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: uoᴉʇnlos ɹnoʎ sᴉ ǝɹǝɥ

Answer:

y = x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (- 1, 2) ← 2 points on the line

m = [tex]\frac{2-1}{-1-(-2)}[/tex] = [tex]\frac{1}{-1+2}[/tex] = [tex]\frac{1}{1}[/tex] = 1

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = x + 2 ← equation of line

The question is an illustration of permutation and combinations.

The given parameters are:

[tex]\mathbf{n = 7}[/tex]

[tex]\mathbf{r = 4}[/tex]

(a) Choose 4 of 7 paintings

Choosing 4 of 7 paintings implies combination.

So, we have:

[tex]\mathbf{^nC_r = \frac{n!}{(n - r)!r!}}[/tex]

Substitute values for n and r

[tex]\mathbf{^7C_4 = \frac{7!}{(7 - 4)!4!}}[/tex]

[tex]\mathbf{^7C_4 = \frac{7!}{3!4!}}[/tex]

Expand

[tex]\mathbf{^7C_4 = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4 !}}[/tex]

[tex]\mathbf{^7C_4 = 35}[/tex]

Hence, the number of ways she can choose 4 out of the 7 paintings is 35

(b) Arrange 4 of 7 paintings

Arranging 4 of 7 paintings implies permutation.

So, we have:

[tex]\mathbf{^nP_r = \frac{n!}{(n - r)!}}[/tex]

Substitute values for n and r

[tex]\mathbf{^7P_4 = \frac{7!}{(7 - 4)!}}[/tex]

[tex]\mathbf{^7P_4 = \frac{7!}{3!}}[/tex]

Expand

[tex]\mathbf{^7P_4 = \frac{7 \times 6 \times 5 \times 4 \times 3!}{3!}}[/tex]

[tex]\mathbf{^7P_4 = 840}[/tex]

Hence, the number of ways she can arrange 4 out of the 7 paintings is 840

Read more about permutation and combinations at:

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Answer:

ok ok it is y+6=-1(x-2)

Step-by-step explanation:

brainliest?

Answer:

Firstly, you can use the slope and the first point to find a second point:

2 + 1 = x2 and 6 + 5 = y2 because the slope is 5/1.

Next you can write the equation in point-slope form (remember point-slope form is y - y1 = m(x - x1):

y - 11 = 5(x - 3)

Another equation would be B because B is the correct equation if you choose 2 as x2 and 6 as y2.

Hope this helps!

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the sides of the figures

(1)

The figure has 5 congruent sides , then perimeter P

P = 5 ([tex]\frac{2}{5}[/tex] x + 1) ← multiply each term in the parenthesis by 5

  = 2x + 5

(2)

There are 4 congruent sides of ([tex]\frac{5}{2}[/tex] x - y) and 8 of y , then

P = 4([tex]\frac{5}{2}[/tex] x - y) + 8y ← distribute parenthesis by 4

  = 10x - 4y + 8y ← collect like terms

  = 10x + 4y

(3)

P = 2([tex]\frac{2a-b}{2}[/tex] ) + 2([tex]\frac{3b}{2}[/tex] ) + 2a ← distribute parenthesis

  = 2a - b + 3b + 2a ← collect like terms

  = 4a + 2b

Answer:

x =-26

Step-by-step explanation:

-15x = 390

Divide each side by -15

-15x/-15 = 390/-15

x =-26

Answer:

X = -26

Step-by-step explanation:

Divide both sides by -15.

390/-15 = -26

X is equal to -26.

Answer:

7.5×10^-3

Step-by-step explanation:

[tex] \frac{ 0.027}{64000} = \frac{2.7 \times{10}^{ - 2} }{6.4 \times {10}^{4} } [/tex]

due to the law of indices :

[tex] = 4.21875 \times 10 ^{ - 7} [/tex]

don't forget

(0.027/64000)⅓

so :

[tex] ({4.21875 \times {10}^{ - 7} })^{ \frac{1}{3} } [/tex]

i.e third root of the answer above

[tex] = 7.5 \times {10}^{ - 3} [/tex]

Answer:

z is equal to -0.88235294117

Step-by-step explanation:

so you first need to do is z minus 16z which is -17z.

you now have -17z is 15

you need to divide each side by -17z

so -17z divided by -17 is 1 z

and 15 divided by -17 is -0.88235294117

so z is equal to -0.88235294117

Hey there!

z - 16z = 15

-15z = 15

DIVIDE -15 to BOTH SIDES

-15z/-15 = 15/-15

CANCEL out: -15/-15 because that gives you 1

KEEP: 15/-15 because gives you the result of the z-value

SIMPLIFY IT

z = -1

Answer: z = -1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

5(3x+2)-2(4x-1)

15x+10-8x+2

7x+12

(about) 6.6 or 6 2/3

Answer:

- 5198/11

Step-by-step explanation:

The length of the bacteria should be written in scientific notation.

0.00365 in scientific notation = 3 × 10^-3

Given.

length of the bacteria in decimal = 0.00365 cm long

Scientific notation is written in the format x × 10ⁿ

where,

x = any number between digit 1 and 10

n = exponent (positive or negative).

In this case, the nearest significant value is 3

So move the decimal point three times to where 3 is

That is,

0.00365 = 3.65

Since the decimal point is moved to the right 3 times, n = - 3

we have 10^-3

Therefore,

0.00365 in scientific notation = 3 × 10^-3

Read more:

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Answer:

1/3 chance

Step-by-step explanation:

hoped this helped you!

Step-by-step explanation:

8 + b/2 = 6

8 more than the quotient of is 6

a number and 2

Answer:

a(0,-8)

Step-by-step explanation:

4x0=0

0--8= 8

Answer:

One solution

Step-by-step explanation:

3x+x+2=8x-4x+2

Combine like terms.

4x+2=4x+2

Solve for x

4x+(-4x)+2=4x+(-4x)+2

2=2

This equation has one solution because 2 only equals 2 and will not equal any other number.

Answer:

p = 18

Step-by-step explanation:

4(p-7) = 44

The operations in order are to distribute first, 4p - 28 = 44

Isolate the variable, 4p = 72

and divide for the answer, p = 18

P stands for pictures, the number of pictures that can be saved to your photo stream at once is 18.

Answer:

12x=4y........................................

Answer:

$6.69

Step-by-step explanation:

Since we know the total cost of 5 pairs of gloves, all we have to do to find the unit price is divide the total cost by how many gloves were are being sold:

33.45 / 5 = 6.69

Therefore, one pair of gloves costs $6.69

Hope this helps :)

Answer:

9

Step-by-step explanation:

3 x 5 =15 + 3 = 18. so 18 over 5 divided by 2 over 5. you flip the 2nd fraction and multiply. the 5s cancel. 18 ÷2 = 9

Answer:

A is 30 inches

b is Yes

c

Step-by-step explanation:

Answer:

ummm?

Step-by-step explanation:

Answer:

Something

Step-by-step explanation:

I have no idea what u just asked

Answer:

5.25 miles.

Step-by-step explanation:

1) Rosa spends 10 minutes in 3/4=0.75 miles, then

2) Rosa can spend 70 in 0.75*7=5.25 miles.

Answer:

5.3 miles

Step-by-step explanation:

3miles/40min =x miles/70min

cross multiply the fractions

3*70 = 40*x

210=40x

divide by 40 on both sides

210/40 = 5.25

Answer:

When a circle is inscribed in a square , the diameter of the circle is equal to the side length of the square.

You can find the perimeter and area of the square, when at least one measure of the circle or the square is given.

For a square with side length s , the following formulas are used.

Perimeter = 4s

Area = s2

Diagonal = s2√

Similarly, you can find the circumference and area of the circle , when at least one measure of the circle or the square is given.

For a circle with radius r , the following formulas are used.

Circumference = 2πr

Area = πr2

Example 1:

Find the perimeter of the square.

When a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square.

So, the side length of the square is 6 cm.

The perimeter P of a square with side length s is given by P=4s .

Substitute 6 for s in P=4s .

P=4(6)     =24

The perimeter of the square is 24 cm.

Example 2:

What is the area of a circle that is inscribed in a square of area 64 square units?

When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units.

The area of a circle of radius r units is A=πr2 .

Substitute r=4 in the formula.

A=π(4)2     =16π     ≈50.24

Therefore, the area of the inscribe circle is about 50.24 square units.

Step-by-step explanation:

Answer:

A=6 cm, D=4.5cm and E=80 cm

Step-by-step explanation:

Answer: To do so, reflect it on the Y axis and then move it 4 times.

Step-by-step explanation:

Answer:

the answer is the 3rd one.

Step-by-step explanation:

Answer:

x = 11 ; y =13

Step-by-step explanation:

3x - 2 y = 7    -------------(I)

        y = x + 2  -----------(II)

Substitute y = x + 2 in equation (I)

3x - 2(x + 2) = 7

3x - 2*x + 2*(-2) = 7

3x - 2x - 4 = 7

      x - 4 = 7

           x = 7 + 4

x = 11

Plugin x = 11 in equation(II)

y = 11 + 2

y = 13

Sorry for the wait.....

Hope this helps and Happy Halloween!!!!

The effective rate for a payday loan is 3.21%.

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.

Given:

Amount Financial = 430

Financial Charge= 53.29

Term of loan= 14 days

So, the effective rate will be

= (53.29/430 ) x 365

= 45.2345

and, =45.2345/14

= 3.21

Hence, the effective rate is 3.21%.

Learn more about interest here:

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