The equation that can be used to find the coordinates of B given the coordinates of A and the length of the line segment AB is given by: Option B: 3 =√[(x-4)² + (y-2)²]
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
For this case, we're specified that:
The coordinates of A are (4,2)
The distance from A to B = 3
Let the coordinates of B be (x,y), and (p,q) = (4,2), then we get;
[tex]D = \sqrt{(x-p)^2 + (y-q)^2}\\\\or\\\\3 = \sqrt{(x-4)^2 + (y-2)^2}\\[/tex]
Thus, the equation that can be used to find the coordinates of B given the coordinates of A and the length of the line segment AB is given by: Option B: 3 =√[(x-4)² + (y-2)²]
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Help on all 3 questions
Answer:
a. What is the slope of the line?
[tex]y = -3x-3[/tex]
b. What is the x-intercept of the line? (Where does the line cross the x-axis?)
[tex](-1,0)[/tex]
c. What is the y-intercept of the line? (Where does the line cross the y-axis?)
[tex](0, -3)[/tex]
Step-by-step explanation:
Calculate slope:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{-3-0}{0-(-1)} \\m = \frac{-3}{1}\\m = -3[/tex]
Calculate y-intercept:
(Pick any point that lies on the line)
[tex](-1,0)[/tex]
[tex]b = y - (mx)\\b = 0 - (-3 * -1)\\b = 0 - (3)\\b = -3[/tex]
Create function:
[tex]y = -3x-3[/tex]
Get x-intercept:
Set y = 0:
[tex]0 = -3x-3\\3 = -3x\\-1 =x[/tex]
[tex](-1,0)[/tex]
Get y-intercept:
Set x = 0:
[tex]y = -3x-3\\y = -3 * 0 -3\\y = 0 - 3\\y = -3[/tex]
[tex](0, -3)[/tex]
Find the measure of <1
Please answer ASAP
Answer: 70 degrees
Step-by-step explanation:
The angle created by a tangent and a chord is half the measure of the arc.
Find x
Pls help me.
Answer:
109
Step-by-step explanation:
as we can see x is an outer exterior angle and according to its property sum of an interior angle and an outer exterior angle = 180
The interior angle is 40+31 = 71
71 + x = 180
x = 180 -71
therefore x = 109
can 24 divide evenly n2 1240
Answer:
No
Step-by-step explanation:
1240/24 = 51.6
It will give you a decimal so therefore it will not go evenly
Suppose you have drawn two cards: 10 of clubs and 4 of hearts. You now draw a third card from the remaining 50. What is the probability that the sum of all three cards is strictly larger than 21
The probability that the sum is strictly larger than 21 is P = 0.46
How to find the probability?
We already have a 10 and a 4, so: 10 + 4 = 14
To sum more than 21, we need to draw at least an 8.
On the deck there are:
6 cards equal or larger than 8 of diamonds.6 cards equal or larger than 8 of clubs.6 cards equal or larger than 8 of spades5 cards equal or larger than 8 of hearts (because we already drew the 10).So, 23 out of 50 cards meet our requirements. So the probability will be:
P = 23/50 = 0.46
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the quadrilaterals ABCD and JKLM are similar. Find the length of x of KL
sorry if the photo does not load
Answer:
1.5
Step-by-step explanation:
abcd is 2 times bigger than jklm. so 3÷2=1.5
5÷2=2.5
2÷2=1
7÷2=3.5
so that means 3÷2=1.5
Can anyone help me been stuck for a while
Every year on field day, the teachers at Jefferson Middle School compete in a water balloon toss. Last year, Ellie tracked the number of passes made by each team of teachers.
Step-by-step explanation:
14, 14,median
So option d is right
I hope it helped you
The sum of three consecutive even numbers is 48. Find the three numbers
Answer:
14, 16, 18
Step-by-step explanation:
Three even numbers means they are seperated by a distance of 2
Write this equation
x-2+x+x+2=48
x=16
So the three even numbers are 14, 16, 18
Answer:
14, 16, 18
Step-by-step explanation:
Thats the answer the guy above me is correct
A store has clearance items that have been marked down by 45%. They are having a sale, advertising an additional 40% off clearance items. What percent of the original price do you end up paying?
Answer:
33%
Step-by-step explanation:
x = original price now take 45% off <=====means you pay 55% of original
.55 x is the new price now take 40% MORE off (leaving 60%)
.55x * .6 = .33 x
What is the area of the
figure shown?
in?
