Find the area of the figure.EXPlAIN THE STEPS!!!!

Answer:

(a)  3, 2, -3, -7, -12, -18, -25, -33 etc.

(b)  -44, -12, -4, 4, 12, 44

Step-by-step explanation:

Integer: whole numbers (including negatives)

To factor a quadratic in the form [tex]ax^2+bx+c[/tex]

Question (a)

Given quadratic:  [tex]kx^2+5x+2[/tex]

[tex]\implies a=k, b=5\: \textsf{and}\:c=2[/tex]

You don't have to do this, but it is helpful to first find the range of k.  To do this, use the discriminant [tex]b^2-4ac[/tex].

If the quadratic has 2 real roots then [tex]b^2-4ac > 0[/tex]

If the quadratic has 1 real root then [tex]b^2-4ac = 0[/tex]

Therefore, set the discriminant to ≥ 0

[tex]\implies 5^2-4(k)(2)\geq 0[/tex]

[tex]\implies 25-8k\geq 0[/tex]

[tex]\implies -8k\geq -25[/tex]

[tex]\implies 8k\leq 25[/tex]

[tex]\implies k\leq 3.125[/tex]

As k is an integer, [tex]k\leq 3[/tex]

Given quadratic:  [tex]kx^2+5x+2[/tex]

[tex]\implies ac=k \cdot 2=2k[/tex]

[tex]\implies d+e=5[/tex]

So we need to find pairs of numbers that sum to 5 and multiply to a (negative or positive) even number, since [tex]ac=2k[/tex]

2 + 3 = 5  and  2 · 3 = 6   ⇒  2k = 6 ⇒ k = 3

1 + 4 = 5  and  1 · 4 = 4  ⇒  2k = 4 ⇒ k = 2

-1 + 6 = 5  and  -1 · 6 = -6   ⇒  2k = -6 ⇒ k = -3

-2 + 7 = 5  and  -2 · 7 = -14   ⇒  2k = -14 ⇒ k = -7

-3 + 8 = 5  and  -3 · 8 = -24  ⇒  2k = -24 ⇒ k = -12

-4 + 9 = 5  and  -4 · 9 = -36  ⇒  2k = -36 ⇒ k = -18

-5 + 10 = 5  and  -5 · 10 = -50  ⇒  2k = -50 ⇒ k = -25

-6 + 11 = 5  and  -6 · 11 = -66  ⇒  2k = -66 ⇒ k = -33

etc.

Therefore, possible values of k are:

3, 2, -3, -7, -12, -18, -25, -33 etc.

-------------------------------------------------------------------------------------------

Question (b)

Given quadratic:  [tex]9x^2+kx-5[/tex]

[tex]\implies a=9, b=k\: \textsf{and}\:c=-5[/tex]

[tex]\implies ac=9 \cdot -5=-45[/tex]

Find factors of -45:

As [tex]a+c=k[/tex]:

Therefore, all possible values of k are  -44, -12, -4, 4, 12, 44

Answer:

Top Middle in the top column, rest bottom i think

Step-by-step explanation:

She sold 3 1/4 pie in the entire day, srry if i'm wrong friend.

Answer:

A quadratic function whose zeros are 2 and 7 is f(x) = x^2 - 9x + 14

If the zeros of a quadratic function are a and b, the quadratic function will be given as:

f(x)  =  (x  -  a)(x  -  b)

For the function f(x) whose zeros are 2 and 7:

f(x)  =  (x  -  2)(x  -  7)

Expand the equation

f(x)= x^2 - 7x - 2x + 14

f(x) = x^2 - 9x + 14

Therefore, a quadratic function whose zeros are 2 and 7 is

f(x) = x^2 - 9x + 14

Answer:

ledsen jag vet inte din fråga väldigt ledsen vara vän med dig

Answer:

[tex]D)~~ 5a^2 +20a -5a -5[/tex]

Step-by-step explanation:

[tex]5a^2 +20a -5a -5 = 5a^2 +15a -5[/tex]

Answer:

D

Step-by-step explanation:

5a2 is same, -5 is same and 20a - 5a is same as 15a

Answer: As a result, the angle between m and n is 45 degrees.

