Miguel plots points a, b, and c in the coordinate plane. what is the distance
between points a and b?
a(-3,2)
b(-6,-2)
c(0,-2)
Answers
The distance between a and b is 5 units.
What is an Equilateral Triangle?An equilateral triangle has three sides that have the same length. The triangle is defined as the plane two-dimensional figure with three sides having the sum of the three angles of 180 degrees.
Since the figure is missing in the question so I have attached the figure of the points on the graph for better understanding.
The given coordinates are as follows:-
a (-3, 2)
b (-6, -2)
c (0, -2)
Use the distance formula,[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] , to find ab.
ab = √[(−6−(−3))² + (−2−2)²]
ab = √25
ab = 5 units
Therefore the distance between A and B is 5 units.
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Related Questions
1, 2, 2, 3, 4, 6, 8, 9, 10
What is the median?
Answers
Answer:
4
Step-by-step explanation:
Mean (Average) 5
Median 4
Range 9
Mode 2, appeared 2 times
Geometric Mean 3.8971508839086
Largest 10
Smallest 1
Sum 45
Count 9
Sorted Data Set: 1, 2, 2, 3, 4, 6, 8, 9, 10
can someone explain how to do this
im not very smart
Answers
Answer:
50.24sq units
Step-by-step explanation:
4^2=4x4
4x4=16
16x3.14=50.24
Kayley needs to find the area of a circle. Which process should she use?
Answers
Answer:
Find the radius then square it, and multiply by pie.
r = 3
π = 3.14159
a = πr2
a = π(3)2
a = π(9)
a ≈ 28.27
Step-by-step explanation:
You just need to find the diameter of a circle, then halve it and plug in the information to the formula above.
I’ll give brianliest to anyone who can help me.
Answers
Answer:
the graph cannot represent a function because there are multiple (and likely infinite) places where y has changed but x remains the same
Step-by-step explanation:
someone pls help it is due on monday and thank you
The next model of a sports car will cost more than the current model. The current model costs . How much will the price increase in dollars? What will be the price of the next model?
Increase in price:
Price of next model:
Answers
Answer:
Step-by-step explanation:
1. Given that $53000 represents 100% of the original cost. You know that 6.9% as a percentage is equivalent to 0.069 as a decimal.
Increase in price:
= 53000 * 0.069
= $3657
2. The question states that the price of the car model is increasing, so you must add the original cost to the increase in price.
Price of next model:
= 53000 + 3657
= $56657
If f(x) = x2 – 2x and g(x) = 6x 4, for which value of x does (f g)(x) = 0? –4 –2 2 4
Answers
The sum of function is a way of adding two or more functions together
The values of x for which f(g(x)) = 0 are -2/3 and -1/3
Sum of functionsThe sum of function is a way of adding two or more functions together
Given the following functions
f(x) = x² - 2x
g(x) = 6x + 4
f(g(x) = f(6x +4))
f(6x+4) = (6x+4)² - 2(6x+4)
(6x+4)² - 2(6x+4) = 0
(6x+4) = 0 and 6x+4-2 = 0
x = -2/3 and -1/3
Hence the values of x for which f(g(x)) = 0 are -2/3 and -1/3
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If sis equal to 16,c is equal to 14m and b is equal to 19m ,find the angles of 5he triangle ABC with following work steps
Answers
Answer:
Below in bold.
Step-by-step explanation:
a = 16, b = 19 and c = 14.
By the Cosine Rule:
cos A = (a^2 - b^2 - c^2) / -2bc, so:
cos A = ( 16^2 - 19^2 - 14^2) / (-2*19*14)
= -301 / - 532
= 0.565789
m < A = 55.54 degrees.
Now Using the Sine Rule:
a / sin A = b / sin B
16 / sin 55.54 = 19/sin B
sin B = 19 * sin 55.54 / 16
= 15.666 / 16
= 0.979125
m < B = 78.27 degrees.
Finally
m < C = 180 - 55.54 - 78.27 = 46.19 degrees.
Solve for x in -
6(3x-5)-7x=25
Answers
Step-by-step explanation:
6 ( 3x - 5 ) - 7x = 25..
18x - 30 - 7x = 25
18x - 7x = 25 + 30
11x = 55
x = 55 / 11
x = 5
[tex]...[/tex]
x=5
Step-by-step explanation:
6(3x-5)-7x=25
18x-30-7x=25
11x-30=25
x=5
Is 23/√3 a rational number? Again is 23 over root 3 a rational or irrational number.
Answers
Answer: irrational number
Step-by-step explanation:
Let us write it out.
[tex]\displaystyle \frac{23}{\sqrt{3} }[/tex]
Next, we will define ratoinal and irrational.
A rational number is a number that can be written as a whole number, fraction, or decimal that ends / repeats.
An irrational number is any number that cannot be turned into a fraction.