3 in.
10 in.
5 in.
10 in.
Intro
Done
Answer:
65in^2
Step-by-step explanation:
5*10+(1/2)*3*10=65
Find the median of the following numbers.
79, 27, 24, 11, 14, 11
Answer: Median is 19, Mean is 27.666..7
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
Answer:
19
Step-by-step explanation:
fore refrence, heres the data from least to greatest, this is important for this question
11, 11, 14, 24, 27, 79
since the points for this set is even (6 points in the data set) we first need to devide it into two groups at the center
11, 11, 14 and 24, 27, 79
then take the two numbers from the inside ends ((in bold)) and find the average between them, since these are the centermost numbers in the full set
14 + 24 = 38
38 / 2 = 19
therefore the median for the dataset is 19
No additional support is required for this installation (the earth can support the conduits) if the conduit length from the finish surface (dirt here) to the box is ___ inches or less.
If the conduit length from the finished surface (dirt area) to the box is 18 inches or less, no extra support is necessary for this installation.
What is Trenchless Installation of Conduits Underneath Highway?Trenchless Installation of Conduits Underneath Highways is described as a planned and engineered way with the issue of permits for installing conduits beneath roadways, local transportation authorities; and manufacturers of trenchless construction equipment.
It presents the current situation of the technique for laying conduits beneath highways without open-cut excavation using trenchless technology.
If the conduit length from the finished surface (dirt area) to the box is 18 inches or less, no extra support is necessary for this installation.
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PLEASE HELP IM TIMES
Answer:
k = 60°
Step-by-step explanation:
y and z are parallel with each other against x line.
So we can make (2k+11)° = 131° and then solve for k.
2k + 11 = 131°
2k = 131° - 11°
2k = 120°
k = 60°
6=2s/9 (Solve the equation.)
Answer:
27 = s
Step-by-step explanation:
First multiply both sides by 9. (9)6= 2s(9) turns into 54=2s. Then divide both sides by 2 to find the value for s. 54/2 = 2s/2.
Divide. Write your answer as a fraction or a mixed number in simplest form. 4 3/4 / 5/6
Answer:
57/10 is the simplest form
Step-by-step explanation:
To divide fractions you need to do the reciprocal rules.
You also need to convert any mixed numbers to improper to make them easier to divide.
4 3/4 and 5/6 are your fractions.
4 3/4 converted into an improper fraction is 19/4
This is because the rule with this is that you take your whole number multiply it by the denominator and take the product and add it to the numerator.
19/4 divided by 5/6.
You need to flip 5/6 to 6/5 due to the reciprocal rules and also change the division sign to a multiplication sign.
19/4 x 6/5
You can multiply straight across!
19 x 6 and 4 x 5
19 x 6 = 114
4 x 5 = 20
Our answer: 114/20
We still need to simplify this answer
We can divide this result into 2/2.
114/20 = 57/10
57/10 is the simplest form. If you were to divide more, you will get involved with decimals.
Answer: 57/10 is the simplest form
Step-by-step explanation:
To divide fractions you need to do the reciprocal rules.You also need to convert any mixed numbers to improper to make them easier to divide.
4 3/4 and 5/6 are your fractions.
4 3/4 conerted into an improper fraction is 19/4
This is because the rule with this is that you take your whole number multiply it by the denominator and take the product and add it to the numerator.
19/4 divided by 5/6.
You need to flip 5/6 to 6/5 due to the reciprocal rules and also change the division sign to a multiplication sign.
19/4 x 6/5
You can multiply straight across!19 x 6 and 4 x 5
19 x 6 = 114
4 x 5 = 20
Our answer: 114/20
We still need to simplify this answer
We can divide this result into 2/2.
114/20 = 57/10
57/10 is the simplest form. If you were to divide more, you will get involved with decimals.
the question is in the picture
Answer:
graph B represents the pattern best .
Step-by-step explanation:
hope it will help you
A cylinder with radius 6 centimeters
and height 18 centimeters is shown.
Enter the volume of the cylinder, in cubic centimeters round your answer to the nearest hundredth.
The volume of the cylinder with a radius of 6 cm and a height of 18 cm is calculated, to the nearest hundreth, as: 2035.75 cm³.
What is the Volume of a Cylinder?Volume of a cylinder = πr²h
Given the parameters of the cylinder:
Radius (r) = 6 cmHeight (h) = 18 cmVolume of the cylinder = πr²h = π(6²)(18)
Volume of the cylinder = 2035.75 cm³
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I WILL GIVE YOU 85 POINTS
Answer:
a.) 2nd quarter
b.) ur just adding up all the goals, add all the away goals and home goals from every quarter and youll get an answer of 48
c. And for this one you adding all the home goals seperatly from away goals, theres 26 home goals and 22 away goals. now 26 - 22 = 4, so the anwser is 4.
Two equilateral triangles are similar
A. Always
B. Sometimes
C. never
Answer:
b
Step-by-step explanation:
The AAA Triangle Similarity Postulate asserts that if all of the angles in a triangle are equal to the corresponding angles in another triangle, then those two triangles are equal. Since every equilateral triangle's angles are 60 degrees, every equilateral triangle is similar to one another due to this AAA Postulate.
Solve for x: 2/7 (x-2) =4c
Answer:
x=14c+2
Step-by-step explanation:
[tex]\frac{2}{7} (x-2)=4c \\\frac{2}{7}x-\frac{4}{7} =4c\\\frac{2}{7}x=4c+\frac{4}{7}\\\frac{2}{7}x= \frac{28c+4}{7} \\2x=28c+4\\x=14c+2[/tex]
please help me with this
Answer:
here, hope it helps
Step-by-step explanation:
17. A
18. B
19. A
3a + 2=11... need help urgently.
Answer:
a=3
Step-by-step explanation:
3a+2=11
-2
3a=9/3
a=3
Answer:
answer is a=3
Step-by-step explanation:
Can someone please help me ??
Answer:
C
Step-by-step explanation:
The values are not vectors so ST/SR should be 3
Will award brainliest for the correct answer!
Answer:
4x³Step-by-step explanation:
8x⁴y⁴ = 4×2×x³×x¹×y⁴ = 4x³×(2xy⁴)
12x³z² = 4×3×x³×z² = 4x³×(3z²)
Then the greatest common factor is of the two terms 8x⁴y⁴ and 12x³z² is:
4x³
EP6. Abby works at a job that starts out paying $15 per hour. Each year she continues
at the job, she will get a 5% raise. How much will Abby make per hour if she stays at that
job for 30 years?
Answer:
$64.83.
Step-by-step explanation:
Each year the multiplier fffor her new rate will be 1.05.
So after 30 years her hourly rate will be 15 * 1.05^30
= $64.83
What slope would make the lines
perpendicular?
y = 1/2x-1
y = [?]x - 1
Answer:
y = [-2]x - 1
Step-by-step explanation:
y = [-2]x - 1 will make the lines perpendicular.
Because the product of slopes of perpendicular lines is -1
-> 1/2*(-2) = -1
Hope it helps you in your learning process.
Which of the following do not represent a function of x?
F
G
H
J
Answer:
f,j
Step-by-step explanation:
A recipe requires ¼ lb. of ground beef to make 5 servings of lasagna. Ricardo has 3 ½ lbs. of ground beef. How many servings can Ricardo make?
Answer:
70 servings
Step-by-step explanation:
3 and 1/2 lbs is equal to 14/4. If 1/4 lbs of ground beef makes 5 servings, and you have 14/4, simply multiply 5 by 14.
Answer:
Ricardo can make 70 servings of lasagna.
Step-by-step explanation:
3.5 divided by 0.25 = 14
14 x 5 = 70
A variable needs to be eliminated to solve
the system of equations below. Choose the
correct first step.
-4x + y = -35
-2x - y = -7
Add to eliminate x.
Add to eliminate y.
Subtract to eliminate x.
Subtract to eliminate y.
Answer:
(7, - 7 )
Step-by-step explanation:
- 4x + y = - 35 → (1)
- 2x - y = - 7 → (2)
adding the 2 equations term by term will eliminate the y- term
(- 4x - 2x) + (y - y) = - 35 - 7
- 6x + 0 = - 42
- 6x = - 42 ( divide both sides by - 6 )
x = 7
substitute x = 7 into either of the 2 equations and solve for y
substituting into (1)
- 4(7) + y = - 35
- 28 + y = - 35 ( add 28 to both sides )
y = - 7
solution is (7, - 7 )