Answer:

Step-by-step explanation:

7.52 is greater than 7.5 because 7.52 has 2 hundredths more value as 7.5 is only 7.50.

x(2x - 3) > 30

hope it helps...!!!

Answer:

  25 = c

Step-by-step explanation:

You had a good start on filling in the values in the Pythagorean Theorem. The work needed to be finished.

  [tex]a^2 +b^2 = c^2\\\\20^2 +15^2=c^2\\\\400+225=c^2\\\\625=c^2\\\\\sqrt{625}=\sqrt{c^2}\\\\\boxed{25=c}[/tex]

The area of the composite figure involving rectangle and trapezium is 810.5cm².

The area can be found by adding the area of the rectangle and trapezium. This goes thus:

Area of rectangle = Length × Width = 15 × 23 = 345cm²

Area of trapezium = 1/2(a + b)h

= 1/2(15 + 34) × 19

= 1/2 × 49 × 19

= 465.5cm²

The area will now be:

= 345cm² + 465.5cm²

= 810.5cm²

Learn more about area on:

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Answer:

Step-by-step explanation:

x^2 + 3

The domain is All Real x and the range is f(x) ≥ 3.

Find its inverse:

y = x^2 + 3

x^2 = y - 3

x = √(y - 3)

So f-1(x) = √(x - 3)

The domain is x  ≥ 3  and range is f(x) ≥ 0.

Answer:

The answer is 198cm3.

Step-by-step explanation:

Since the radius is 3 and the height is 7, use V=πr^2h

V=πr^2h=π·3^2·7=197.92034

round to the nearest whole and it gives you 198cm3

Answer:

C

Step-by-step explanation:

198 cm3

HOPE I WAS ABLE TO HELP!

Answer:

Good credit will give you a better career.

Answer:

The median, which is 90%.

Step-by-step explanation:

Mean: sum of (81, 87, 93, 89, 61, 81) / 6 = 82%

Median: Middle number from lowest to highest. Between 87 and 93 so its (87+93)/2 = 90%

Mode: Number that occured most often, 81%

Answer:

#1 B  inferential

#2 A descriptive

Step-by-step explanation:

Hope this helps!

Answer:

The triangles are similar.

Step-by-step explanation:

The reason for this is because they both share two pairs of angles that are the same: 40 degrees and 60 degrees. If these are equal, then that must mean the third angle for both triangles is also the same, making both triangles equal in proportion. Therefore, they must be similar.

Answer:

Yes

Step-by-step explanation:

(i) By AA similarity

(ii) By SSS similarity

The standard formula of the ellipse with center (2, 0), a major axis of length 12 and endpoint of minor axis (5, 0) described in the statement is (x-2)²/9 + y²/36 = 1.

The ellipse is a kind of conic whose formula in standard form is shown below:

(x-h)²/b²+(y-k)²/a² = 1     (1)

Where:

In this question we are supposed to construct the standard equation the ellipse by replacing all the variables. If we know that b = 3, a = 6, h = 2 and k = 0, then the standard equation of the ellipse is:

(x-2)²/9 + y²/36 = 1     (2)

To learn more on ellipses, we kindly invite to check this verified question: https://brainly.com/question/19507943

[tex]sum\ or\ interior\ angles[/tex]

[tex]ol\ pentagon\ is\ 540\textdegree.[/tex]

[tex]Given\ of\ Pentagon[/tex]

[tex]To\ hind\ o\ sum\ of\ Interiur\ angle\ of[/tex]

[tex]pentagon.[/tex]

[tex]solutiono[/tex]

[tex]sum\ of\ the\ interior[/tex][tex]angler\ of\ a\ pentajon[/tex]

[tex]can\ be\ round\ by\ 1\ st[/tex]

[tex]dividing\ it\ into\ triangler[/tex]

[tex]from\ 1\ verter.[/tex]

[tex]\therefore\ There\ are\ 3\ Triangles\ made.[/tex]

[tex]sum\ of\ interiar\ angler\ or\ Triangles\ is[/tex]

[tex]180\textdegree.\ Tmere\ are\ 3\ Triangles.[/tex]

[tex]\therefore \ \ \ \ \ 180\times 3=540\textdegree.[/tex]

[tex]Hence\ sum\ ot\ interior\ angles[/tex]

[tex]ol\ pentagon\ is\ 540\textdegree.[/tex]

I hope this helps you

:)

Answer:

10, 5.

