Find the slope of the line given the following points on the line:

(1, 5) and (2, 8)

Answer:

The biggest number usable is 34

Step-by-step explanation:

x + (1/2 x + 8)  ≤  59            Remove the brackets

x + 0.5x + 8 ≤ 59                Combine

1.5x + 8 ≤ 59                        Subtract 8

1.5x  ≤ 59 - 8                        Combine

1.5x ≤ 51                               Divide by 1.5

1.5x/1.5 ≤ 51/1.5

x ≤ 34  

Answer : 2

Step-by-step explanation:

Slope is a ratio, Slope = rise/run. This can also be described as "the change in Y" / "The change in X"

So, using the table, find the rate of change in the y-values and the x-values.

y = mx + b

slope : m

x=-7, y=2 : -7m + b = 2 (1)

x=-6, y=4 : -6m + b = 4 (2)

(2)-(1) => m= 2

Answer:

y = -2/3x + 2

have a good day :3

Step-by-step explanation:

we need to bring it into the form

y = ax + b

so,

2x + 3y = 6

3y = -2x + 6

y = (-2/3)x + 2

the slope is the factor of x (-2/3). the y-intercept is 2 (meaning y = 2 for x = 0).

Answer:

I love this question ,but sorry I didn't get the answer because I don't know how to answer.

Using the information given in the table, the number of weeks that would pass before more dogs would have to be washed is 16 weeks.

Given the Parameters :

Recall :

Profit made per week = $124 - $8 = $116

Total amount of profit made :

. Total profit made = $116 × 8 = $928

Total amount owned = $928 + $32 = $960

Number of weeks before total amount owned is expended can be calculated thus :

Number of weeks = ($960 ÷ $60) = 16

Hence, 16 weeks will pass before more dogs would have to be washed.

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Answer:

y=-9x-10

Step-by-step explanation:

First, start by putting the first equation into slope intercept form:

y=-9x+5

We know that in the standard slope intercept formula (y=mx+b), m is the slope and b is the y intercept. Thus, line with the same slope as the one above would have a slope of -9.

To have the same y intercept as y=-8x-10, the y intercept would have to be -10.

Therefore, the formula would be y=-9x-10

Answer:

y = - 6/5x + 8/9

Step-by-step explanation:

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following equations:

Equation 1:

By definition, if two lines are perpendicular then the product of their slopes is -1:

Equation 2:

Finally, the requested equation is:

The result after simplifying the expression is [tex]\frac{12}{x^2-2x-8}[/tex]

Given the difference of function expressed as:

[tex]\frac{x^2-3x+2}{x^2-5x+4} -\frac{x^2+10x+24}{x^2+8x+12} \\[/tex]

Factorize the quadratic equations:

[tex]=\frac{x^2-2x-x+2}{x^2-4x-x+4} -\frac{x^2+4x+6x+24}{x^2+6x+2x+12} \\=\frac{x(x-2)-1(x-2)}{x(x-4)-1(x-4)} -\frac{x(x+4)+6(x+4)}{x(x+6)+2(x+6)}\\=\frac{(x-1)(x-2)}{(x-1(x-4)} -\frac{(x+6)(x+4)}{(x+2)(x+6)}[/tex]

Cancel out the common terms:

[tex]\frac{(x-2)}{(x-4)} -\frac{(x+4)}{(x+2)}[/tex]

Find the LCM of the resulting expression

[tex]=\frac{(x-2)}{(x-4)} -\frac{(x+4)}{(x+2)}\\=\frac{(x+2)(x-2)-[(x-4)(x+4)]}{(x-4)(x+2)} \\=\frac{x^2-4-(x^2-16)}{(x-4)(x+2)} \\=\frac{x^2-4-x^2+16}{(x^2+2x-4x-8)}\\=\frac{12}{x^2-2x-8}[/tex]

Hence the result after simplifying the expression is [tex]\frac{12}{x^2-2x-8}[/tex]

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[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{775(1.47)(8)}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{9114}{100}[/tex]

[tex]\\ \sf\longmapsto I=91.14[/tex]

Answer:

91.14  $

Step-by-step explanation:

We know,

Interest = Principle× Rate of Interest× Time

or, 775× 1.47/100× 8

or, 91.14

Therefore, Interest is 91.14 $.

It's on the picture......................

Answer:

0.667 or 2/3

Step-by-step explanation:

Hope it helps!

Answer:

the answer to the first question is B.

Step-by-step explanation:

Answer: (3a + 2) • (4a2 - 2a + 9)

(no solution)

Step-by-step explanation:

Step by Step Solution

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STEP

1

:

Equation at the end of step 1

 (3a + 2) • ((22a2 -  2a) +  9)

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  4a2-2a+9

The first term is,  4a2  its coefficient is  4 .

The middle term is,  -2a  its coefficient is  -2 .

The last term, "the constant", is  +9

Step-1 : Multiply the coefficient of the first term by the constant   4 • 9 = 36

Step-2 : Find two factors of  36  whose sum equals the coefficient of the middle term, which is   -2 .

