Given:
Point B has coordinates (4,1).
The x-coordinate of point A is -4.
The distance between point A and point B is 10 units.
To find:
The possible coordinates of point A.
Solution:
Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The distance between point A and point B is 10 units.
[tex]\sqrt{(4-(-4))^2+(1-y)^2}=10[/tex]
Taking square on both sides, we get
[tex](8)^2+(1-y)^2=100[/tex]
[tex](1-y)^2=100-64[/tex]
[tex](1-y)^2=36[/tex]
Taking square root on both sides, we get
[tex](1-y)=\pm \sqrt{36}[/tex]
[tex]-y=\pm 6-1[/tex]
[tex]y=1\mp 6[/tex]
[tex]y=1-6[/tex] and [tex]y=1+6[/tex]
[tex]y=-5[/tex] and [tex]y=7[/tex]
Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).
I need help ASAP The number of snacks in 5 packages was 122, 134, 150, 145, and 133. Suppose the mean for 6 packages was 144. How many snacks were in the sixth package?
Which of the following phrases are equations?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
4x^34x
3
4, x, cubed
(Choice B)
B
b=9b=9b, equals, 9
(Choice C)
C
7+19=26\text{}7+19=267, plus, 19, equals, 26, start text, end text
(Choice D)
D
a+9>72a+9>72a, plus, 9, is greater than, 72
(Choice E)
E
x+y-\dfrac83x+y−
3
8
Answer:
c b
Step-by-step explanation:
khan
At 7am there was 4 inches of snow on the ground. After that, the snow fell at a rate of 1.5 inches per hour. Equation:
Answer:
y(t) = 4 + 1.5t
.
Step-by-step explanation:
Initial amount of snow = 4 inches
Fall rate of snow = 1.5 inch per hour
Equation to model the scenario goes thus :
Initial amount of snow + (fall rate of snow * number of hours)
Let the number of hours = h
4 inches + (1.5 inch per hour * h)
Equation, y(t) becomes ;
y(t) = 4 + 1.5t
Hiiioo :D can someone please help. I really need help. Much love ❤️❤️❤️
Answer:
The answer is the second one!
Have a wonderful day/night! <3
What is the independent and dependent variable in this statement, types of pizza or number of votes
Answer: type of pizza is dependant and the number of votes is independent
Step-by-step explanation:
the type of pizza they get depends on how many votes there are
PLEASE HELP MY MATH GRADE IS LOW AND THIS IS THE ONLY WAY TO GET IT UPPPPP PLEASE I WILL MARK U BRAINLEST PLEASE TRY YOUR BEST THANKSSS SO MUCH
Answer:
I can't see!
Step-by-step explanation:
What’s 6 x 5 * divide* 10? I need answers plz
Answer:
It is 3
Step-by-step explanation:
6*5= 30
30/10= 3
Mark me Brainliest?
What is the perimeter of the triangle?
The perimeter of the triangle is 34.2 units
How to determine the valueTo determine the value of the perimeter, we need to know the following;
A triangle has three sidesA triangle has three anglesThe sum total of the interior angles of a triangle is 180 degreesA triangle is a 3 - sided polygonThe formula that is used for calculating the perimeter of a triangle is expressed as;
P = a + b+ c
Such that a , b and c are the lengths of the sides of the triangle
Then, we have that;
Using the Pythagorean theorem
a² = 81 + 121
a² = 202
a = √202 = 14.2 units
Perimeter = 9 + 11 + 14.2
Add the values
Perimeter = 34.2 units
Learn more about triangles at: https://brainly.com/question/14285697
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What is a Proportional Relationship?
1. One apple costs 25¢. Determine each cost.
a) 2 apples
b) 3 apples
c) 4 apples
d) 6 apples
e) 9 apples
f) 12 apples
please i need the answer
Answer:
12m i think
Step-by-step explanation:
Answer: If it is finding area the answer the area is 9216m if it is perimeter and I believe it is then the perimeter is 40m
What is the length of side a? Round to the nearest tenth of an inch
Answer:
ok this is easy all it is 16-7=9 so a=9 so all it is 7x9=72 then its 72 divided by 2 so your answer is 36
Which of the following describes theoretical probability?
Answer:
Roll of a Die
Step-by-step explanation:
Which one doesn’t belong?
Come up with one reason for at least 3 different boxes
Answer:
I think box #1 doesnt't belong because it say spend $100 and get $10 off
Step-by-step explanation:
Rosa and her friends are eating out for dinner.
The bill was $45.80. They want to leave a 20% tip.
How much should they leave for a tip (gratuity)?
Answer:$9.16
Step-by-step explanation:
What I did was 20% of $45.80! If you have a tip or a percent problem you can think of it as that percent of the certain number. In math "of" means mupltiply.
Punch in your calculator .2 which is 20% times 45.8 and you get your answer $9.16.
Hope this helps bwo
Percent increase in the price
Answer:
?
