‼️10 points‼️
5. Find the slope of the line.
A. 4/3
B. -4/3
C. 3/4
D. -3/4

total number of pages = 550 pages

total amount of time to read the full book = 10 hours

======================================================

Work Shown:

1 hour = 55 pages

4 hours = 220 pages ... multiply both sides by 4

After 4 hours, he had read 220 pages. Since he has 330 still left to read, this brings the total to 220+330 = 550 pages overall

550/55 = 10 hours is the total amount of time needed to read the entire book at a rate of 55 pages per hour. This is assuming the rate is kept constant.

While 10 hours is a lot, it's somewhat plausible to get the full book read in one continuous session. Though he is better off taking (short) breaks every now and then.

Answer:

550 pages

10 hrs

Step-by-step explanation:

he reads 55 pages per hour

4 hrs* 55 pages/hrs=220 pages

the book is 550 pages long

220 pages+330=550 pages

to find the time to read the whole book:

330/55=6 hrs +4 hrs=10

or

550/55=10 hrs

Step-by-step explanation:

y isn't directly proportional with x because the graph doesn't cross O the origin, it starts from a y-intercept wich is not a property for proportional portions

Answer:

0.45 litres

Step-by-step explanation:

2/5 multiplied by 2 = 0.8

0.8+0.75= 1.55

2-1.55 = 0.45

Answer:

This sequence is a geometric sequence.

The common ratio of the sequence is

3/9 = 1/3

Hope this helps

Answer:

98

Step-by-step explanation:

7x+4 = 88 because they are vertical angles and vertical angles are equal

7x = 88-4

7x = 84

Divide by 7

7x/7 = 84/7

x = 12

<1 and 7x-2 are supplementary angles since they form a line

<1 + 7x-2 = 180

<1 + 7(12) -2 = 180

<1 +84-2 =180

<1 +82 = 180

<1 = 180-82

<1 = 98

Answer-

98

step by step explanation -

7x+4=88

7x=84

x=12

7x-12=7*(12)-2=82

angle 1=180-82 =

Answer:

C has the largest area. It is 4.5 square units.

Step-by-step explanation:

A:

area = bh/2 = 2 * 3/2 = 3

B:

area = bh/2 = 2 * 3/2 = 3

C:

area = bh/2 = 3 * 3/2 = 4.5

C has the largest area. It is 4.5 square units.

Answer:

the alternate interior angles theorem.

Hope this helps.. Good Luck!

Answer:

804.25 cm² (corrected to 2 decimal places)

Step-by-step explanation:

Radius = diameter / 2

= 16/ 2

=8 cm

Surface area of sphere = 4πr²

= 4π8²

=804.25 cm² (corrected to 2 decimal places)

Answer: (9, 40, 41)

Step-by-step explanation:

There are an infinite number of Pythagorean triples.

Any value a, b, c such that a² + b² = c²

Here are a few of them:

3, 4, 5

5, 12, 13

7, 24, 25

8, 15, 17

9, 40, 41

Answer:

​(x²-y²)² + (2xy)² = (x²+y²)²

Find the missing x- and y-values and Pythagorean triples using the identity given

A Pythagorean triple consists of three positive integers a, b, and c, that satisfy the equation from the Pythagorean theorem, thus, a² + b² = c², such triple is commonly written (a,b,c).​

​We are given the equation : (x²-y²)² + (2xy)² = (x²+y²)² since this, we have :

​a = (x²-y²)

​b = (2xy)

​c = (x²+y²)

​Question 1)

X Value = 4​

​Y Value = 3

​Pythagorean triples: ?

We can replace the values of x and y, to determine a, b and c.​

​a = (x²-y²) = (4²-3²) = 16-9 = 7

​b = (2xy) = (2*4*3) = 24

c = (x²+y²) = (4²+3²) = 16+9 = 25​

​Answer 1 : Pythagorean triples : (7,24,25)

Question 2) ​

​X Value = 5

Y Value = ?​

Pythagorean Triples: (9,40,41)​

​Now we have a, b, and c, to determine Y

​b = (2xy) = 40

Y = 40/2x = 40/2*5 = 40/10 = 4​

Answer 2 : Y = 4​

​Question 3)

X Value = ?​

Y Value = 3​

Pythagorean Triples: (27,36,45)​

Now we have a, b, and c, to determine X​

b = (2xy) = 36​

​X = 36/2y = 36/2*3 = 36/6 = 6

​Answer 3 : X = 6

Question 4)​

​X Value = 7

Y Value = 5​

​Pythagorean Triples: ?

