Answer:
ya 5x is the right anwser
Here is a circle, centre O, and the tangent to the circle at the point (8,15)
Answer:
y = -8/15x + 289/15
Explanation:
Given a circle with a radius of 17, and a centre at the origin (0,0), to find a line tangent to the point (8,15), there are a list of methods we could use to solve this problem. Instead of using derivatives (used to find the slope or gradient of a function at a given point), we can use the inverse tangent (goes from output to input, instead of input to output, but the inputs will still act as a function, which means you can only get one input for each output, this will get you from the side proportion to the angle, instead of angle to side proportion) as we know that a line connecting the origin to the point is always perpendicular to that line which is tangent to it. We can just take the opposite reciprocal (because when two lines are perpendicular, they always have opposite reciprocal slopes) of that, and then trace that slope back to the y-axis to find the it's y-intercept.
An opposite reciprocal just means to take that number, flip it's numerator, and denominator, and then make it negative.
So let's just use basic algebra to find the line going through points (0,0), and (8,15).
Because the line goes through the origin, we already know the y intercept is 0, so all we need to do is find the slope.
So slope [m] = (y2-y1)/(x2-x1).
Where (x1,y1) is the first point, and (x2, y2) is the second point. so m = 15-0/8-0 = 15/8.
Know that we have the slope of the first line, the perpendicular line will go through the same point, and have an opposite reciprocal -n^-1.
So 15/8 → 8/15 → -8/15 [this is the slope of the tangent].
Now since we know a point, and a slope, we can backtrack to find its y-intercept.
We can use point slope form:
y – y1 = m(x – x1)
(x1,y1) is the point we know [(8,15)], m is the slope we know [-8/15], and (x,y) is the point we are looking for. Also don't forget, since we are looking for a y-intercept, set x to zero because a y-intercept of anything is when x = 0.
Since we are only looking for y
y – y1 = m(x – x1) will become y = m(-x1) + y1.
This is because -y1 will cancel out when you add both sides by y1, and when x is 0, x1 will remain by itself in the form -x1.
So y = m(-x1) + y1 → y = (-8/15)(-8) + (15) →
64/15 + 15 = 64/15 + 15×15/15 = (64 + 225) / 15 = 289/15 [this is the y-intercept of the tangent line]
Now that we know the slope, and y- intercept of the tangent line, we can write the following equation in slope intercept:
m = -8/15, b = 289/15 → y = mx + b →
y = -8/15x + 289/15.
Answer:
y = -8/15x + 289/15
I needddd helppppp pleaseee
Answer:
51°
Step-by-step explanation:
The ratio of black socks to white socks in the sock drawer is 1:4. There are 8 black socks. How many white socks are there?
Answer:
32
Step-by-step explanation:
a function of the form
Answer:
In The Function of Form, internationally acclaimed architect, Farshid Moussavi, provides a provocative critique of the historically opposing relationship between function and form to reveal the contradiction at the heart of modernism.
Step-by-step explanation:
Answer: A function of the form is a special relationship where each input has a single output like f(x)=x/2 its a function because of the input value
Step-by-step explanation:
a function can be solve this way
f(2)=1
f(16)=8
ect
hope this helps
A farm lets you pick 3 pints of raspberries for $12.00. Use any strategy you want to answer the questions below. 1. What is the cost per pint? 2. How many pints do you get per dollar? 3. At this rate, how many pints can you afford for $20.00? 4. At this rate, how much will 8 pints of raspberries cost?
Answer:
$4 per pint
1/4 pint per dollar
5 pints for $20
$32 for 8 pints
Step-by-step explanation:
12.00/3 = 4
$4 per pint
1/4 = 1/4
1/4 pint per $1
$20 / $4 = 5 pints
$4 * 8 = $32
Which graph represents a proportional relationship?
I need the answer please
Answer:
The first one
Step-by-step explanation:
On a graph, if the line starts at the origin, where the 0 is, which is the center in this case, it is proportional
On a table, if the numbers all the have the same rate of change, which is y/x, then it is proportional
How do you write an equation in standard form given the slope and one point in the graph? For example, slope = 9 and (-5, 2).
Answer:
Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Step-by-step explanation:
hope this helps
So I know someone just yelled at me after I tried to help them but I need help too
The family size bottle of sunscreen holds
12
1212 fluid ounces
(
fl oz
)
(fl oz)left parenthesis, start text, f, l, space, o, z, end text, right parenthesis of sunscreen. The regular bottle holds
75
%
75%75, percent less.
How many fewer fluid ounces does the regular bottle of sunscreen hold?
9514 1404 393
Answer:
9 oz less
Step-by-step explanation:
The difference is 75% of 12 oz, so is ...
0.75 · 12 oz = 9 oz
The regular bottle holds 9 ounces less.
6. Solve 2.6x + 2 > -12.5 and graph the solution on a number line.
Answer:
x>−5.576923
Step-by-step explanation:
2.6x+2>−12.5
Step 1: Subtract 2 from both sides.
2.6x+2−2>−12.5−2
2.6x>−14.5
Step 2: Divide both sides by 2.6.
2.6x
2.6
>
−14.5
2.6
x>−5.576923
What expressions are equivalent to 4^-2 times 7^-2.
choose two answers
a. (4 times 7)^-4
b. 1/28^2
c. 7^-2/4^2
d. (4 times 7)^4
for the first time in a few days and
Find the sum (8x + 2) + (–9x + 7).
Answer:
-x+9
Step-by-step explanation:
remove the parenthesis
combine like like terms
8x-9x=-x
2+7=9
Answer:
-x+9
Step-by-step explanation:
remove the parenthesis and combine the alike terms
Sally and her mom were making cookies to hand out to her neighbors for the holidays. Their first batch made 26 cookies, their second batch yielded 38 cookies, on the third batch the make 45 cookies, and for the last batch they were able to make 25 cookies. What is the mean?
Answer:
The mean number of cookies was 33.5
Step-by-step explanation:
Add the values of the terms and divide by the number of terms.
So...
26 + 38 + 45 + 25 = 134
134 ÷ 4 = 33.5
Pentru a culege nectar 45 de albine au vizitat, intr-o singura exeditie, unele 60 flori, iar altele 75 de flori . Stiing=d ca au vizitat imreuna 3120 de flori , sa se afle cate albine au vizitat cate 75 de flori.
For the function f(x)= 3x2 + 6x find f (2)
Answer:
48
Step-by-step explanation:
Answer:
f(2) = 3 * 2^2 + 6 * 2 = 3 * 4 + 12 = 24
Step-by-step explanation:
Add another ordered pair to this relation that would make it not a function anymore.(-3, -6), (-2, -1), (-1, 0), (0, 3), (1, 15) and _______
Answer:
( 2,30 )
Step-by-step explanation:
At a little-known vacation spot, taxi fares are a bargain. A 64-mile taxi ride
takes 72 minutes and costs $57.60. You want to find the cost of a 38-minute taxi ride. What unit price
do you need?
Answer:
The answer is 34.4
Step-by-step explanation:
Trust me it's correct
Pls mark me as brainliest
How do I rewrite this?
Answer: how would i rephrase this sentence
Step-by-step explanation:
A wire is in the shape of square of side 12cm. if the wire is rebent into a
rectangle of length 14cm, find its breadth. Which figure encloses more area
and by how much?
Answer:
Breadth = 10 cm.
Difference in area = 4 cm^2 ( the square encloses more area).
Step-by-step explanation:
The perimeter of the square = 4*12 = 48 cm.
If the length of the rectangle is 14 then
2*14 + 2b = 48 where b is the breadth.
28 + 2b = 48
2b = 20
b = 10 cm.
A square encloses more area than a rectangle for a given length of wire.
Area of the square = 12^2 = 144cm^2 and
area of the rectangle = 14*10 = 140 cm^2.
Oliver read for 450450450 minutes this month. His goal is to read for 10 percent more minutes next month.
If Oliver meets his goal, how many minutes will he read in all during the two months?
Answer:
94594945
Step-by-step explanation:
First we need 1105 of 450450450 we get this by multiply it by 1.10 we'll get 495495495 then we add that to his score of the first month to get 94594945
Answer: 945
Step-by-step explanation: since he is reading 10% MORE you would find the percentage of 450 PLUS 10%
110/100= 1.1
1.1 * 450= 495
495 + 450= 945
Hopefully this makes sense
Which triangles are congruent by AAS? Fill in the blank beside the triangles with yes or no.
Answer:
IM BOUT TO SOLVE
Step-by-step explanation:
Answer:
Step-by-step explanation:
what's 20×14 ?
[tex]20times 14[/tex]
what is it?
Answer:
280.
Step-by-step explanation:
You can just do basic math. 20, times 14. You can also use a multiplication table, look for 20, and count 14 times. (If the table goes up to 20.)
Fill in the blank. If 9/24 =3/x , then x is .
Answer:
X=8
Hope I helped
Answer:
8
Step-by-step explanation:
Write it out: [tex]\frac{9}{24} = \frac{3}{x}[/tex] Cross multiply, then divide: 3 × 24 = 72, 72 ÷ 9 = 8So, the blank is 8I hope this helps!
Can someone please help me?
Answer:
3.33×10^5 timesStep-by-step explanation:
Given
Mass of the Sun = 1.99×10^30Mass of the Earth = 5.97×10^24The mass of the Sun is greater than the mass of the Earth times:
1.99×10^30 / 5.97×10^24 =19.9×10^29 / 5.97×10^24 =19.9/5.97×10^(29 - 24) = 3.33×10^5Someone plzz help it’s urgent!!
Answer:
hope it helps..
Step-by-step explanation:
If this helped please comment..
What is the solution to 2x2+8x=x2-16? x=-4 x=-2 x=2 x=4
Answer:
2x+8x=x-16?
10x=x-16
9x=-16
x=-16/9?
Step-by-step explanation:
Answer:
X= -4 Or A on egde.
Step-by-step explanation:
I just took the test 2021
PLEASEEE HELPPPPP!!!! у
Test Scores in Relation to Homework
2.
100
How would you characterize the relationship
between the hours spent on homework and
the test scores? Explain.
90
80
70
60
Test Scores
50
3. Draw a line of best fit on the graph.
40
4.
30
Based on your line, what is the likely test
score of a student who does not study for
the test?
20
10
0
1
2
3
8
9
4 5 6 7
Hours of Homework
Answer:
2. The more hours spent doing homework the better the test scores.
3. Just draw a line that runs through (1,50) (2,55) (3,60) (4,65)
4. Dunno
Step-by-step explanation:
Answer:
Number 4 would be 45%
Step-by-step explanation:
HELP ASAP! Given f(x) = ax^2 + c, list each characteristic of the function.
What does a do?
What shifts the graph from going up to going down?
What does x^2 do?
What does c do?
What is the vertex?
What is the area of this rectangle? (area=length*width)
Step-by-step explanation:
we know that,
area of rectangle = length × breadthNow,
rectangle PQRS has it's
breadth = 3
length = 4+b
Then,
area of rectangle PQRS = (4+b) × 3
= 12 + 3b
Hence,
The area of rectangle is 12+3b.
In triangle FGH, is an angle bisector of and perpendicular to . In triangle F G H, angle F G H is cut by perpendicular bisector G J. The length of side F G is 3 x minus 8, the length of side G H is 16, the length of line segment F J is x. What is the length of ? 4 8 16 24
Answer:
its 16
i had this question on edge
Answer:
c
Step-by-step explanation:
Name the triangle congruent to ΔABC
ΔABC≅Δ
Answer:
QPR
Step-by-step explanation:
angle A=Q side AB=QP
B=P BC=PR
C=R CA=RQ