Given:
AB is the diameter of a circle whose center is the point (4,-3).
Coordinates of A are (-1,5).
To find:
The measure of AB.
Solution:
Let point O(4,-3) be the center of the circle.
Then, OA is the radius of the circle.
We know that, diameter of a circle is twice of its radius.
So, [tex]AB=2(OA)[/tex] ...(i)
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, the distance between O and A is
[tex]OA=\sqrt{(-1-4)^2+(5-(-3))^2}[/tex]
[tex]OA=\sqrt{(-5)^2+(5+3)^2}[/tex]
[tex]OA=\sqrt{25+(8)^2}[/tex]
[tex]OA=\sqrt{25+64}[/tex]
[tex]OA=\sqrt{89}[/tex]
Now, using (i), we get
[tex]AB=2(OA)[/tex]
[tex]AB=2(\sqrt{89})[/tex]
[tex]AB=2\sqrt{89}[/tex]
Therefore, the measure of AB is [tex]2\sqrt{89}[/tex] units.
Given: m∠PRS = 2x + 12
m∠SRT = 6x + 8
∠PRS and ∠SRT are a linear pair
Prove: m∠PRS = 52
-make sure to include statements and reasonings like it shows in the screenshot
Answer:
See Below.
Step-by-step explanation:
1) Given:
[tex]\angle PRS\text{ and } \angle SRT \text{ are a linear pair.}[/tex]
2) Definition of Linear Pair:
[tex]m\angle PRS+m\angle SRT=180[/tex]
3) Given:
[tex]m\angle PRS=2x+12[/tex]
4) Given:
[tex]\displaystyle m\angle SRT=6x+8[/tex]
5) Substitution Property:
[tex](2x+12)+(6x+8)=180[/tex]
6) Combine Like Terms:
[tex]8x+20=180[/tex]
7) Subtraction Property of Equality (subtract 20 from both sides):
[tex]8x=160[/tex]
8) Division Properety of Equality (divide both sides by 8):
[tex]x=20[/tex]
9) Given (this step is optional. You don’t have to include this):
[tex]m\angle PRS=2x+12[/tex]
10) Substitution:
[tex]\displaystyle m\angle PRS=2(20)+12[/tex]
11) Multiplication:
[tex]m\angle PRS=40+12[/tex]
12) Addition:
[tex]m\angle PRS=52[/tex]
Answer:
sorry i dont realy understand that
Step-by-step explanation:
A scooter travels 30 feet in 2 seconds at a constant speed.
What is the speed of the scooter in feet per second?
Answer:
15
Step-by-step explanation:
Since it goes 30 in 2 seconds, we need to divide 30 and 2 and end up with 15.
To make sure our answer is correct we know that 15 is one second, so we can add 15+15= which will give us 30, and will also land at 2
Brainliest pls
The speed of the scooter is 15 feet per second.
To calculate the speed of the scooter in feet per second, you can use the formula:
Speed = Distance / Time
The distance traveled by the scooter is 30 feet, and the time taken is 2 seconds.
Plugging these values into the formula, we get:
Speed = 30 feet / 2 seconds
Speed = 15 feet/second
Therefore, the speed of the scooter is 15 feet per second.
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Games at the carnival cost $2.50 each. The prizes awarded to winners cost $135.00. How many games must be played to make at least $45?
Question 1 options:
71
71.5
72
72.5
I WILL GIVE BRAINLIST POINTS
Answer:
72
Step-by-step explanation:
I DIVIEDE 180 DIVIEDED BY $2.50=72
how do you solve for x when you have this problem below please explain !!
Answer:
The value of x is 16
Step-by-step explanation:
We can clearly see in the diagram that a transversal is intersecting two parallel lines.
When a transversal intersects two parallel lines, eight angles are formed.
The angles which are in the same position on same side of each line intersected by the transversal, are called corresponding angles.
Corresponding angles are congruent.
So,
Angle 6x+4° and 100° will be congruent or equal
[tex]6x+4 = 100\\6x =100-4\\6x = 96\\\frac{6x}{6} = \frac{96}{6}\\x = 16[/tex]
Hence,
The value of x is 16
Help me with these please
Answer:
A) SAS
Step-by-step explanation:
The picture gives us that two sides are congruent. We can see that an angle is congruent as well because they share a common point at their tip.
If we look at just the area of intersection, it looks like an X. Think of the X as two lines intersecting. Each side equals 180°, and because both triangles are made up of those sides, we can conclude that the angles are congruent as well.