Step-by-step explanation:
I need help can someone help me pls
Answer:
D: 25 miles
Step-by-step explanation:
Pythagorean Theorem:
[tex]a^{2} + b^2 = c^2[/tex]
36^2 + b^2 = 39^2
1,296 + b^2 = 1,521
b^2 = 225
b = 25
Which method would be the most efficient way to solve the method : substitution method, Eliminating method or equal value 3x+y=1 4x+y=2
Answer:
Eliminating method
Step-by-step explanation:
For the given situation i.e.
3x + y = 1
And,
4x + y = 2
Here we use the elimination to determine the value of x and y
So,
3x + y = 1
4x + y = 2
- - -
-x = -1
x = 1
Now put the value of x in any of the above equation
So,
3 + y = 1
y = -2
The number of songs Oliver has downloaded this year, divided by 12, is equal to 24. What is an equation that represents this situation, and how many songs has Oliver downloaded?
A. 12d = 12: d = 1 song downloaded
B. 12d = 24: d = 2 songs downloaded
C. d12 = 24: d = 288 songs downloaded
D. b12 = 12: d = 144 songs downloaded
Answer:
c
Step-by-step explanation:
24×12=288 songs downloaded
this is because you have to do opposite operations according to one of the operations of math
An equation that represents the given situation is d/12 =24, and the number of songs Oliver has downloaded is 288. So, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, the number of songs Oliver has downloaded this year, divided by 12, is equal to 24.
Let the number of songs downloaded be d.
So, the equation is d/12 =24
d=288
The equation to represent the scenario is d/12 =24. Therefore, option C is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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Given that 1 inch =2.54 how many centimeters are in 8 feet
Answer:
243.84 cm
Step-by-step explanation:
8 feet = 96 inches
96 inches x 2.54 in/cm = 243.84 cm
Can someone help me with this PLZ
Answer:
6 and 8
Step-by-step explanation:
Answer:
6 and 8
Step-by-step explanation:
Q1: 6 and 8
Q2: 8 and 12
Q3: 12 and 15
Q4: 15 and 20
Brainlist Pls!
Can Someone Help me, pls?
Answer:
6.25 <7
Step-by-step explanation:
Answer:
(1) [tex]x\leq 4[/tex]
(2) [tex]x\geq 4[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}x + 6\leq 7\\(4) \frac{1}{4}x + 6\leq 7(4)\\x+24\leq 28\\ - 24 -24\\x\leq 4[/tex] [tex]-5x-24\leq -44\\+24 +24\\-5x\leq -20\\\frac{-5x\leq -20}{-5} \\x\geq 4[/tex]
find the value of x in this screenshot
Answer:
X=24
Step-by-step explanation:
3x+5+2x-4+2x+11=180
7x+12=180
7x=180-12
7x=168
7x/7=168/7
x=24
Please help I’ll mark brainliest
Answer:
-2-24i
Step-by-step explanation:
vector addition
let x be the value without the vector I
x+7+5=10
x=10-12
x=-2
let y be the value with the vector I
y-3+9+13= -5
y +19= -5
y= -24
what is the input of arccos
Answer:
It returns the angle whose cosine is a given number.
Step-by-step explanation:
For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arccos button may be labeled arccos, or sometimes cos-1.) So the inverse of cos is arccos etc. When we see "arccos x", we understand it as "the angle whose cosine is x"
cos30 = 0.866 Means: The cosine of 30 degrees is 0.866
arccos 0.866 = 30 Means: The angle whose cosine is 0.866 is 30 degrees.
Use arccos when you know the cosine of an angle and want to know the actual angle.
what is 10c + 20 = 40 C =
Answer: c = 2
Step-by-step explanation:
First you write out your equation: 10c + 20 = 40
Next, since the equation is adding, you can subtract 20 the constant on both sides of the equation:
10c + 20 = 40
- 20 - 20
The 20s cancel each other out and 40 - 20 is 20.
Our new equation looks like: 10c = 20
Now to find the value of C you are going to divide 10 on both sides because the equation is multiplying.
10c divided by 10 is just c and 20 divided by 10 is 2.
Therefore, you are left with c = 2
hope this helps have a nice day :)
Help! Quickly!
I beg thy to help.
Answer:
I think that B is the correct answer , 353.3 ft2 .
Good luck ^^
plz help me 2 plz 2 plz 2
Step-by-step explanation:
P(-4,7)
Q(-1,-1)
R(-8,-1)
I need help fast not not like serious help me
Answer:
D
Step-by-step explanation:
hope it helps .
sorry about the pic , kinda hard to get the whole
Anne surveyed the 12 slowest runners in PE, class about their favorite sports,
Is this sample of the students in the PE, class likely to be biased?
Can you solve the inequalities 9.50(70+x)≥1000
Answer: x_>(70+x_>)1000
Step-by-step explanation:
Answer:
35.26315789
Step-by-step explanation:
Question: 9.5(70+x)≥1000
70+x≥1000/9.5
(divide by 9.5 into both sides)
70+x≥105.2631579
x≥105.2631579-70
(minus 70 into both sides)
x≥670/19
x≥35.26315789