We can replace the values of x and y, to determine a, b and c.​

a = (x²-y²) = (7²-5²) = 49-25 = 24​

b = (2xy) = (2*7*5) = 70​

c = (x²+y²) = (7²+5²) = 49+25 = 74​

Answer 4 : Pythagorean triples : (24,70,74)​

Hope this helps!​​​​​

Step-by-step explanation:

From Spymore

For this case we must represent the following expression algebraically:

"eight more than the product of a number and two"

Let "x" be the variable that represents the unknown number

We have to:

the product of a number and two is represented as: 2x

Then, the full expression will be:

2x + 8

Thus, we use multiplication and addition.

hope this answer correct

Answer:

The answer is given below

Step-by-step explanation:

Given that the location of the points are W = (3, 1) , X = (7, -1), Y = (7, -3) and Z = (3,-3)

The distance between two points A(x1, y1) and B(x2, y2) is given by the formula:

[tex]|AB|=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Therefore, the side length of the quadrilaterals are:

[tex]|WX|=\sqrt{(-1-1)^2+(7-3)^2}=\sqrt{20} =4.47[/tex]

[tex]|XY|=\sqrt{(-3-(-1))^2+(7-7)^2}=\sqrt{20} =2\\\\|YZ|=\sqrt{(-3-(-3))^2+(3-7)^2}=\sqrt{20} =4\\\\|ZW|=\sqrt{(-3-1)^2+(3-3)^2}=\sqrt{20} =4[/tex]

The Perimeter of the quadrilateral = |WX| + |XY| + |YZ| + |ZX| = 4.47 + 2 + 4 + 4 = 14.47 units

Answer:

4.47,

2

4

14.47

Step-by-step explanation:

Answer:

LJ = CB

Therefore, CJ is 50km

Answer:

557.75

Step-by-step explanation:

575 - 3% = 557.75 is the minimum amount in sales that has to be made

Answer:

Rule = 759375(1/15)^(n-1)

Where n represent the number of term

Step-by-step explanation:

a5= ar^4= 15

a6= ar^5= 1

ar^4=15... Equation 1

ar^5=1.... Equation 2

Dividing equation 2 by equation 1

r= 1/15

For the value of a

ar^5=1

a(1/15)^5= 1

a(1/759375)= 1

a= 759375

Rule = 759375(1/15)^(n-1)

Where n represent the number of term

Answer:

(2×1+2)+(2×2+2)+(2×3+2)+(2×4+2)

=28

Answer:

x=88° a=+3 b=4a-3

Step-by-step explanation:

as triangles ADE and BCE are congruent by sss axiom

so correponding angles are equal

i.e<AED = <BEC

and <DAE =90-60

=30°

so

62°+x+30°=180°

therefore x=88°

Answer:

9.35975609756

Step-by-step explanation:

Its about this I just put it into a calculator

Answer:9.353658

Step-by-step explanation:

Answer:

see explanations below.

Step-by-step explanation:

The shown sides are all equal.

If it is a regular polygon, it must have all interior angles equal, and all sides equal.

IF

all sides are equal and all angles are equal,

THEN

it is a regular polygon, with 12 sides, because in regular polygons, all exterior angles are equal, and add up to 360 degrees.

No. of sides = 360/(180-150) = 360/30 = 12 sides.

Answer:

A

Step-by-step explanation:

We know that the y-coordinate has to be 1 so we can eliminate options C and D. If we plug y = 1 into y = -5x + 3 to solve for x we get:

1 = -5x + 3

-2 = -5x

x = 0.4 so the answer is A.

Answer:

25

Step-by-step explanation:

By Geometric mean theorem:

[tex] {12}^{2} = y \times 16 \\ \\ 144 = y \times 16 \\ \\ y = \frac{144}{16} \\ \\ y = 9 \\ \\ x = y + 16 \\ \\ x = 9 + 16 \\ \huge \red{ \boxed{ x = 25}}[/tex]

The missing length AC is approximately 25.61 units.

In the right-angled triangle ABC, the hypotenuse is AC, and the other two sides are AB and BC. We are given that BD = 12, DC = 16, and triangle ABC is right-angled at B.

To find the missing length AC, we can use the Pythagorean theorem:

[tex]AC^2 = AB^2 + BC^2[/tex]

Since triangle ABC is right-angled at B, we can use the given lengths to find AC.

We know that BD is perpendicular to AC, so it divides triangle ABC into two smaller right-angled triangles: ABD and BDC.

In triangle ABD:

[tex]AB^2 = BD^2 + AD^2\\\\AB^2 = 12^2 + AD^2\\\\AB^2 = 144 + AD^2[/tex]

In triangle BDC:

[tex]BC^2 = BD^2 + DC^2\\\\BC^2 = 12^2 + 16^2\\\\BC^2 = 144 + 256[/tex]

We also know that AB = BC (since they are opposite sides in an isosceles right-angled triangle), so we can equate the two expressions:

[tex]144 + AD^2 = 144 + 256[/tex]

Simplifying, we get:

[tex]AD^2 = 256[/tex]

Taking the square root of both sides:

AD = 16

Now we can substitute the value of AD back into the expression for [tex]AB^2[/tex]:

[tex]AB^2 = 144 + AD^2\\\\AB^2 = 144 + 16^2\\\\AB^2 = 144 + 256\\\\AB^2 = 400[/tex]

Again, since AB = BC (in an isosceles right-angled triangle), we can say:

[tex]400 = 144 + BC^2\\\\BC^2 = 400 - 144\\\\BC^2 = 256[/tex]

Taking the square root of both sides:

BC = 16

Finally, we can substitute the values of AB and BC into the Pythagorean theorem equation to find AC:

[tex]AC^2 = AB^2 + BC^2\\\\AC^2 = 400 + 256\\\\AC^2 = 656[/tex]

Taking the square root of both sides:

AC = √656

AC ≈ 25.61

Therefore, the missing length AC is approximately 25.61.