Hope this helps!
The Ironman endurance race has a 2.4 miles swim. Javier can swim 0.5 miles in 20 minutes. If he can continue this pace, it will take him hours to finish the swim event.
Given :
The Ironman endurance race has a 2.4 miles swim.
Javier can swim 0.5 miles in 20 minutes.
To Find :
How much time in hours it takes to complete the race.
Solution :
Speed of Javier :
[tex]s=\dfrac{2.4}{\dfrac{20}{60}}\ mph\\\\s= 7.2\ mph[/tex]
Let, time taken to cover 2.4 miles is t .
So,
[tex]t = \dfrac{2.4}{7.2}\ hours\\\\t = 0.33\ hours[/tex]
Hence, this is the required solution.
find x
76° 6x-9 47°
This is not formatted correctly.
76 degrees and 47 degrees?
Find the values of the variables :)
Answer:
x = 6 , y = 4 , 2 units
Step-by-step explanation:
2y - 6 = y - 2 ⇒ y = 4
3x - 16 = y - 2
3x - 16 = 4 - 2
3x = 18 ⇒ x = 6
Length of sides of square is 2 units
4 - 0.34
show your work
Answer:
5
Step-by-step explanation:
1pt. A roller coaster car is released from a standing start at the top of a 20.0-m hill. The car rolls down the hill to a point 10.0 m
above the ground, then up a second hill to 15.0 m, and then down again to point X at 8.00 m above the ground. Use what
you know about the sum of the kinetic and potential energies to find the car's speed at X.
A. 11.7 m/s
B. 12.5 m/s
• C. 15.3 m/s
D. 19.8 m/s
who can help me get 2 brinliest
Answer:
b 12.5
Step-by-step explanation:
-20 with 10 then -8
love you josh
The graph shows the relationship between the time (in seconds) and number of gallons of water in a sink. The sink starts out with 8 gallons and drains at a constant rate of 35 gallons per second.
Which function represents the situation?
A f(x) = 3/5x+8
B f(x)= 3/5x-8
C f(x)= -3/5x+8
D f(x)= -3/5x-8
70 percent is c.f(x)=-3/5x+8
Divide using partial products 52/5 =
Answer:
um.. ok the answer is 10 remainder 2
Step-by-step explanation:
5 goes into 52
10 times
Answer:
10.4
Step-by-step explanation:
2. In the linear equation y = -3x + 2, the value
(-3) represents which of the following?
a. the slope of the
line
b. the y-coordinate
of the y-intercept
c. the x-coordinate
of the y-intercept
d. the quadrant in
which the line lies
Answer:
C
Step-by-step explanation:
In the form y=mx+x, m is the x coordinate of the y intercept.
whats 1 and 3/4 times 4 and 1/6?
Answer
7 7/24
Step-by-step explanation:
[1/2]^-1 +[1/3]^-1 +[1/4]^-1
is equal to
Answer:
9
Step-by-step explanation:
[1/2]^-1 +[1/3]^-1 +[1/4]^-1=9
You need to simplify the expression.
You end up with the answer: 9
Carmen was scuba diving 115 feet below the surface of the ocean. She swam up 20 feet to
look at a colorful school of fish.
What is Carmen's position now relative to the surface of the ocean?
feet
Answer:
-115+20= -95 so, carmen is scuba diving 95 feet below surface level
Step-by-step explanation:
below surface level means negative
Answer:
The answer: - 95 DON'T FORGET THE NEGATIVE SIGN!
Step-by-step explanation:
ax = 2x + 5
please explain
Answer: -1.5x
Step-by-step explanation: Um, I think your explanation would be to subtract 5 on both sides which would be -3, and then divide by two on both sides which equals -1.5, and -1.5 equals A, and the final answer is -1.5x.
Hope it helps!!!!
Please help.
Math - geometric
Answer:
FIRST option
Step-by-step explanation:
mark me brainlist btw help my sum plsss
what is the answer to 4(x + 1) = 4x + 10
Answer:
No solution
Step-by-step explanation:
First we would have to see if anything has to be distributed and yes the 4 in the expression 4(x + 1) has to be distributed to the x and 1. So we would multiply the 4 by x and 1. Now we have 4x + 4 = 4x + 10. We have to get the x's on 1 side of the equation so we would do the inverse of one of the x's and we can only subtract. So we can subtract 4x on both sides. So now we have
4 = 10. That isn't a correct statement so there is no solution.
4 does not equal 10.
