what is the value of h

Answer:

[tex]Suppose~that~two~numbers~are~x~and~y.\\From~the~first~condition,\\x+y=4.........(1)\\or, y=4-x.......(2)\\From~the~second~condition,\\x^2+y^2-3xy=76\\or, (x+y)^2-2xy-3xy=76\\or, 4^2-5xy=76\\or, -5xy = 76-16\\or, -5xy = 60\\or, xy = -12\\From~eq^n~(2),\\x(4-x)=-12\\or, 4x-x^2=-12\\or, x^2-4x-12=0\\or, x^2 +2x-6x-12=0\\or, x(x+2)-6(x+2) = 0\\or,(x+2)(x-6) = 0\\i.e. x = -2 ~or ~6\\When~ x=-2, y=4-(-2) = 4+2 =6\\When~x=6, y=4-6 = 4-6 = -2\\So,~the~two~numbers~are~-2~and~6.[/tex]

Answer:

-2 and 6

Step-by-step explanation:

Mark the first number as x

and the second number as y

Since x + y = 4

y = 4 - x

// substitute the given value of y into the equation

[tex]x^{2} + y^{2}[/tex] - 3xy = 76

[tex]x^{2}[/tex] + [tex](4-x)^{2}[/tex] - 3 * x * (4 - x) = 76

[tex]x^{2}[/tex]  + 16 - 8x + [tex]x^{2}[/tex]  - 12x + 3[tex]x^{2}[/tex] = 76

[tex]x^{2}[/tex]  + [tex]x^{2}[/tex]  + 3[tex]x^{2}[/tex]  - 20x = 76 - 16

5[tex]x^{2}[/tex]  - 20x = 60

5[tex]x^{2}[/tex]  - 20x - 60 = 0

// divide both sides by 5

[tex]x^{2}[/tex] - 4x - 12 = 0

// write -4 x as a difference, this way it is faster than calculating discriminant

[tex]x^{2}[/tex] + 2x - 6x - 12 = 0

// factor out x and -6 from the expression

x (x +2) - 6 (x +2) = 0

(x - 6) * (x + 2) = 0

// there are two possible cases

1) x - 6 = 0

2) x + 2 = 0

1) x = -2

2) x = 6

// substitute the given value of x into the equation

1) y = 4 - x = 4 - (-2) = 6

2) y = 4 - x = 4 - 6 = -2

Now we get two pairs (-2; 6) and (6; -2), which are the solutions to the system

Since their sequence as the question suggests is irrelevant, the numbers are -2 and 6

Answer:

10x^2 or 10x because you are adding x

Answer:

area of ABC=1/2 b×h=1/2×20×6=30m²

Answer:

60 m^2

Step-by-step explanation:

( Base * Hight / 2 = Area)

20 * 6 = 120

120 / 2 = 60

Answer:   b

Step-by-step explanation:

x= 5+√35 and 5-√35

Answer: the answer is 2.64 or 264

Explanation: if you multiply 3.3 × 0.8=264 but if you mulyiply 33×8=264

Step-by-step explanation:

bence 27 cunkku yuzd sordugu icin kolaylıklar dilerim iyi günler

Before you read this!! To me, it looks like 8 is the entire length of lineJL, but it may only be the length of lineJM. I've written the steps for lineJL=8 NOT lineJM=8. If this is not the case and 8 is only the length of lineJM let me know so I can fix my answer!

Step-by-step explanation:

The area of a triangle is A=1/2(b)(h)

B=base

H=height

Your height is found in the line in the middle of the triangle, for you it is 6.

The base is the long bottom line on the triangle (lineJL), for you it is 8.

So let's put it in.

A=1/2(8)(6)

A=24sq units (C)

Step-by-step explanation:

first distribute the first equation

8(2x) - 8(14) +13 = 4x -27

16x - 112 +13 = 4x -27

then combine like terms

16x - 99 = 4x -27

subtract 4x from both sides

12x - 99 = -27

add 99 to both sides

12x = 72

divide both sides 12 to isolate the x

x = 72/12 = 6

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

step 1. I assume i is imaginary

step 2. i^2 = -1, i^3 = -i, i^4 = 1, i^5 = I. . . . and so on

step 3. i - 1 - i + 1 + i - 1 - i + 1 + i - 1

step 4. the result is i - 1.

Answer:

No

Step-by-step explanation:

Because the equation needs to have a variable

Answer:

5. 1/29

Step-by-step explanation:

1/. and the bottom numbers says 30-1 which is 29 soooo 1/29

Answer:

2/5=6/15

Step-by-step explanation:

2/5

3x2=6

3x5=15

compare they are same

give me brainliest pls

The equal sign completes the give incomplete mathematical statement.

The given incomplete expression is -

2/5 _____ 6/15

The given expression is -

2/5  ____  6/15

2/5  ____ 2/5

0.4  ____ 0.4

0.4 = 0.4

Therefore, the equal sign completes the give incomplete mathematical statement.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

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Definition of  an equilateral triangle: A triangle with the exact same sides and angles, which is 60°

5 more than twice a number:

Let the number be x:

2x + 5

Since it is an equilateral triangle, multiply that by 3:

3(2x +5) = 6x + 15

The perimeter is (6x + 15) inches.

Answer:

c

Step-by-step explanation:

..........................

Answer:

The roots of a quadratic equation simply tell what values of x will make the equation true. A quadratic function is a function where the largest power for the variable is 2. ... A quadratic equation is given to you so that you can solve it for the variable. A quadratic function is given to you so that you can graph it.

Answer:

90 days

Step-by-step explanation:

This one is just simple division, so you divide the goal number which is -5400 by -60 but in this situation you can just make them positives.

Given:

The two numbers are 19.8 and 5.

To find:

The estimated product of given numbers by rounding each factor to nearest whole number.

Solution:

Two number are 19.8 and 5.

On rounding the given numbers to the nearest whole number, we get 20 and 5.

Now, the estimated product is

[tex]20\times 5=100[/tex]

Therefore, the estimated product of given numbers is 100.

Answer:

It must be 3/2.........

Answer: -2/3

Step-by-step explanation:

I wrote the equation y-3=3/2(x-4) in slope-intercept form. It's y=3/2x-5, so the slope is 3/2.

To find the perpendicular slope, I found the opposite reciprocal. The reciprocal of 3/2 is 2/3 and the opposite of 2/3 is -2/3

Answer:

Step-by-step explanation:

Slope-intercept form:

Take two points from the graph:

Find the slope:

The y-intercept is b = 5

The line is:

Answer:

A≈ 50.27in^2

Step-by-step explanation:

A= πr^2=

π·4^2≈ 50.26548

Answer:

A A one-sample t-interval for a population mean

Step-by-step explanation:

The biologist will collect a random sample of dolphins and use the sample weights to create the estimate.

In a confidence interval, we take the data from the sample and want to estimate it for the entire population, so the interval is for a population mean.

The standard deviation will be taken from the sample, which means that the t-interval is used.

We want for one population, so it is a one sample for the population mean, and the correct answer is given by option A.

Answer:

AB=15

Step-by-step explanation:

Since DM =MA and CN=NB, then DC || MN || AB

29-22=7

22-7=15

AB=15

Answer:

The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.

Step-by-step explanation:

Let p1 be the sample of 1000 adults chosen in 2012 and

p2 be the sample of 1100 adults chosen in 2010

Part a:

The hypothesis that can be used to test for a significant difference between the population proportions for the two years is:

H0: p1-p2= 0           against the claim      Ha: p1-p2≠0

Part b:

The sample proportion indicating that their financial security was more that fair in 2012 is

p1^= 410/1000= 0.41

In 2010 is:

p2^= 385/1100= 0.35

Part c:

p^c= 410+385/1000+1100= 0.3785

q^c= 1-p^c= 1-0.3785= 0.6124

The critical region is z > ±1.96

The test statistic is

z= p1^- p2^ / sqrt ( p^cq^c( 1/n1+ 1/n2)

z= 0.41-0.35 /sqrt( 0.3785*0.6124(1/1000 +1/1100)

z=  0.06 / 0.021036

z= 2.85

Conclusion

The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.

P- value :  0.00466

The result is significant( accept the null hypothesis) for  value less than 0.05

Part d:

                                                     2012                         2010

Sample                                       1000                           1100

Proportions                               0.41                             0.35

Standard Error               √0.41( 0.59)/1000        √0.35( 0.65)/1100

                                               = 0.0155                0.01438

Standard Error for the difference = √0.0155² + 0.01438² =0.0211

p1-p2 ± z* standard error for the difference

0.41-0.35 ± 1.96 *( 0.0211)

0.06 ± 0.041356

-0.018644,   0.101356

The 95 % confidence interval estimate is (-0.018644,   0.10135

Answer:

The LCD is 3x²

The other two denominators can be factors of 3x²

Step-by-step explanation:

To get the equivalent fractions, divide the original denominator into the LCD, then multiply the original numerator by the quotient.

For the first term: 1/x²

3x² ÷ x² = 3 3×1=3 The equivalent is 3/3x²

Second term: Leave it as it is.

For the third term: 15x

The implied denominator is 1

3x² ÷ 1 = 3x² 3x² × 15 = 135x²

The equivalent is 135x²/3x²

To check the validity, substitute a value for x and calculate the numbers.

For example let x = 3

The original expression becomes

1/3² + 4/3(3²) - 15(3)

1/9 + 4/27 - 45

With the LCD it is

3/27 + 4/27 - 1215/27

Answer:

3x^2(x+5)

Step-by-step explanation:

hope this helps

Given:

The figure of a regular polygon.

To find:

The area of the regular polygon.

Solution:

From the given figure it is clear that the regular polygon has 4 vertices. It means, it is a square.

Distance between the center and the vertex is 7 yd. So, the diagonal of the square is

[tex]d=7+7[/tex]

[tex]d=14[/tex] yd

We know that, area of a square is

[tex]A=\dfrac{1}{2}d^2[/tex]

Putting d=14 in the above formula, we get

[tex]A=\dfrac{1}{2}(14)^2[/tex]

[tex]A=\dfrac{1}{2}(196)[/tex]

[tex]A=98[/tex]

Therefore, the area of the regular polygon is 98 sq. yd.