what is the measurement of abd

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Answer: P(x)=  x³ - 3 x² - 46 x +168

Step-by-step explanation:

(4,6, -7)

hence the polynomial will be equal to

P(x) = (x-4) (x-6) (x+7)

P(x) = (x-4) (x²+7 x -6 x -42)

P(x) = (x-4) (x²+x -42)

P(x) = x³ + x²-42 x -4 x² -4 x +168

P(x) =  x³ - 3 x² - 46 x +168

hence, the required polynomial is P(x) =  x³ - 3 x² - 46 x +168

The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

"It is a triangle having one of the angle measures 90° "

"It is the longest side of the right triangle."

"For a right triangle,

[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."

For given question,

We need to write a function that models the relationships among x, y, and r.

Consider a right triangle ABC.

where AB = x, BC = y and hypotenuse AC = r

Using Pythagoras theorem,

[tex]x^{2} + y^{2} =r^{2}[/tex]

above function defines the relationships among x, y, and r.

Now we solve above equation for 'r',

[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]

Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]

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Answer:

Look below!

Step-by-step explanation:

1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)

150 feet.

2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)

Pythagorean theorem—>a^2+b^2=c^2

a and b are the legs, while c is the hypotenuse.

x^2+y^2=r^2

Take the root of both sides

r=√x^2+y^2

First, add 7 to both sides of the equation so it would be;

2−7=−5+14

2−7 + 7=−5+14+7

To simplify this it would be:

2=−5+21

Add 5 to both sides, it would look like this:

2=−5+212+5=−5+21+5

To simplify it would be;

7=21

Divide both sides of equation with once again, the same number

7=21  77=217

Simplify it;

=3

Therefore your answer is;

=3

Answer:

$229.73

Step-by-step explanation:

5 Pair of jeans = 127.63

divide by 5 to get 1 pair of jeans.

1 pair of jeans = 25. 526 rounded 25.53

times 9 to get to 9 pair of jeans.

9 pair of jeans = 229. 734 rounded 229.73

Answer:

382 cm²

Step-by-step explanation:

The shape can be decomposed into two rectangular prism or cuboids

✔️Dimension of prism 1 (smaller prism):

L = 10 cm

W = 3 cm

H = 7 - 4 = 3 cm

Surface area of prism 1 = 2(LW + LH + WH)

= 2(10*3 + 10*3 + 3*3)

= 2(69)

Surface area of prism 1 = 138 cm²

✔️Dimension of prism 2 (larger prism):

L = 10 cm

W = 8 cm

H = 4 cm

Surface area of prism = 2(LW + LH + WH)

= 2(10*8 + 10*4 + 8*4)

= 2(152)

Surface area of prism 2 = 304 cm²

✅Surface Area of the composite shape = (Surface area of prism 1 + surface area of prism 2) - (2 × area of the base of prism 1)

= (138 + 304) - (2 × L × W)

= 442 - (2 × 10 × 3)

= 442 - 60

= 382 cm²

Answer:

1,500,000,000

Step-by-step explanation:

First multipy the first digits, which are the ones that do not contain zero.

then put all of the zeros at the end, so product will be 1,500,000,000 because their are 8 zeros in total

if you check with calculator, you get 1,500,000,000

Answer:

Step-by-step explanation:use Slader if u have a textbook

Answer:

3/8 x 5/8 x 7/8=105/512.

Step-by-step explanation:

Answer:

all it says is the link

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: No it can't

You can prove this with Pythagorean theorem. (a^2+b^2=c^2) In this case, 6 is the highest number so we know it has to be the hypotenuse. So plug it into the equation, 1^2+1^2=6^2, and simplify. You will get 2=36, and we know that is not true, so a triangle can't have the lengths of 1, 1, and 6.

Hope this helped you!

Answer:

About 40% of students own a cat

Step-by-step explanation:

Answer:one of them is m=3/1 y=3x+10

Step-by-step explanation:i

Answer: Try using calculatorsoup dot com Significant Figures auto Don't put m in the answer there's No Unit(s)

a = 12 m

b = 5 m

c = 13 m

P = 30 m

s = 15 m

K = 30 m2

ha = 5 m

hb = 12 m

hc = 4.6153846153846 m

Step-by-step explanation:

Answer:

The graph for y=[tex]\sqrt{x}[/tex]+1 looks like this. Hope this helped you :D

Step-by-step explanation:

The required graph of y = √x + 1 is a curve that starts from the point (0,1) and rises continuously as x increases.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The equation y = √x + 1 represents a simple algebraic function in which the value of y is dependent on the value of x.

