Identify the 2D shape made by this cross section

Answer:

equation= y-y¹=m(x-x¹)

where m= gradient or slope

slope = y²-y¹

x²-x¹

= -5-7

-2-4

-12

-6

= 2

equation= y-7=2(x-4)

y-7=2x-8

y= 2x-8+7

y=2x-1

PART A:

Solve for the slope by solving change in y over change in x. We have (3-(-5)/(-2-2) = 8/-4=-2

PART B:

Change in to y=mx+b: -5y = -2x-10. Divide all terms by -5: y = 2/5x + 2. The slope is 2/5 and the y-intercept is 2.

PART C:

Remembering from part a that m=change in y/change in x, we have the equation: -4=1-(-9)/0-x. If we simplify, we have -4=10/0-x. If we multiply both sides from 1/10 we have: -2/5 = -x. So, x = 2/5.

PART D:

We can use point-slope form first:

y-5=-7(x+1). Then we solve the equation! y-5 = -7x-7. After adding 5 to both sides, we have the equation: y=-7x-2.

Answer:

[tex]f(x) = \dfrac14(x + 1)^2(x + 3)(x -2)( x - 3)[/tex]

Tia is correct

Step-by-step explanation:

From inspection of the graph, we can say that the leading coefficient of the function is positive as:

[tex]f(x) \rightarrow - \infty, \textsf { as } \ x \rightarrow - \infty\\f(x) \rightarrow +\infty, \textsf { as } \ x \rightarrow + \infty[/tex]

From inspection of the graph, we can see that the curve intercepts the x-axis at x = -3, x = 2, x = 3

As the curve touches the x-axis at (-1, 0) then this means that the root x = -1 has multiplicity 2

Therefore, [tex]f(x) = a(x + 1)^2(x + 3)(x -2)( x - 3)[/tex] where [tex]a[/tex] is some positive constant.

If we multiply the constants, we can determine the y-intercept:

y-intercept = a x 1² x 3 x -2 x -3 = 18a

Therefore, the y-intercept is at y = 18a

From inspection of the graph, the y-intercept is at y = 4.5

So to determine the value of a:  18a = 4.5 ⇒ a = 1/4

Therefore, the fully factored form of the equation is:

[tex]f(x) = \dfrac14(x + 1)^2(x + 3)(x -2)( x - 3)[/tex]

Answer:

Step-by-step explanation:

yes....the pair of linear equations has unique solution.....

2x + 3y - 7 = 0 ...... (i)

3x + 2y + 10 = 0 ....... (ii)

on comparing the equation i nd ii with a1x + b1y + c1 = 0

nd a2x + b2y + c2 = 0 reslectively......

a1 = 2 ; b1 = 3 ; c1 = -7

a2 = 3 ; b2 = 2 ; c2 = 10

here....its clear that......

a1 / a2 is not equal to b1 / b2

Therefore the given pair of linear equation have a unique solution........

Answer:

6. mean = 1.4

7. variance = 1.64

standard deviation = √1.64

Step-by-step explanation:

6.  

[tex]\textsf{mean }\mu=\[ \sum [x \cdot p(x)][/tex]

⇒ [tex]\mu[/tex] = 0 x 0.4 + 1 x 0.1 + 2 x 0.2 + 3 x 0.3 = 1.4

7. see attached for completed table

[tex]\textsf{variance }\sigma^2=\[ \sum [(x -\mu)^2 \cdot p(x)][/tex]

Therefore, variance is the total of the last column:

[tex]\sigma^2[/tex] = 0.784 + 0.016 + 0.072 + 0.768 = 1.64

standard deviation is the square root of variance:

[tex]\sigma=\sqrt{1.64}[/tex]

Answer: 87

Step-by-step explanation:

x - 46 = 41

x = 87

Answer:

the answer is letter B

Step-by-step explanation:

correct me if i wrong

The decision-maker is advised to use three dummy variables. The rule of thumb states that it is better to use lesser dummy variables than the categories being investigated. In this case, the categories are four - North, South, East, and West.

This is a statistical term that refers to a factor that is characterized with the value of one or zero in order to explain the presence of absence of an effect that is categorized.

This is used mainly in regression analysis.

See the link below for more about dummy variables:

https://brainly.com/question/4528945

Answer:

exact form: -89/20

decimal form:-4.45

mixed numbers: -4  9/20

Step-by-step explanation:

try and find which one it is

Answer:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Step-by-step explanation:

1 2 33

Answer:

68

Step-by-step explanation:

anglex and angle 22 are complementary angles, so they add up to 90.

22+x=90

90-22=68

Hope this helps!

Answer:

Solve for x, y, and z. 1st Equation: 2x + 2y + 4z = 48. 2nd Equation: 2x + 9y + 7z = 105. 3rd Equation: x + 4y + z = 37. Subtract the 2nd Equation from the 1st Equation. This will eliminate the variable “x”.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The gross pay that shows up on your paycheck is the sum of wages, commissions, and any other earnings your employer may share with you (tips, insurance offsets, bonuses). From this gross pay, government regulations may require the deduction of taxes of various kinds. Your employer may deduct the cost of insurance, and you may voluntarily have amounts deducted for additional taxes, insurance, union dues, or retirement plan contributions. The pay that you take home is the net pay after these deductions.

__

Chien gets paid at the rate of $15 per hour for 20 hours per week and 2 weeks per pay-period. We are not told of any other earnings or contributions to his gross pay. So, it will be ...

  ($15/h)(20 h/wk)(2 wk/period) = $600/period

Chien's gross pay will be $600 each pay period.

__

As discussed above, "net pay" and "take-home pay" are synonymous.

__

As discussed above, there may be a variety of deductions from his gross pay that will reduce his net pay. Often the largest of these is income tax together with Social Security tax. There may be additional deductions for insurance, union dues, health plan contributions, and retirement plan contributions.

__

Chien's budget should be based on money he actually has available to spend. That would generally be his net pay.

If Chien is considering changing jobs or his family situation, changes to payroll deductions may figure into his budget. Ordinarily, those costs would be considered "fixed" and not subject to a budgeting process.

Answer:

504 ways

using permutation method,

9P3= 9×8×7=504

Answer:

0.75 lbs

Step-by-step explanation:

You see, the puppy weighs 24 lbs now, but at birth it was 32 times less lbs then now.

Answer:

Yes, because [tex]x(x -4)[/tex] is equivalent to [tex]x^2-4x[/tex]

Step-by-step explanation:

[tex]x(x -4)[/tex] and [tex]x^2-4x[/tex]

[tex]x(x -4) = x^2 - 4x[/tex]

Hope this helps!

Answer:

Trigonometry : Law of Sines

Step-by-step explanation:

Have a good day :)

Answer:

3

Step-by-step explanation:

1/2 x 10 is 5

8 - 3 is 5

1/2 x 10 = 8 - 3

Answer:

3

Step-by-step explanation:

1/2 * 10 = 5

8-5=3

Answer: Below

Step-by-step explanation:

So we start off with b and f. Our first piece of information, Bill baked 3 times as many as Felicia, gives us the equation:

b = 3f

The second piece gives us the equation:

b = f + 24

We have a 3f, but no b = f + 24 in the possible answers. So:

b = f +24

b - 24 = f

Our answer is A.

Answer:

250m^2

Step-by-step explanation:

Area of quadrilateral = ½ × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices

We can substitute the numbers given into the formula shown above.

1/2 * 25 * (8+12)m^2

This can be simplified to 1/2 * 25 * 20 which is 250m squared

Hope this helps!

Divide the sale price by the percentage:

279 / 62% = 279/0.62 = 450

The original price was $450

Answer:

Step-by-step explanation:

Perimeter of the square is 24(4)=96.

Perimeter of the rectangle is 2(10+length)=96

10+length=48

length=38 m

Area of the square is 24^2 = 576.

Area of the rectangle is 10 * 38 = 380

So the square has an area 196 m^2 greater.

Answer:

[tex]\cos\theta = \pm\frac{2\sqrt{2}}{3}\\\tan\theta=\pm\frac{\sqrt{2}}{4}[/tex]

Step-by-step explanation:

sinθ = 1/3

[tex]\cos\theta=\pm\sqrt{1-\cos^2\theta} = \pm\sqrt{1-\frac{1}{9}}=\pm\sqrt\frac{8}{9}=\pm\frac{2\sqrt{2}}{3}[/tex]

[tex]\tan\theta=\frac{\sin\theta}{\cos\theta}=\pm\frac{1}{2 \sqrt{2}}=\pm\frac{\sqrt{2}}{4}[/tex]

Linear equations are often organized in slope-intercept form:

[tex]y=mx+b[/tex]

The slope of a line is equal to its [tex]\dfrac{rise}{run}[/tex].

Typically, we would solve for the slope by using the following formula:

The y-intercept of a line refers to the y-value that occurs when x=0.

On a graph, it is the y-value where the line crosses the y-axis.

1) Determine the slope of the line (m)

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the two given points, (-17,-4) and (-7,-13):

[tex]m=\dfrac{-13-(-4)}{(-7)-(-17)}\\\\m=\dfrac{-13+4}{-7+17}\\\\m=\dfrac{-9}{10}[/tex]

Therefore, the slope of the line is [tex]-\dfrac{9}{10}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\dfrac{9}{10}x+b[/tex]

2) Determining the y-intercept (b)

[tex]y=-\dfrac{9}{10}x+b[/tex]

Plug in one of the given points and solve for b:

[tex]-4=-\dfrac{9}{10}(-17)+b\\\\-4=\dfrac{153}{10}+b\\\\b=-\dfrac{193}{10}[/tex]

Therefore, the y-intercept of the line is [tex]-\dfrac{193}{10}[/tex]. Plug this back into our equation:

[tex]y=-\dfrac{9}{10}x-\dfrac{193}{10}[/tex]

[tex]y=-\dfrac{9}{10}x-\dfrac{193}{10}[/tex]

Answer:

Use a number line ruler or pencile and paper.

Step-by-step explanation:

number line ruler or pencile and paper. those are choices or you can use anything esle that helps :)

Answer:

7 And 9

Step-by-step explanation:

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