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Step-by-step explanation:

if parabola has a vertex not in x-axis, it should have 2 x intercept

x-vertex = -2

first x intercept = 3

second x intercept should -7

so the equation will like this

y = a(x-x1)(x-x2)

y = a (x-3)(x+7)

y = a(x² + 4x - 21)

5 = a((-2)² + 4(-2) - 21)

5 = a(4 - 8 - 21)

5 = a(-25)

a = 5/(-25)

a = -1/5

then the equation is

y = (-1/5)(x² - 4x - 21)

or you can write as

y = -x²/5 + 4x/5 + 21/5

or as this one

5y = -x² + 4x + 21

This given equation represents a parabola that is downward facing, has a vertex at (-2, 5), and has an x-intercept of x = 3.

The equation of a parabola with vertex (h, k) is given by:

y = [tex](ax - h)^{2}[/tex] + k

We know that the vertex of the parabola is (-2, 5), so h = -2 and k = 5.  We also know that the parabola has an x-intercept of x = 3, so when x = 3, y = 0.  Substituting these values into the equation of the parabola, we get:

0 = [tex](a(3 - (-2))^{2}[/tex] + 5

0 = a × 25 + 5

-5 = 25a

a = -1/5

Therefore, the equation of the parabola is:

y = -(1/5)(x + 2) + 5

or

y = -(x + 22/5 + 5

We can also write the equation in vertex form as:

y = -(x - (-2))2 + 5

This equation represents a parabola that is downward facing, has a vertex at (-2, 5), and has an x-intercept of x = 3.

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Step-by-step explanation:

last years was $2500.00

20% of $2500 = $500.00

profit this year is $3000.00

Answer:

D

Step-by-step explanation:

Answer:

oasis

Step-by-step explanation:

Answer:

13%

Step-by-step explanation:

[tex]percentage \: increase = \frac{565 - 500}{500} \times 100 \\ \\ = \frac{65}{500} \times 100 \\ \\ = \frac{65}{5} \\ = 13 \% [/tex]

Answer:

x ≤ -4

Step-by-step explanation:

There is a closed circle at -4, which requires and equals sign

The line goes to the left, which is less than

x ≤ -4

Answer:

H(0, -7)

Step-by-step explanation:

x:

(16 + x)/2 = 8

16 + x = 16

x = 0

y:

(-2 + y)/2 = -4.5

-2 + y = -9

y = -7

H(0, -7)

Answer:

  D.  m∠C = 34, b = 25, c = 16

Step-by-step explanation:

If all you want is an answer, your friendly triangle solver can provide it. (See below)

__

When you have two angles and a side length, the law of sines can be helpful.

  b/sin(B) = a/sin(A)

  b = sin(B)/sin(A)·a = sin(119°)/sin(27°)·13 ≈ 25.04 ≈ 25

Similarly, you have C = 180° -27° -119° = 34°, so ...

  c = sin(C)/sin(A)·a = sin(34°)/sin(27°)·13 ≈ 16.02 ≈ 16

These values match answer choice D.

  m∠C = 34, b = 25, c = 16

Answer:

-b+2 or 2-b

Step-by-step explanation:

We first obtain 2 * b + 4. Next, we get 2b + 4 - 4b = -2b +4. Dividing this by two, we have -2/2b + 4/2 = 2/2 b + 4/2.

The final expression obtained after given operations is 2 - $b$.

Linear expressions are expressions involving constants and variables.

We are given that the person takes a variable $b$, doubles it, and adds four to it. He subtracts $4b$ from this and then divides the whole by 2.

So, we perform these operations on our variable $b$, to obtain the linear expression.

Variable: $b$

Doubles it, that is we multiply it by 2: 2*$b$

Adds 4: 2$b$ + 4.

Subtracts $4b$: 2$b$ + 4 - $4b$ = 4 - $2b$

Divides by 2: (4 - 2$b$)/2 = 2 - $b$

The expression now: 2 - $b$.

∴ The final expression obtained after given operations is 2 - $b$.

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Answer:

x = 5.85641

Step-by-step explanation:

Step 1: Find missing leg of left triangle

sin30° = x/16

16sin30° = x

x = 8

Step 2: Find missing leg of right triangle

8² + b² = 16²

b² = 192

b = 8√3

Step 3: Find x by taking the difference

8√3 - 8 = 5.85641

Answer:

Use a graphing calc.

Step-by-step explanation: