P (8,4) is a point on a circle, centre O.
The tangent at P intersects the axes at points A and B.
a) Find the gradient, m, of the tangent.
Answer:g
Step-by-step explanation:
The required slope of the tangent is given as m = -2.
Given that,
P (8,4) is a point on a circle, center O, The tangent at P intersects the axes at points A and B.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the tangent m = -1 / [slope of the radius OP]
The Slope of the tangent m = -1 / [[4 - 0]/ [8 - 0]]
The slope of the tangent m = -1 / [1 /2 ]
The slope of the tangent m = - 2
Thus, the required slope of the tangent is given as m = -2.
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can you please help me with this one
Answer:
6x=-60
Step-by-step explanation:
On a certain hot summer's day, 218 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $349.75.
How many children and how many adults swam at the public pool that day?
Answer:
We call x the number of children and y the number of adults
We have system of equations
x + y = 218 (1)
1.25x + 2y = 349.75 (2)
(1) => x = 218 - y. Replace x in (2) 1.25 (218-y) + 2y = 349.75
=> y = 103 replace y in (1) x = 218-103 = 115
Children and how many adults swam at the public pool that day is : 115 and 103
Step-by-step explanation:
I started cutting myself because school, I cut myself even more because my parents get me in trouble because self harm. What should I do?
Answer:
For some people, when depression and anxiety lead to a tornado of emotions, they turn to self-harm looking for a release. Self-harm and self-injury are any forms of hurting oneself on purpose. Usually ..
just do number 3 quick please
Answer:
Step-by-step explanation:
Sin A = [tex]\frac{opposite side}{hypotenuse}=\frac{5}{13}\\\\[/tex]
Cos A = [tex]\frac{Adjacent side}{hypotenuse}=\frac{12}{13}[/tex]
Tan A = [tex]\frac{opposite side}{adjacent side}=\frac{5}{12}[/tex]
A = tan⁻¹ (5/12) = 22.61°
Answer:
Step-by-step explanation:
a) Sin A = opposite/hypothenuse
Sin A = 5/13 ≈ 0.3846..
b) Cos A = adjacent/hypothenus
Cos A = 12/13 ≈ 0.9230..
c) Tan A = opposite/adjacent
Tan A = 5/12 ≈ 0.4166..
d) we will use the inverse Sine function
< A = sin^-1(5/13)
< A = sin^-1(0.3846) ≈ 22.62°
P.S. You can use any of the three inverse functions to find the angle: sin^-1 | cos^-1 | tan^-1
Easy consumer math. Please help.
Let the equation C= 2.32 N + 34,180 represent the cost (C) of raising a child to 18 years of age, on an income (N). If the cost is $120,000, what is the income?
Which parent function is represented by the graph?
10-
+ 10
10-
A. An exponential parent function
B. Absolute value parent function
C. Quadratic parent function
Answer:
absolute value parent function
The correct parent function which is represented by the graph is,
⇒ Absolute value parent function.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of function shown in image.
Now, We have;
The function of the graph is,
⇒ y = |x|
Hence, It is an Absolute value parent function.
Thus, The correct parent function which is represented by the graph is,
⇒ Absolute value parent function.
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if 50g of tomato serves 2 people how kilograms of tomato will be needed to serve 5 people with method
The volume of a mini-basketball is approximately 4846.59 cubic centimeters. What is the approximate radius of a mini-basketball?
A
10.5 cm
B
11.5 cm
C
21 cm
D
23 cm
Answer:
A
Step-by-step explanation:
4/3 pi r3= 4846.59*3/4/pi=1157.625
so r3= 1157.625
so taking cube root on both sides we get
10.5 which is A
if my answer helps please mark as brainliest.
what’s the answer, and how do I find it step-by-step?
Answer: 16p^8q^4r^8 The yellow one
Step-by-step explanation:
Step 1: Use Multiplication Distributive Property: (xy)^a = x^a y^a. So 4^2p^2(q^3)(r^4)^2
Step 2: Simplify 4^2 to 16. So 16p^2(q^3)^2(r^4)^2
Step 3: Use Power Rule: (x^a)^b=x^ab. So 16p^2q^6(r^4)^2
Step 4: Use Power Rule: (x^a)^b=x^ab. So the answer is 16p^2q^6r^8. The yellow one
helllllllllllllllllllllllllllppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
285cm2
Step-by-step explanation:
1/2 x b x h
1/2 x 38 x 15
= 285
Question:
Area = 1/2 * base * height
= 1/2 * ____ * ____
= ____ cm²
_________________________________________________
Solution:
Area = 1/2 * base * height
= 1/2 * 38 cm * 15 cm
= 285 cm²
what is the mad of this data set? 3,6,6,8,11,15,16
Answer:
4.0408163265306
Step-by-step explanation:
what is the value of y?
Answer:
the answer to that is 4 hope it help
Answer:
y = 8
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{y}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
y = 8
what is 5 over 3 can be best described as ?
What is the answer to 153÷1/4=?
Write answer as a fraction
Answer:
612 /1 or 6120/10
Step-by-step explanation:
factor the numerator and denominator and cancel common factors
Answer:
612 there is no fraction solution.....well i dont think so...
Step-by-step explanation:
convert 1/4 into a decimal: 1/4 = .25
DIVIDE
153 / .25 = 612
ANSWER
612
if there was a fraction solution it'll probably be 2448/4 = 612
2448/4 would be the fraction solution...
