cans of green beans at the Village Market which saves you 30 cents than if you were to get them from Sam's Club
Daniel made 36 cards that are all the same size and shape. Each card has a single number on it, 1, 2, 3, 4, 5, or 6, and is red or green as shown in the table. For example, there are 2 red cards that have the number 5 on them.
Answer:
Daniel made 36 cards that are all the same size and shape. Each card has a single number on it, 1, 2, 3, 4, 5, or 6, and is red or green as shown in the table. For example, there are 2 red cards that have the number 5 on them.
Step-by-step explanation:
HELP!!!!!
50 POINTS!
Answer:
true
false
false
false
Step-by-step explanation:
false 0,0 blue dot go right.
Can someone help me out I will give u brainest
Answer:
A=4πr2=4·π·2.52≈78.53982 ==> A
Step-by-step explanation
the radius is 2.5 feet, the formula is given, then sub for pi and approx answers is 78.5
a grocery gave a 25 discount on all items. if harry bought 248.50 worth of stuff. how much did he pay?
Answer: 186. 375
Step-by-step explanation:
25/100 × 248.50 /1 = 62.125
He paid 248.50 - 62.125
What is the IQR (interquartile range) of the data set represented? Minimum value = 5 Q1=9.5 Median = 17 Q3=23 Maximum value=28 11 12
13.5
23
Answer:
13.5
Step-by-step explanation:
Q3 - Q1 is the interquartile range
23- 9.5
The average speed for a family trip is 62 miles per hour. Which equation models the distance traveled d and time in hours t?
Answer: d = speed × t or d= velocity × time
d = 62t
Step-by-step explanation: See above
The first three steps of completing the square to solve the quadratic equation 2? + 8x + 5 = 0 are shown
below.
Step 1: x² + 8.0 = -5
Step 2: x2 + 8x + 16 = -5+16
Step 3: (x + 4)2 = 11
What are the next 3 steps?
Answer:
x = 3/2
Step-by-step explanation:
Step 4: 2x + 8 = 11
step 5: 2x +8 - 8 = 11 -8
step 6: 2x/2 = 3/2
step 7: x = 3/2
Answer:
see explanation
Step-by-step explanation:
take the square root of both sides
step 4 : x + 4 = ± [tex]\sqrt{11}[/tex] ( subtract 4 from both sides )
step 5 : x = - 4 ± [tex]\sqrt{11}[/tex]
step 6 : x = - 4 - [tex]\sqrt{11}[/tex] , x = - 4 + [tex]\sqrt{11}[/tex]
An internet service provider charges $18 per month plus and initial set-up fee of $10. how many months it will take you to spend $226.
Answer:
226-10 = 216
216:8=27
answer : 27 months
Which units would be used for a measurement of area?
Answer:
cm
Step-by-step explanation:
The area of a square with side 1 cm each is 1 cm × 1 cm = 1 square centimeter.
Answer:
cm^2
For a measurement of area cm^2 unit would be used.
the question is on the image
An icicle drips at a rate that can be represented by the function f(x) = −x2 11x − 18, where 0 ≤ x ≤ 10 and x is the number of hours after the sun has risen. when f(x) is a negative number, the icicle is not dripping. determine the values when the icicle starts and stops dripping. x = 2 and x = 9 x = −2 and x = 9 x = 2 and x = −9 x = −2 and x = −9
Quadratic functions are functions that have a leading degree of 2. The values when the icicle starts and stops dripping is at x = 2 and 9
Application of intercepts of a functionQuadratic functions are functions that have a leading degree of 2.
Given the equation that represents the rate at which an icicle drips below:
f(x) = −x^2 + 11x − 18
If the icicle is not dripping at the point where f(x) is a negative number, hence point where the icicle starts and stops dripping is the point where f(x) =0
Substitute
−x^2 + 11x − 18 = 0
x^2 - 11x + 18 = 0
x^2 - 9x - 2x + 18 =0
x(x - 9)-2(x-9) = 0
x = 2 and 9
Hence the values when the icicle starts and stops dripping is at x = 2 and 9
Learn more on intercepts here: https://brainly.com/question/24990033
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Joy is making hand-painted ornaments for
her family this year. Yesterday, she made 2
ornaments in 6 hours. This weekend, she
plans to spend a total of 15 hours making
ornaments.
If Joy works at the same rate, how many
ornaments will she make this weekend?
Answer:
1 ornament per 3 hours
in 15 hours she will have 7.5 of them done
Answer:
5 Ornaments
Step-by-step explanation:
First, we take into account that 24 hours are in one day. We then make the equation 6/24, which tells us that she can make 8 ornaments in 24 hours. That's not the answer we need though.
We will divide 2 by 6 = 0.33
We can take that and multiply it by 15 hours to get 5 ornaments total.
Hope this answer helped u out :D
Its asking to expand and simplify an expression for the area of this rectangle.
Answer:
4x^2 + 11x - 20
Step-by-step explanation:
area is width X heightmultiply the width (4x - 5) and the height(X + 4)I always imagine a multiplication grid for this kind of problem, with X and +4 at the top and 4x and -5 going down, and then combine termsyou get 4x^2 + 11x - 20Answer:
(4x-5)(x+4)
4x squared- 16x -5x - 204x squared-21x - 20