chứng minh đường thẳng a là tiếp tuyến của ( O,R) tại điểm C

Answer:

[tex]y=-\frac{1}{3}x -1[/tex]

Step-by-step explanation:

This is the Slope-intercept form

Answer:

112 in^2

Step-by-step explanation:

First find the area of the rectangle

A = l*w = 14*7 =98

Then find the area of the triangle

A = 1/2 bh = 1/2 (18-14) *7 = 1/2 (4)*7 = 14

Add the areas together

98+14 =112

Hello!

[tex]\large\boxed{A = 112in^2}[/tex]

We can use the formula for the area of a trapezoid to solve:

A = 1/2(b1 + b2) · h

Thus:

A = 1/2(18 + 14) · 7

Simplify:

A = 1/2(32) · 7

A = 16 · 7

A = 112 in²

Answer:

[tex]\boxed{\sf a = 9 }[/tex]

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

[tex]\sf\longrightarrow 3x - 2y +7=0 [/tex]

[tex]\sf\longrightarrow 6x +ay -18 = 0 [/tex]

Step 1 : Convert the equations in slope intercept form of the line .

[tex]\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}[/tex]

and ,

[tex]\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a} [/tex]

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

[tex]\sf\longrightarrow Slope_1 = \dfrac{3}{2} [/tex]

And the slope of the second line is ,

[tex]\sf\longrightarrow Slope_2 =\dfrac{-6}{a} [/tex]

Step 3: Multiply the slopes :-

[tex]\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1 [/tex]

Multiply ,

[tex]\sf\longrightarrow \dfrac{-9}{a}= -1[/tex]

Multiply both sides by a ,

[tex]\sf\longrightarrow (-1)a = -9 [/tex]

Divide both sides by -1 ,

[tex]\sf\longrightarrow \boxed{\blue{\sf a = 9 }} [/tex]

Hence the value of a is 9 .

Answer:

The way I would tackle these types of problems would be to make a table, then graph the points using the results I get.

Step-by-step explanation:

So explaining the table is kinda hard since I suck at explaining, so I've attached a file showing the table I've made for number 1.

First Step:

Make the table. Make it a 3x4 table. For the top row, put y, the equation (I put 'y=2x' as shown in number 1), then x. Then for the left column, go down by one box, then put: -1, 0, 1. Really, you can put any numbers, but to make it easy for yourself, just write the numbers I've listed. These will be your y-values you'll be substituting.

Second Step:

a.) Plugging in the numbers. For the middle column, I've put down y=2x in each box, as shown in my table. Then for each of those boxes, plug in the numbers to the left of them and substitute them for the y-value. For example, look at the second row. The left box has '-1', so I replaced the 'y' in the equation and got '(-1)=2x'.

b.) After substituting the y-values, solve for x. For this case, you'll need to divide both sides by 2. If it doesn't make much sense, think about a seesaw. If you have 5 pounds on both sides, the seesaw will stay balanced. Add an additional 5 pounds to one side, then the seesaw will start tipping towards the heavier sides. So in order to keep an equation balanced, you must do any action to both sides of the equation. After diving both sides by 2, you'll get the value for x.

Final Step:

After finding the x-values for each of the y-values, it's time to graph the equations. Remember, x is left to right and y is down to up. To graph them, let's use the second row for example. y=-1 and x=-0.5. So all you need to do is to start from the origin (0,0), then go half a unit to the left, as x is negative, then go a unit down, as y is negative, then make a point. The rest should be pretty straight forward.

After making all three points, just get a ruler or any straight edge, then align it along those three points, then just make a line, and boom! You've solved number 1! For the purpose of saving my time, I'm pretty sure you can solve the rest using what I've just told you. Good luck!

Answer:

Translate circle O 2 units to the left and 6 units down. Then dilated circle o by a scale factor of 4/5.

Step-by-step explanation:

Objective: Using transformations that are similar and congruent.

Answer:

by SAS only

Step-by-step explanation:

based on the diagram we only have one side and one angle explicitly identified as equivalent.

but we have an implicit confirmation of the second side QS to the enclosed angle, because the triangles are presented that this side is the same for both triangles.

so, SAS applies (but no other, as we don't have any information on the 3rd side).

Answer:

[tex]g(x) = -(10)^x[/tex]

Step-by-step explanation:

For a general function f(x), a reflection across the x-axis is written as:

g(x) = -f(x)

So, if here the function is:

[tex]f(x) = 10^x[/tex]

The reflection across the x-axis is:

[tex]g(x) = -f(x) = -(10)^x[/tex]

The correct option is the first one, counting from the top.

Answer:

50 miles

Step-by-step explanation:

There are 5 hours in between 10 AM and 3 PM.

Find how many miles she can go by multiplying 5 by 10, since she rides at 10 miles per hour:

5(10)

= 50

So, Natasha will ride 50 miles

Given:

The sequence is:

-3, 5, -7, 9, -11,...

To find:

The correct statement about the given sequence.

Solution:

We have,

-3, 5, -7, 9, -11,...

Here, "..." means there are more terms in the sequence. So, the sequence has more than 5 terms and option A is incorrect.

From the given sequence it is clear that the 4th term is 9. So, option B is correct.

Clearly, 5th terms is -11. So, [tex]f(5)=-11[/tex] and option C is incorrect.

The domain of a sequence is always the set of natural numbers. So, option D is correct.

In the given sequence the 4th term is 9. It means the point (4,9) lies on the graph of the sequence. So, option E is correct.

Therefore, the correct options are B, D, E.

Answer:

20 and 55

Step-by-step explanation:

You subtract 35 from 75 to remove the difference between the two numbers.

Then you divide 40 by 2 to get 20 as one of the numbers. Then you add 35 to one of the 20's to get 55.

Answer:

B

Step-by-step explanation:

We are given a cylinder with a height of (2x + 7) and a radius of (x - 3).

And we want to find the expression for the volume of the cylinder.

Recall that the volume of a cylinder is given by:

[tex]\displaystyle V = \pi r^2 h[/tex]

Where r is the radius and h is the height.

Substitute:

[tex]\displaystyle V = \pi(x-3)^2(2x+7)[/tex]

Expand. We can use the perfect square trinomial pattern:

[tex]\displaystyle V = \pi \left[\underbrace{(x^2-6x+9)}_{(a-b)^2=a^2-2ab+b^2}(2x+7)\right][/tex]

Distribute:

[tex]V=\pi \left[ 2x(x^2-6x+9)+7(x^2-6x+9)\right][/tex]

Distribute:

[tex]V = \pi \left[(2x^3-12x^2+18x)+(7x^2-42x+63)\right][/tex]

Rewrite:

[tex]V = \pi\left[(2x^3)+(-12x^2+7x^2)+(18x-42x)+(63)\right][/tex]

Combine like terms:

[tex]V = \pi (2x^3-5x^2-24x+63)[/tex]

Distribute:

[tex]V = 2\pi x^3-5\pi x^2 -24\pi x+63\pi[/tex]

Hence, our answer is B.

Answer:

Here is your answer

Hope it helps....

Answer:

r=8

Step-by-step explanation:

Step-by-step explanation:

the answer is in the image above

I hope it helps

Answer:

x-⅓y=0

Step-by-step explanation:

thats the answer

brainly please

Answer: 3x-y=0

Step-by-step explanation:

X = 1/3y

X × 3 = 1/3 y × 3

3x = y

3x - y = y- y

3x- y = 0

Answer:

20 miles

Step-by-step explanation:

10miles × 2 = 20miles

Answer:

15

Step-by-step explanation:

[tex]=\frac{6!}{4!\left(6-4\right)!}[/tex]

Answer:

Maybe you can add roles, like managing, or narrating?

Step-by-step explanation:

9ˣ × 16ˣ = (9 × 16)ˣ = 144ˣ = 12

Since 12² = 144, it follows that x = 1/2.

That is,

144ˣ = 12

(12²)ˣ = 12

12²ˣ = 12

log₁₂(12²ˣ) = log₁₂(12)

2x log₁₂(12) = log₁₂(12)

2x = 1

x = 1/2

Answer:

Rob has saved $24.

Step-by-step explanation:

The first thing I noticed was that Rob only saved some of the money he earned. That means only x% only gets saved. To find x, I simply divided 6 by 14 and got 0.42857142857. Then to find the amount he saved from earning $56, I multiplied that number with 56 and got 24.

Answer:

c. .01

Step-by-step explanation:

.6389 divided by 63.89

Answer:

second option 6×sqrt(3)

Step-by-step explanation:

without complicated calculating, y has to be bigger than 9 and smaller than 12 (9+3).

so, by just going through the answer options, there is only one answer that fits this criteria : the second option.

all other options are smaller than 9 and cannot be true.

Answer: the answer is 3311

Answer: 52 1/2

Step-by-step explanation: I just found the average of the numbers.

Answer:

Origin = (0, 0)

Gradient or slope:

[tex]{ \tt{slope = \frac{(0 - 3)}{(0 - ( - 2))} }} \\ { \tt{slope = - \frac{3}{2} }}[/tex]

General equation of line:

[tex]{ \bf{y = mx + c}}[/tex]

Consider the origin:

[tex]{ \tt{0 = ( - \frac{3}{2} \times 0) + c }} \\ c = 0[/tex]

Equation of line:

[tex]{ \tt{y = - \frac{3}{2}x }} \\ { \tt{2y = - 3x}}[/tex]

Answer:

-2y+3x=0

Step-by-step explanation:

Slop=(3-0)/(-2-0)=-3/2

(Y-Y1) =m(x-x1)

(y-3) =-3/2(x+2)

-2y+3x=0

Answer:

X=5or -2

Step-by-step explanation:

x²-3x-10=0

x²-(5-2)x-10=0

x²-5x+2x-10=0

x(x-5)+2(x-5)=0

(x-5)(x+2)=0

either Or

x-5=0 x+2=0

x=5 x=-2

Answer:

B.72°

Answer:

f(- 3) = 27 and g(6) = - 15

Step-by-step explanation:

Substitute x = - 3 into f(x) and x = 6 into g(x) , that is

f(- 3) = - 2(- 3)² - 3(- 3) = - 2(9) + 9 = 18 + 9 = 27

g(6) = - 2(6) - 3 = - 12 - 3 = - 15

Answer:

it would equal 24 I think that's what it would be

Answer:

Step-by-step explanation:

A=4πr2=4·π·1002≈1.25664×105

Answer:

Step-by-step explanation:

tan Ф = opposite /  adjacent

Ф = arctan ( 2 / 6)

Ф = 18.4349°   ( this is the angle opposite of the one wanted, or ∠C)

then

180 = 90+ 18.4349° +∠A

71.565 = ∠A