B
Diagram NOT
accurately drawn
2
489
D
E
A, Band D are points on a circle, centre O.
CDE is a tangent to the circle.
Angle ADO = 48°
Work out the size of angle ABD.
(4 marks)


please help asap ill give brainliest

Answer:

[tex]5(x + 10)(10x - 3)[/tex]

Step-by-step explanation:

We are factoring

[tex]50x^{2} + 485x - 150[/tex]

So:

((2•5^2x^2) +  485x) -  150

Pull like factors :

50x^2 + 485x - 150  =   5 • (10x^2 + 97x - 30)

Factor

 10x^2 + 97x - 30

Step-1: Multiply the coefficient of the first term by the constant   10 • -30 = -300

Step-2: Find two factors of  -300  whose sum equals the coefficient of the middle term, which is 97.

-300    +    1    =    -299

     -150    +    2    =    -148

     -100    +    3    =    -97

     -75    +    4    =    -71

     -60    +    5    =    -55

     -50    +    6    =    -44

     -30    +    10    =    -20

     -25    +    12    =    -13

     -20    +    15    =    -5

     -15    +    20    =    5

     -12    +    25    =    13

     -10    +    30    =    20

     -6    +    50    =    44

     -5    +    60    =    55

     -4    +    75    =    71

     -3    +    100    =    97

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  100

                    10x^2 - 3x + 100x - 30

Step-4: Add up the first 2 terms, pulling out like factors:

                   x • (10x-3)

             Add up the last 2 terms, pulling out common factors:

                   10 • (10x-3)

Step-5: Add up the four terms of step 4:

                   (x+10)  •  (10x-3)

            Which is the desired factorization

Thus your answer is

[tex]5(x + 10)(10x - 3)[/tex]

Answer:

[tex] \displaystyle \rm 5({x}^{} + 10)( 10x - 3)[/tex]

Step-by-step explanation:

we would like to factor out the following expression:

[tex] \displaystyle {50x}^{2} + 485x - 150[/tex]

notice that, in every term there's a common factor of 5 thus factor it out:

[tex] \displaystyle 5( {10x}^{2} + 97x - 30)[/tex]

now we have to rewrite the middle term as sum or substraction of two different terms in that case 100x-3x can be considered:

[tex] \displaystyle 5( {10x}^{2} + 100 - 3x - 30)[/tex]

factor out 10x:

[tex] \displaystyle 5( 10({x}^{2} + 10)- 3x - 30)[/tex]

factor out -3:

[tex] \displaystyle \rm 5( 10x({x}^{} + 10)- 3(x + 10))[/tex]

group:

[tex] \displaystyle \rm 5({x}^{} + 10)( 10x - 3)[/tex]

and we are done!

hence,

our answer is B)

Answer:

f = 2

Step-by-step explanation:

equate the log

therefore,

2f + 4 = 14 - 3f

collect like terms

2f + 3f = 14 - 4

5f = 10

divide through by 5

f = 10/5

f = 2

Answer:

Yes

Step-by-step explanation:

In any triangle, the sum of any two sides must be larger than the third side. To test this, we only actually need to pick the two shorter sides. In this case, the following inequality is true:

[tex]17+37>53,\\54>53,\\\text{True}\:\checkmark[/tex]

Answer: 13.5

Step-by-step explanation:

54/4 = 13.5

13.5 x 4 = 54

Answer:

carbon is heavier

Step-by-step explanation:

That's the difference right?

Oh and if you want an exact number, you can take the mass of carbon arom and subtract the mass of hydrogen atom

1.994×10^-23 - 1.67×10^-24= 19.94×10^-24 - 1.67×10^-24= 18.27x10^-24

Answer:

When the dimensions of the shape, such as radius, height, or length change, both surface area and volume also change. However, the volume of the object always changes more than the surface area for the same change in dimensions.

Answer: CAN U MARK BRAINLIST!!!!! You've probably already seen the basic method for graphing straight lines; namely, make a T-chart, plot some points, put your ruler against them, and draw the line. But the "nice" form of a straight line's equation (being the slope-intercept form, y = mx + b) can make graphing even simpler and faster.

Given two points (x1, y1) and (x2, y2), the formula for the slope of the straight line going through these two points is:

\small{ m = \dfrac{y_1 - y_2}{x_1 - x_2} }m=  

x  

1

​  

−x  

2

​  

y  

1

​  

−y  

2

​  

​  

MathHelp.com

Using Slope and Y-Intercept to Graph Lines on MathHelp.com

Slope-Intercept Form

...where the subscripts merely indicate that we have a "first" point (whose coordinates are subscripted with a "1") and a "second" point (whose coordinates are subscripted with a "2"); that is, the subscripts indicate nothing more than the fact that we have two points that we're working with. Note that which point we pick as the "first" point is irrelevant; if we pick the other point to be "first", the subtractions will be reversed, but we'll still get the exact same value for the slope:

\small{ m = \dfrac{y_2 - y_1}{x_2 - x_1} }m=  

x  

2

​  

−x  

1

​  

y  

2

​  

Answer:

Hello! answer: 17.6

Hope that helps!

Answer:Jonathan is incorrect.

Step-by-step explanation:A quadrilateral has 4 straight sides is a four sided shape which means 4 straight sides.The image you have showed me does not have 4 straight sides nor 4 edges nor 4 verticals.So Jonathan is incorrect.

Answer:

Ok

Explanation:

Answer:

a) 18.85 or 19

b) 84.82 or 85

Answer:

15/60 or 1/4, which is 25%

Step-by-step explanation:

Answer:

Option B, the y-intercept changes

Explanation:

This is because, the y-intercept is located on the y-axis, which is the vertical axis, moving the graph up and down would mean moving it vertically, therefore this would result in the change of the y-intercept.

Hope this helps!

Answer:

227222685 i cant tell if u want me to multiply them all or solve for X

Step-by-step explanation:

The answer is 227,222,685

Given:

The a box-and-whisker plot if a data set.

To find:

The percentage of data values that are less than 66.

Solution:

From the given box-and-whisker plot, it is clear that the number 66  is the highest value of the data set.

It means all the values of the data set are less than 66 and no value can be more than 66.

All value means 100%.

Therefore, 100% of data values are less than 66.

Answer:

yoi

Step-by-step explanation:

yoi

Answer:

Here we want to solve:

(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2

First, remember the two expansions:

(a + b)^2 = a^2 + 2*a*b + b^2

(a - b)^2 = a^2 - 2*a*b - b^2

Using these relations, we can expand:

(cos(A) + sin(A))^2 = cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2

( sin(A) - cos(A))^2 = sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2

Replacing that in our equation, we geT:

(cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2) + (sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2) = 2

We can simplify this to get:

2*cos(A)^2 + 2*sin(A)^2 + 2*cos(A)*sin(A) - 2*cos(A)*sin(A) = 2

2*cos(A)^2 + 2*sin(A)^2 = 2

We can take the 2 as a common factor to get:

2*cos(A)^2 + 2*sin(A)^2 = 2*( cos(A)^2 + sin(A)^2) = 2

Now we can divide both sides by 2:

2*( cos(A)^2 + sin(A)^2)/2 = 2/2

cos(A)^2 + sin(A)^2 = 1

And this is a trigonometric property that is true for any value of A.

So the equality:

(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2

is true for any real value of A.

Answer:

45m²

Step-by-step explanation:

=> Area = base × height

=> A = 5m × 9m

=> A = 45m²

Answer:

The first answer is correct.

Step-by-step explanation:

If we were to plot the numbers of the first one, we would see that they match up to the plot that is given.

Hope that this helps!

Answer:

Step-by-step explanation:

Answer:

In the passed I've used measurement cups, rulers, addition, subtration, and multiplication too.

Step-by-step explanation:

Stay Safe <3 =3 Can I maybe Get Brainliest?

Answer:

P maybe

Step-by-step explanation:

Answer:

well  its not c so...

Step-by-step explanation:

that'll leave you w 3 others to choose from. sorry.

The series diverges because it does not have a sum option, fourth is correct.

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums get closer and closer to a certain number.

We have an infinite series:

[tex]\rm \sum ^{\infty}_{n=1}\dfrac{3}{4}(2)^n[/tex]

[tex]\rm \sum ^{\infty}_{n=1}3(2)^{n-2}[/tex]

The above series is geometric series with first term 2 and the common ratio is 2.

Here 2>1

By the ratio test, the series is divergent.

Since the common ratio is greater than 1 the sum will be infinite.

Thus, the series diverges because it does not have a sum option, fourth is correct.

Learn more about the convergent of a series here:

brainly.com/question/15415793

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