What is the area of this figure?
Answer:
Im not going to give you the answer but try this by your self.
Step-by-step explanation:
To figure out the area multiply each side together. To find the perimiter add all the sides.
Answer:
671
Step-by-step explanation:
16 × 9 = 144
13 + 16 = 29
29 × 9 = 261
9 + 29 = 38
38 × 7 = 266
266 + 261 + 144 = 671
SOLVE THESE TWO FOR BRAINLY PLSSSS!!!!!!!!
Answer: 1) D
2) A
Step-by-step explanation: plz mark me brainliest
Answer:
1) C) 2) B)
Step-by-step explanation:
First one is just times them together get 12root(a^2b^2) = 12ab.
Second question, you use equation 1 to minus equation 2 get 2x = 6, then x = 3, then substitute it into either equation, for example the first one get -7*3 + 5y = 24, then solve for y, can get y = 9, so B) is correct answer.
If it is helpful, plz give me Brainliest.
circle centered at the origin has a radius of 5 units. The terminal side of an angle, θ, intercepts the circle in Quadrant IV at point C. The x-coordinate of point C is 3. What is the value of sin θ?
Answer:
Step-by-step explanation:
x²+y² = 5²
3²+y² = 25
y² = 16
y = ±√16 = ±4
Since the terminal side is in quadrant IV, y = -4
sinθ = -4/5
The coordinates below represent a triangle that was dilated. J(-3, -12) -->
J'(-1,-4); K(-6, -15) K'(-2,-5); L(-9, -12) --> L'(-3,-4). What was the scale
factor that was used in the dilation? *
1 point
02
1/3
2/3
Option 4
Which is the correct algebraic representation of the transformation
1 point
Answer:
1/3 is the dialation
Step-by-step explanation:
Algebraic representation is (x, y) → (kx, ky), and it is by 1/3 because -3 is 1/3 of -9 and -4 is 1/3 of -12.
Which function is represented by the graph?
A)f(x) = 2x + 6
B)f(x) = -2x + 6
C)f(x) = 1/2x + 6
D)f(x) = -1/2x + 6
Answer:
It is (D)
[tex]f(x) = \frac{ - 1}{2} x + 6[/tex]
Step-by-step explanation:
I hope that is useful for you
PLZ HELP!! I'm really stuck
>n
I Need Help! ASAP
Part A. Johnny translated ABCD 3 units to the right and 4 units up to a new position, EFGH. Draw and label EFGH.
Part b. Tom rotated ABCD to a new position, IJKL, 90º clockwise about the origin, O. Draw and label IJKL.
Part c. Tony placed a smaller car, represented as MNOP, on the coordinate plane. MNOP is a dilation of ABCD with its center at the origin and a scale factor of -0.5. Draw and label MNOP.
Work out the surface area of this solid prism.
8m
x 5m
3m
4m
The diagram is not drawn to scale.
unit: m2
Answer:108
Step-by-step explanation:
If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the probability that the Islanders will win at least five out of six games in a series against the Rangers? Round your answer to the nearest thousandth.
ANSWER IS 0.737
A radio disc jockey has 8 songs on this upcoming hour's playlist: 2 are rock songs, 4 are reggae songs, and 2 are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that both songs are reggae songs? Write your answer as a fraction in simplest form.
Answer:
[tex] \displaystyle \frac{1}{28} [/tex]
Step-by-step explanation:
we are given 8 songs
2 are rock. 4 are reggae, 2 are country
we want to figure out the probability of getting both reggae songs
notice that, they aren't replacing thus it's an independent probability
recall that,
[tex] \displaystyle \rm P(A \: \text{and} \: B) = P(A) \times P(B \mid A)[/tex]
P(A) represents the chance of getting our subject first time and P(B|A) represents the chance of getting the same subject second time
let's figure out P(A)
we have 2 reggae songs
and total 8 songs
therefore
[tex] \displaystyle\rm P(A) = \frac{2}{8} = \frac{1}{4} [/tex]
let's figure out P(B|A)
since we took a reggae song before now we have only a reggae song
and total 8-1=7
therefore
[tex] \displaystyle \rm P(B\mid A) = \frac{1}{7} [/tex]
Altogether
[tex] \displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{4} \times \frac{1}{7} [/tex]
simplify multiplication:
[tex] \displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{28} [/tex]
And we are done!
Help asap plss i will give you brainliest
Answer:
A. -80x + 24
Step-by-step explanation:
- 8( 10x - 3 )
- 8( 10x )
= - 80x
- 8 ( - 3 )
= 24
- 80x + 24
Remember, when you multiply a negative number with another negative number it will become positive
Hope this helps dude
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
6ft
Step-by-step explanation:
The bike store marks up the wholesale cost of all of
the bikes they sell by 30%. Remember from the last
slide that the bike is listed for $125.
b) If the bike is discounted by 20%, how much will
Andre pay (before tax)?
Answer:
$100.00
Step-by-step explanation:
%20 off of $125 is $100 dollars
WILL GIVE BRAINLIEST!
Given that ℓ1∥ℓ2 and the measure of ∠c = 44°, find the measures of angles a and b.
m∠a =
°
m∠b =
°
3
4Xα =αX 4 what rule is being used in each in of these equations :commutative,associative or distributive
Answer:
commutative property........