Exercise 21
Let x represents a length in cm where x > 1.5.
AB = 2x - 3, BC = 4x – 6,
AD = 2x + 3 and BE = 4x +1
• ABC is right triangle of area Si.
. CBFG is a rectangle of area S2.
. ADEB is a right trapezoid of area S3.
1) Express S1 and S2 and S3 in terms of x
Plzzz I need help

Answer:

x= 3

Step-by-step explanation:

2x+3=9

2x = 6

x=6/2

x=3

Answer:

-7, 14

Step-by-step explanation:

We start by writing this in the form $x^2 + bx + c = 0$, so we subtract 98 from both sides of the equation.

This gives us $x^2 - 7x - 98 = 0$. We proceed by factoring $x^2 - 7x - 98$, so we seek numbers that multiply to $-98$ and add to $-7$. We find that $7$ and $-14$ work.

Thus, our equation becomes $(x + 7)(x - 14) = 0$. We can now apply the fact that if the product of two real numbers is zero, then at least one of the real numbers must be 0.

Solving $x + 7 = 0$ and $x - 14 = 0$, we find that the solutions are $\boxed{x  =-7~\text{and}~x = 14}$.

The value of the equation is given by x = 14 or x = -7

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

x² - 7x = 98   be equation (1)

Subtracting 98 on both sides of the equation , we get

x² - 7x - 98 = 0

Now , on simplifying the equation , we get

x² - 14x + 7x - 98 = 0

Taking x as the common factor of the equation , we get

x ( x - 14 ) + 7 ( x - 14 ) = 0

On further simplification , we get

( x + 7 ) ( x - 14 ) = 0

Now , the two solutions to the equation is

( x + 7 ) = 0

Subtracting 7 on both sides of the equation , we get

x = -7

( x - 14 ) = 0

Adding  14 on both sides of the equation , we get

x = 14

Therefore , the value of A is 14 or - 7

Hence , the equation x² - 7x - 98 = 0 has the solutions of 14 and -7

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

lol thanks for the free points

Step-by-step explanation:

Answer:

Exposed UwU

Have a great day

Step-by-step explanation:

We know that m<1 = m<2 ( being alternate angels) So,

4+ 12x = 11x +12

12x - 11x = 12 - 4

x = 8

Therefore x = 8

Now

m<1 = 4 + 12 * 8

= 4 + 96

= 100

Hope this helps. :)

Answer:

Ramon will read 70 each night.

Step-by-step explanation:

25% of 280

REMEMBER: "Of" means to multiply

25% x 280

Convert the percent into a decimal

0.25 x 280 = 70

So Ramon will read 70 pages each night.

Hope this helps!!

Responda:

camarote Amarelo

Explicação passo a passo:

Dado que:

Número total de pessoas = 150.000

Caixa rosa: 1/4 * 150.000 = 37.500

Caixa Lilax: 1/5 * 150.000 = 30.000

Caixa amarela: 2/5 * 150.000 = 60.000

Faixa = 0,15 * 150.000 = 22.500

Portanto, a caixa amarela tem mais gente

Answer:

Positive number

Step-by-step explanation:

Given that:

Lucinda is saving money for a hot-air balloon trip to celebrate her graduation and she needs $300 dollars.

Let x be the amount of her savings and she needs $300

SO;

x  + 300 = 0

As an integer, it is represented by a positive number because she needs this amount of money in addition to what she already saved.

Answer:

Mean = np + n(n-1)p²

Standard Deviation= √ σ²   = √npq

Step-by-step explanation:

The m.g.f of the binomial probability distribution b(x;n,p) is derived as below.

M₀t = E (e)^tx

        = ∑(e)^tx (nCx) (p)^x q^(n-x)            { x varies from 0 to n}

        = ∑(e)^tx (nCx) (pe^t)^x q^(n-x)

          = (q +pe^t)^n

The expansion of this binomial is purely algebraic and need not to be interpreted in terms of probabilities.

WE get the moments by differentiating M₀(t)  once, twice, etc. with respect to t and putting t=0

Thus

μ₁`  = E(X) = [ d/dt (q +pe^t)^n]    t=0

     = [ npe^t (q +pe^t)^n-1]  t=0  

     = np

And

μ₂`  = E(X²) = [ d²/dt² (q +pe^t)^n]    t=0

      = [ npe^t (q +pe^t)^n-1]    +  [ n(n-1)p²e^²t (q +pe^t)^n-2]    t=0

= np + n(n-1)p²

Variance= μ₂= μ₂`  - μ₁`²

             σ² =E(X²)-  E(X)²

              σ² =np + n(n-1)p²- (np )²

             σ²   =npq

Standard Deviation= √ σ²   = √npq

Answer:

1st or 3rd i think. hope this helps.