When we plot this function on a graph with x on the horizontal axis and y on the vertical axis, we get a curve that starts from the point (0,1) and continues upward as x increases.

At x=0, the value of y is 1. As x increases, the value of y increases as well, but at a slower rate because of the square root function. As x approaches infinity, the value of y also approaches infinity, but again at a slower rate than a linear function.

Since the domain of the function is all non-negative real numbers (x ≥ 0), the graph of the function exists only in the first quadrant of the coordinate plane.

Overall, the graph of y = √x + 1 is a curve that starts from the point (0,1) and rises continuously as x increases.

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9514 1404 393

Answer:

  (c)  180 cm²

Step-by-step explanation:

Maybe you want the area of the trapezoid. That is given by the formula ...

  A = (1/2)(b1 +b2)h

where b1 and b2 are the base lengths, and h is the height.

Here, the top base is marked 16 cm, and the bottom base is shown as 4 cm longer, so is 20 cm.

  A = (1/2)(16 cm +20 cm)(10 cm) = 180 cm²

1. H+S=40

2. 19H+25S=922

From 1,

19H+19S=760

Subtract this from 2 to eliminate H,

19H+25S-19H-19S=922-760

6S=162

Solve for S, then use either equation to solve for H.

Answer:

We reject the null hypothesis, and accept the alternative hypothesis.

So, it means that the machine is under filling the bags

Step-by-step explanation:

Given

Null Hypothesis

[tex]H_0:\mu = 419[/tex] --- works correctly at 419g

Alternate Hypothesis

[tex]H_0:\mu < 419[/tex] --- under fills the bag

[tex]n =15[/tex] --- the sample

[tex]\bar x = 409[/tex] --- the mean

[tex]\sigma = 22[/tex] --- the standard deviation

[tex]\alpha = 0.05[/tex] --- the significance level

Required

What is the decision rule

Since n is less than 30, we make use of t test

[tex]t = \frac{\bar x - \mu}{\sigma/\sqrt n}[/tex]

[tex]t = \frac{409 - 419}{22/\sqrt{15}}[/tex]

[tex]t = \frac{-10}{22/ 3.87}[/tex]

[tex]t = \frac{-10}{5.58}[/tex]

[tex]t = -1.792[/tex]

Calculate df

[tex]df = n-1[/tex]

[tex]df = 15-1[/tex]

[tex]df = 14[/tex]

Calculate the p value from the Student's t-distribution  at df = 14 and [tex]t = -1.792[/tex]

[tex]p =0.047[/tex]  

Given that: [tex]\alpha = 0.05[/tex]

Since [tex]p < \alpha[/tex]

So, it means that the machine is under filling the bags

Answer:

Step-by-step explanation:

This is an isosceles triangle with base of 21 and sides of 28.

Area formula

Find height:

Area:

Answer:

B) Failing to diagnose arthritis in a patient who has arthritis

Step-by-step explanation:

CollegeBoard

Answer:

36:45

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Everything including 1/2 and above rounds up to the next whole number.

3/8 < 4/8

7 and 3/8 rounds to 7

Answer:

15 adult, 45 student

Step-by-step explanation:

5x+2y=165

x+y=60

x = 60-y

300-5y+2y=165

-3y = -135

x= 15

y= 45

Answer :

to find area of the square = 6 to the power 2

to find the area of the rectangle = (5x + 12) * 5x

therefore,

square's area = 36

rectangle's area = 5x*5x + 12 * 5x

= 25x * 60x

Now we have to find the sum of both the areas,

so, 36 + 1500 = 1536

Step-by-step explanation:

look I know my answer is wrong but I just wanted points! thnx for the free points! :)))))))))

NANRI! VANAKKAM!

Answer:

512

Step-by-step explanation:

2^9 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512

Answer:

Nxnjsjdndkknnndnnnenndnnd

Answer:

85

Step-by-step explanation:

If you subtract 415 from 500 you get 85.

Therefore the gardening club needs 85$

If you could mark brailiest that would be great, I'm trying to rank up.

Hope I helped:)

HAve a great day:)

Answer:

y = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-3y + 14 + y = 12

Step 2: Solve for y

Answer:

= 1

Step-by-step explanation:

-3y+y+14=12

-2y = 12-14

-2y= -2        divide both sides by -2

y= 1

Answer:

2 x 2 x 2.38

2 x 2.1 x 2.26

6 x .31 x 5.118