Let us see which category the number given falls into.
[tex]\displaystyle \frac{23}{\sqrt{3} } = 13.27905619\;\;\;\;\;\;\text {it goes on...}[/tex]
This means [tex]\frac{23}{\sqrt{3} }[/tex] is an irrational number.
Can the sides of a triangle have lengths 2, 13, and 14?
Answers
Answer:
Yes
Step-by-step explanation:
The larger side is smaller than the other sides combined
(2 + 13) > 14
Hope this helps
PLEASE HELP ILL GIVE BRAINLIST OR WHATEVER
Answers
Answer:
1) $181.40
2) $100
3) $81.40
Step-by-step explanation:
Interest rate is 1.5% which mans that the decimal multiplier is 1.015.
1) To find for 40 yrs we do:
40 yrs = 100 x [tex]1.015^{40}[/tex]
= $181.40
2) He contributed $100
3) He gained $181.40 - $100
= $81.40
Write 6.14 x 10^-5 in Standard Form
Please help :)
Answers
Answer:
0.0000614
Step-by-step explanation:
Since it’s a -5 it’s 5 places back
Hope this helps! ;-)
There are two squares. the perimeter of square x is half the perimeter of square y.
how do the areas of the two squares compare?
o a. the area of square x is one-sixteenth the area of square y.
o b. the area of square x is one-eighth the area of square y.
oc. the area of square x is one-fourth the area of square y.
d. the area of square x is one-half the area of square y.
Answers
The area of square x will be one-fourth of the area of square y. Then the correct option is C.
What is a square?It is a polygon with four sides. The total interior angle is 360 degrees. A square's opposite sides are parallel and all sides are equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
There are two squares.
The perimeter of square x is half the perimeter of square y.
Let the side of the square x be a and the side length of the square y be b. Then we have
Perimeter x = Perimeter y / 2
4a = 2b
2a = b
Then the area of the square x will be
Area of square x = (2a)²
Area of square x = 4a²
Then the area of the square y will be
Area of square x = (b)²
Area of square x = b²
Then the area of square x will be one-fourth of the area of square y.
Thus, the correct option is C.
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I need help solving this
Answers
The end behavior of the function is:
as x ⇒ ∞, f(x) ⇒ ∞as x ⇒ -∞, f(x) ⇒ ∞So the correct statement is the second one.
How is the end behavior of the graphed function?
For a function f(x), the end behavior is how f(x) behaves when:
x ⇒ ∞x ⇒ -∞If you look at the graph, you can see that in both ends (left and right) the function ends going upwards. This means that in both limits, the function will tend to positive infinity.
Then the end behavior is:
as x ⇒ ∞, f(x) ⇒ ∞as x ⇒ -∞, f(x) ⇒ ∞So the true statement is the second one.
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What is the measure of angle D?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answers
Answer:
29.05°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and side lengths in a right triangle. In your triangle, the sides adjacent and opposite angle D are given. The relevant relation is ...
Tan = Opposite/Adjacent
__
Using the given values, we have ...
tan(D) = (25 ft)/(45 ft) = 5/9
The value of the angle is found using the inverse tangent function.
D = arctan(5/9) ≈ 29.05°
The measure of angle D is about 29.05°.
Which of the following statements is true for a sphere?
A sphere is the set of all points in space equidistant from a line segment called the radius.
Answer A: A sphere is the set of all points in space equidistant from a line segment called the radius.
A
A sphere is the set of all points in space equidistant from a point called the center.
Answer B: A sphere is the set of all points in space equidistant from a point called the center.
B
A sphere is the set of all points in a plane equidistant from a line segment called the radius.
Answer C: A sphere is the set of all points in a plane equidistant from a line segment called the radius.
C
Answer D : A sphere is the set of all points in a plane equidistant from a point called the center.
Answers
The answer choice which is true of a sphere; A sphere is the set of all points in space equidistant from a point called the center.
What is a Sphere?A sphere is a geometrical entity that is characterized as a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance from a given point in three-dimensional space. The given point in discuss is the centre of the sphere, and distance, r is the sphere's radius.
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John spins a fair spinner with 5 equal sections numbered 1 through 5. His spin lands on the number 2. What is the probability that John's next three spins land on the number 2
Answers
Using it's concept, it is found that the probability that John's next three spins land on the number 2 is of [tex]\frac{1}{125}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that out of 5 numbers, one is 2, hence the probability of three consecutive spins landing on two is given by:
[tex]p = \left(\frac{1}{5}\right)^3 = \frac{1}{125}[/tex].
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Does anybody understand this? Been struggling with it for awhile. Use the rectangle to find the measure of the following angles. BAC=25
Answers
Answer:
∠CBA =90°; ∠CAD =65°; ∠ACD =25°; ∠CBD = 65°
∠BWA = 130°; ∠AWD = 50°
Step-by-step explanation:
The diagonals of a rectangle divide the figure into two pairs of congruent isosceles triangles. The figure is symmetrical about both the vertical and horizontal centerlines. Each corner angle of the rectangle is 90°. Of course, the sum of angles in any of the triangles is 180°.
__
The above descriptions tell you ...
∠ABD =∠ACD =∠BAC =∠BDC = 25°
∠CBA =∠BCD =∠CDA =∠DAB = 90°
∠CAD =∠CBD =∠ACB =∠ADB = 90° -25° = 65°
∠BWA =∠CWD = 180° -25° -25° = 130°
∠AWD = ∠BWC = 180° -65° -65° = 50°
Which number sentence is not true?
A. | -1 | > 1/2
B. | -1 | = -1
C. | 1/2 | < | -1 |
D. | -1/2 | < | -1 |
Answers
Answer:
Option B
Step-by-step explanation:
|-1| [tex]\neq[/tex] -1
|-1| = 1
Answer:b
Step-by-step explanation: bc it’s right
The first three terms of a geometric sequence are as follows 80, 40, 20 what are the next 2 terms of the sequence
Answers
80 40 20 10 5
Step-by-step explanation: Divide 20 by 40 then 40 by 80 They all are divisible by .5so then times .5 to get the next terms
can any one tell me how to solve this ?? I) (-121) + ______ = 11 II). (-81) ÷ 27 = ______
(Integers)
Answers
Answer:
is this the answer
Step-by-step explanation:
I (-121)+...=11
=(-121)+132
=11
II -81/27
=-3
Solve the following equation x2+6x=27 x = and
Answers
Answer:
Step-by-step explanation:
Assuming the question is x^2 + 6x = 27x, subtract 6x from both sides. x^2 = 21x. Then, divide both sides by x and you get x= 0, 21
ABC Game store sells new games, n, for $19 and used games, u, for $9. The store earned $7500 in revenue last month. The store sold 4 times as many used games as new games. Write a system of equations that represents this scenario.
Answers
Answer:
19n+9u=7500 and 4u-n
Step-by-step explanation:
Nasim is flying a kite, holding his hands a distance of 2.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 28 degrees. If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answers
The height of Nasim kite above the ground is 51.79 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height from Nasim hand to the kite, hence:
sin(28) = h / 105
h = 49.29
Kite height above the ground = 2.5 + 49.29 = 51.79 feet
The height of Nasim kite above the ground is 51.79 feet
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help with practice problem
Answers
Answer:
-5<x<-3
Step-by-step explanation:
Hope this helps! ;-)
Please help me with my math please .?
Answers
Answer:
Step-by-step explanation:
100 points! plus brainlyist!
Answers
Answer:
x=2
Step-by-step explanation:
We must equate f(x)=g(x) ;
x+3=2x^2-3
2x^2-x-6=0, when we solve for x in this equation we get 2 solutions:
x=2, x=-1.5
Since -1.5 is not seen in the table, we consider the value 2.
At x=2 in the table both f(x) and g(x) have the same value 5 and proves f(x)=g(x) has a solution at x=2.
Answer:
x = 2
Step-by-step explanation:
Given:
f(x) = |x| + 3
g(x) = 2x² - 3
From inspection of the table, the equation f(x) = g(x) has a solution when
x = 2 as this is the only value of x when the two functions have the same value of 5.
See attached graph for proof. The points of intersection are the solutions: (-2, 5) and (2, 5). (Since x = -2 is not in the given table, this is not included in the answer to this question).
writes 25 x 10 to the power of 6
Answers
[tex](25*10)^6[/tex]
Sure hope this helps you
And please mark me brianiest if this is correct
Determine the missing value, x. Then, classify the triangle by side and by angle measure.
Question in below;
Answers
The value of x in the right angle triangle is approximately 45 degrees.
How to find an angle in a right angle triangle?The angle of the right angle triangle can be found as follows:
Therefore, let's find the hypotenuse side using Pythagoras theorem,
6² + 6² = c²
c² = 72
c = √72
c = 8.48528137424
c = 8.5 cm
Hence,
sin x = opposite / hypotenuse
sin x = 6 / 8.5
sin x = 0.70588235294
x = sin⁻¹ 0.70588235294
x = 44.9006818301
x = 45°
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The table shows the relationship between the number of minutes Ted has driven, m, and the total distance he has traveled, d, in miles. Which equation represents the relationships in the table? Group of answer choices d = 2m m = d d = m - 5 d = m
Answers
The proportional equation that represents the relationship in the table is given as follows:
d = km
In which k is the number of miles he drives per minute(the ratio of the values in the table).
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the constant of proportionality is the number of miles he travels in a minute, which is the ratio of the distances in the table. Hence the equation is given by:
d = km.
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