Answer:

174 1/3

Step-by-step explanation:

Answer:

175

Step-by-step explanation:

because may i pls have brainlest

Answer:

Alternate Interior Angles

Step-by-step explanation:

Angle 3 and angle 6 are inside the parallel lines and are opposite sides of the transversal line so, it'd be alternale interior angles.

Answer:

16 gallons

Step-by-step explanation:

33.44 divided by 2.09 is 16, so he put 16 gallons in his car.

Answer:

160

Step-by-step explanation:

Number of DVDs put on the first rack = 5

Number of DVDs put on the second rack = 10

If we closely observe, the number of DVDs on the second rack is nothing but number of DVDs on the first rack multiplied by 2.

Number of DVDs put on the third rack = 20

If we closely observe, the number of DVDs on the third rack is nothing but number of DVDs on the second rack multiplied by 2.

Number of DVDs put on the fourth rack = 40

If we closely observe, the number of DVDs on the fourth rack is nothing but number of DVDs on the third rack multiplied by 2.

Number of DVDs put on the fifth rack = 80

If we closely observe, the number of DVDs on the fifth rack is nothing but number of DVDs on the fourth rack multiplied by 2.

Therefore, to find the number of DVDs on the sixth rack as per similar pattern, we need to multiply the number of DVDs on the fifth rack with 2.

Number of DVDs on the sixth rack = [tex]80\times 2 = \bold{160}[/tex]

Answer:

595

Step-by-step explanation:

SOLUTION STEPS

(2.0×10−3)(3.5×10)

Multiply 2 and 10 to get 20.

(20−3)×3.5×10

Subtract 3 from 20 to get 17.

17×3.5×10

Multiply 17 and 3.5 to get 59.5.

59.5×10

Multiply 59.5 and 10 to get 595.

595

Step-by-step explanation:

numbers 1 4 and 7

Answer:

y ≤ x - 1

Step-by-step explanation:

The slope is 1 (every unit for x, there is a unit for y, rise/run is 1/1). The y-intercept is -1, because the line crosses the y-axis at -1. The graph is shaded below the line, and the line is solid, meaning that y is less than or equal to x -1, or y ≤ x - 1.

Answer: The third one

Step-by-step explanation: open circle, with crocodile sign pointing to right which means u have to go left! Have a nice day!!

Answer:

C) a number line going from negative 6.5 to negative 5.8. An open circle is at negative 6.1. Everything to the left of the circle is shaded.

Step-by-step explanation:

Open circle means < or >

Closed circle means < or >

So has to be an open circle since the sign is <. it also says w < -6.1

so w has to be less than -6.1. So less than -6.1 would be -6.2, -6.3, -6.4etc.

Answer:

An example can be 14 + (-14) = 0

Whenever you encounter a problem like the one I put, your answer should ALWAYS be 0 because you start with 14. Now take away 14 you end up with 0.

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

55 - 20% = 44

5.5% of 44 = 2.42

2.42 + 44 = 46.42

hope this helps. :]

Answer:

<XYZ = 83

Step-by-step explanation:

we can see that the line XY is tangent to point Y

we can also the see that <XYZ intersects the line that forms arc 166

when a tangent line intersect the line that forms an arc, the angle formed by the tangent will be equal to half of the arc

so in other words angle XYZ is 0.5 of Arc 166

so <XYZ = 83

Answer:

32ft by 20ft

Step-by-step explanation:

8x4 and 5x4

Answer:

B, D, and F

Step-by-step explanation:

Answer:

B and E

Step-by-step explanation:

B because they are both congruent the only difference is that shape 4 is in a angle and E the only difference is that 2 is bigger but they are still congruent.

Answer:

4 = 8b >> b = 1/2 or 0.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Neither

Answer:

1. B. point B.

2. C. point C.

3. C. point C.

Step-by-step explanation:

1. In order to find the graph's y-intercept, we need to locate the point where the line crosses the y-axis. This will always happen at x=0, therefore, the y-intercept is located at point B (0,-4)

2. In order to find the x-intercept, we need to find the point where the line crosses the x-axis. This will generally happen when y=0, so that will be point C (2,0)

3. In order to find the graph's zero, we need to find the point where y=0. In other words, the graph's zero is the point where the function is equal to zero (the x-intercept) so this will br point C again (2,0)