Step-by-step explanation:

The differences are -10, -9, -8, -7,

so the next 2 terms are 16-6 and 10 - 5

= 10, 5

Answer:

x = 96

Step-by-step explanation:

5 = 8

__ __

60 x

*do cross multiply

5x = 8x60

5x = 480

x = 480/5

x = 96

Answer:

Answer c is the correct one

The absolute value parent function is typically denoted as f(x) = |x|.

None of the given options matches the absolute value parent function.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The absolute value parent function is typically denoted as f(x) = |x|. Therefore, none of the given options matches the absolute value parent function exactly.

f(x) = [x], represents the greatest integer function, also known as the floor function, which returns the largest integer less than or equal to x.

f(x) = 1/x, is a rational function, which has a horizontal asymptote at y=0 and a vertical asymptote at x=0.

f(x) = x, is a linear function, which has a constant slope of 1.

f(x) = (x-1), is a linear function with a slope of 1, but it is shifted to the right by 1 unit.

Therefore,

The absolute value parent function is f(x) = |x|.

Learn more about functions here:

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Answer:

c

Step-by-step explanation:

I can do this so fast I know I am a high school

Answer:

Hi, Victoria. When you are dealing with a system of equations in three variables, you want to see first if there is anyway that you can eliminate two variables in one fell swoop. Remember that for any one given equation, you can multiply both sides by the same number without making the equation untrue. Also, remember that you can add or subtract two equations.

If we add the first and second equations, we will eliminate both the x and the y.

(2x + y + z) + (2x - y - z) = (3) + (9)

Answer:

Probability: The fraction you would expect to see a certain event occurring in many trials.

Ex: the probability of an event (blank) happening might be 0.75. This is more known as the normalized probability.

Chance: Chance is a synonym of probability, is usually expressed as a percentage

Ex: 100%

Odds: They are the ratios of probabilities, they can be defined in two different ways: odds in favor of an event (“odds on”) or against an event  (“odds against").

Ex: let's just say if the probability of an event occurring is 0.75, then the odds for it happening are 0.75/0.25 = 3/1 = 3 to 1 while the probability that it doesn’t occur is 1 to 3 against.

Step-by-step explanation:

Let's split this problem into several steps:

Let's first put it into the point-slope form:

    ⇒ Point-slope form ⇒ [tex](y-y0)=m(x-x0)[/tex]

Consider the information given:

Let's plug the numbers in:

  [tex]y - 15=-4(x+4)\\[/tex]

To put this format into slope-intercept form, we will solve for y:

 ⇒as in, move everything else to one side and y by itself on the other

    [tex]y - 15=-4(x+4)\\y-15=-4x-16\\y = -4x-16+15\\y=-4x-1[/tex]

Thus the equation of the line is --> [tex]y = -4x - 1[/tex]

Hope that helps!

Answer:

$860(860×12×8×1190÷100)

81872_860

=$81012

Answer:

Solution 1 : 10mL with 20% acid

Solution 2 : 30mL with x% acid

Solution 3 : 40mL with 32% acid

Step-by-step explanation:

Since solution 1 + solution 2 = solution 3, let us substitute the given values we have:

10(0.2) + 30(x) = 40(0.32)

2 + 30x = 12.8

To solve for the unknown concentration x, we subtract 2 from both sides:

2 + 30x - 2 = 12.8 - 2

30x = 10.8

Dividing both sides by 30:

30x/30 = 10.8/30

x = 0.36

Therefore the unknown solution is 36% acid.

Answer:

The first option (30c + 10(0.2) = 40(0.32)

I will assume that we are trying to find the slope between (-9,2) and (9, 2)

The slope's equation ⇒  [tex]\frac{y2-y1}{x2-x1}[/tex]

Let's set the variables:

   (x1, y1) --> (-9, 2)

   (x2, y2) --> (9, 2)

Now let's plug them in:

  [tex]Slope = \frac{2-2}{9--9} =\frac{0}{18} =0[/tex]

Thus the slope of the line is 0.

Hope that helps!