Someone please help me to solve this (8.99 x 10^9) (3 x 10^-5) (-6 x 10^-5)
Evaluate the expression w² - v + 1 for w = -2 and v = -8.
Answer:
13
Step-by-step explanation:
-2(-2) - (-8) + 1
4 + 8 + 1 = 13
Answer:
13
Step-by-step explanation:
cause i did it and it was right
Which expression is equal to 5 6 (6 is an exponent).
6x5
36x6x6x6
25x5x5x5
125x125
Answer: 125x125
Step-by-step explanation:
a typical car releases 36 tons of carbon dioxide and six years at a constant rate how many times will a car release in 10 years ?
Answer:
60 Tons
Step-by-step explanation:
36 divided by 6 equals 6. So that six is used for the for extra years
36+6+6+6+6
The number of tonnes of carbon dioxide released in 10 years will be 60 tonnes.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
A typical car releases 36 tonnes of carbon dioxide and six years.
Let 'x' be the amount of carbon dioxide.
At a constant rate, the number of tonnes of carbon dioxide released in 10 years will be given as,
x / 10 = 36 / 6
Simplify the equation, then we have
x / 10 = 36 / 6
x / 10 = 6
x = 60 tons
The number of tonnes of carbon dioxide released in 10 years will be 60 tonnes.
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m(t) =
t2-8t-20/
t+5
m(5) =
a. 8.5
b. -8.5
C. 3.5
d. -3.5
Answer:
d. -3.5Step-by-step explanation:
[tex]m(t)=\dfrac{t^2-8t-20}{t+5}\\\\m(5)-\text{substitute}\ m=5:\\\\m(5)=\dfrac{5^2-8\cdot5-20}{5+5}=\dfrac{25-40-20}{10}=\dfrac{-35}{10}=-3.5[/tex]
I need help on this problem
Answer:
y² - 2y - 4x + 9 = 0 (*)
a = 1 b = -2 c = -4x + 9
Δ = b² - 4ac = 4 - 4(9 - 4x) = 4 - 36 + 16x = 16x - 32
if (*) have the solutions => Δ ≥ 0
⇔ 16x - 32 ≥ 0 ⇔ x ≥ 2
with x ≥ 2 => y = [tex]\frac{2+\sqrt{16x-32} }{2}=\frac{2+4\sqrt{x-2} }{2}=1+2\sqrt{x-2}[/tex]
or y = [tex]1-2\sqrt{x-2}[/tex]
Step-by-step explanation:
675 grams of sweets were distributed among 9 children. How much sweet was given to each child?
Answer:
75 Sweets
Step-by-step explanation:
To get the answer you have to divide the number of sweets by the number of children. If there are 675 grams and 9 children, then you divide 675/9 to get your answer of 75 sweets.
Each child was given 75 grams of sweets as per linear equation when distributed.
What is a linear equation?A linear equation is an equation where the highest degree of the variable is one.
Given, there are a total of 675 grams of sweets.
There are a total of 9 children among which the sweets is to be distributed equally.
Therefore, each children will get sweets of
(675 ÷ 9) grams
= 75 grams.
Therefore, each child will get 75 grams of sweets when it is distributed equally.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Consider functions f and g. Evaluate the function composition.
Step-by-step explanation:
(f.g)(_1)=f(6)
=8/6+2
=8/8
=1
The value of (f o g)(-1) is 1 if the function f(x) = 8/(x + 2) and g(x) = 4x² + 2 the answer is 1.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
Two functions:
f(x) = 8/(x + 2)
g(x) = 4x² + 2
g(-1) = 4(-1)² + 2
g(-1) = 4 + 2
g(-1) = 6
f(g(-1)) = 8/(x + 2)
f(g(-1)) = 8/(6 + 2)
f(g(-1)) = 8/8
f(g(-1)) = 1
Thus, the value of (f o g)(-1) is 1 if the function f(x) = 8/(x + 2) and g(x) = 4x² + 2 the answer is 1.
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You can just give an answer.
Find a rectangle so that its height is 1/5 of its width and its perimeter is 120.
Answer:
Step-by-step explanation: 50 x. 10
HELP FASTT!! Will give BRAINLIST
Simplify.
4to the third power x 4 to the fourth power
Over 4 to the ninth power
A) 4 to the 16th power
B) 4 to the 2nd power
C) 1 over 4 to the 2nd power
D) 1/4
Answer:
the answer to that is 1/4^2
D=
R=
Function?
Find the domain and range of each relation.
Answer:
Try to do it with mth way