     -36    +    -1    =    -37

     -18    +    -2    =    -20

     -12    +    -3    =    -15

     -9    +    -4    =    -13

     -6    +    -6    =    -12

     -4    +    -9    =    -13

For tidiness, printing of 12 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 (3a + 2) • (4a2 - 2a + 9)

Answer:

Option B. -4

Step-by-step explanation:

-12 x (1/3)

=> -12 ÷ 3

=> -4

Therefore, -4 is our answer.

Hoped this helped.

Answer:

a

Step-by-step explanation:

it goes 2,4,6,8

and then 8,6,4,2, which is the same thing backwards

Hope this helps!!!! Mark me brainiest!!!!

Answer:

hi sorry its 60 inces

Step-by-step explanation:

Answer:

{-1,7}

Step-by-step explanation:

1/2 | 5x-15| = 10

Multiply each side by 2

1/2 *2 | 5x-15| = 10*2

| 5x-15| = 20

Absolute value equations have two solutions, one positive and one negative

5x-15 = 20     5x-15 = -20

Add 15 to all sides

5x-15+15 = 20+15          5x-15 +15 = -20+15

5x= 35                                   5x=-5

Divide by 5

5x/5 = 35/5                              5x/5 = -5/5

x=7                                                   x=-1

Answer:

C

Step-by-step explanation:

[tex]Sin \ 64 = \dfrac{opposite \ side}{hypotenuse}\\\\0.8988 = \dfrac{x}{14}\\\\0.8988 * 14 = x[/tex]

x = 12.5832

x = 12.6

Answer:

-1/4(5x+3)

-(5/4x+3/4)

Step-by-step explanation:

Hope this helps!

Answer:

222222222222222222

Step-by-step explanation:

9514 1404 393

Answer:

  x = 12

  perimeter = 124

Step-by-step explanation:

The midline RS is half the length of MN, so we have ...

  2×RS = MN

  2(x +3) = 5x -30

  2x +6 = 5x -30

  36 = 3x . . . . . . . . . add 30-2x

  12 = x . . . . . . . . . . divide by 3

__

The length RS is then ...

  RS = x +3 = 15

and the perimeter of QRS is ...

  P(QRS) = QR +RS +SQ = 25 +15 +22 = 62

The perimeter of QRS is half the perimeter of MNP, so ...

  P(MNP) = 2×P(QRS) = 2×62 = 124

The perimeter of ΔMNP = 124.

Answer:

y = 1/2x - 2

Step-by-step explanation:

Slope: 1/2

Point: (0, -2)

y-intercept: -2 - (1/2)(0) = -2

Answer: 3 and a half acres.

Explanation: 7 divided by 2 is 3 and a half acres.

Answer:

0

Step-by-step explanation:

→ State the slope formula

( y₂ - y₁ ) ÷ ( x₂ - x₁ )

→ State each value

x₁ = 3, y₁ = 18, x₂ = 0 and y₂ = 18

→ Substitute in each value into the formula

( 18 - 18 ) ÷ ( 0 - 3 )

→ Simplify

0

Answer:

  A: 2 1/2 ft^2/h

  B: 3 1/3 ft^2/h

  B has the greater rate

Step-by-step explanation:

The rate in square feet per hour is found by dividing square feet by hours.

Machine A:

  (5/8 ft^2) ÷ (1/4 h) = (5/8)×(4/1) ft^2/h = 5/2 ft^2/h = 2 1/2 ft²/h

Machine B:

  (2/3 ft^2) ÷ (1/5 h) = (2/3)×(5/1) ft^2/h = 10/3 ft²/h = 3 1/3 ft²/h

Machine B has the greater rate.

Answer: According to the diagram below, which similarity statements are true? Check all that apply.

Step-by-step explanation: ✓ Answer: A, C, and D Step-by-step explanation:3.5.3 test

The solution is,

ACDB = 3 cm²

AAMC = 6 cm²

AABD = 6 cm²

AADC = 3 cm²

AABC = 12 cm²

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

here, we have,

A median divides the area of a triangle into two equal parts. The first median, CM, divides triangle ABC into two equal areas, AMC and BMC. The second median, BD, divides triangle BMC into two equal areas, BMD and CDB.

We're given that ABMD = 3 cm², so ACDB is also 3 cm². The sum of those two areas is ABMC, which is also AAMC, 6 cm².

Median AD also divides ΔAMC in half, so AADC = 3 cm² and AADM = 3 cm². AABD is the sum of ABMD (3 cm²) and AADM (3 cm²) so is 6 cm².

AABC is the sum of the smaller areas, so is 12 cm².

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Answer:

7i and 3i

hope this helps <33

Answer:

Step-by-step explanation:

Use foil method

(10 - 3i) (2 -5i) = 10*2 + 10*(-5i)  +  (-3i)*2 + (-3i)*(-5i)

   = 20 - 50i -6i + 15i²

   = 20 - 50i - 6i + 15*(-1)             {i² = -1}

   = 20  - 50i - 6i - 15

   = 20 - 15 - 50i - 6i

   = 5 - 56i