Find the slope of the line that contains the following pair
of points:
(-4, 1) and (2, 5).

Answer:

the answer is obtuse. B. I hope this helps you!

Answer:

it is obtuse

Step-by-step explanation:

Answer:

29. b. 20

30. c. any real numbers

Step-by-step explanation:

I used a calculator let me know if im incorrect

Answer:

(5, -3)

Step-by-step explanation:

Answer:

8+h3-4

Step-by-step explanation:

10(h+2)−2h when h = 9.

The relation between the expression at h = 9 will be;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The expressions are,

⇒ 7 + h² - 5

⇒ 10 (h + 2) - 2h

Now,

Solve the expression for h = 9 and find the relation between them as;

Since, The expressions are,

⇒ 7 + h² - 5    ...(i)

⇒ 10 (h + 2) - 2h       ...(ii)

Substitute h = 9 in (i), we get;

⇒ 7 + h² - 5 = 7 + 9² - 5

                  = 7 + 81 - 5

                  = 83

And, Substitute h = 9 in (ii), we get;

⇒ 10 (h + 2) - 2h = 10 (9 + 2) - 2 x 9

                         = 10 x 11 - 18

                         = 110 - 18

                         = 92

Thus, We get;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

Therefore, The relation between the expression at h = 9 will be;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

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Answer:

B. y + 7 = -6/5 (x+3)

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula  y − y 1 = m ( x − x 1 ) .

Slope-intercept form:  y = − 6 /5 x − 53 /5

Point-slope form:  y + 7 = − 6 /5 ⋅ ( x + 3 )

Answer:

Because 8 hours to drain 80% would mean it takes 10 hours to completely drain the pool leaving the 2 hours to drain.

Step-by-step explanation:

Answer:

305

Step-by-step explanation:

sorry!

Answer:

hope this helps and u understood it

check the steps in the picture attached

Answer:

(-2,17) i think i am not sure

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

The slope of the the solving equation is triple the slope of the given equation. Therefore, the y coefficient must also be triple of the other y coefficient.

Answer:

d

Step-by-step explanation:

because you flip the numerator and denominator so the you'd get 8 4/1

Answer:

I thought it would be A

Step-by-step explanation:

because if you make 8 1/4 an improper fraction, it becomes 33/4.

the reciprocal of 33/4 is 4/33

Using a system of equation, the amount in pounds of chocolate required is 4

Let :

Hence, we can create an equation thus :

0.45c + 6(1) = 0.78(6 + c)

0.45c + 6 = 4.68 + 0.78c

Collect like terms

6 - 4.68 = 0.78c - 0.45c

1.32 = 0.33c

Divide both sides by 0.33

c = 1.32 / 0.33

c = 4

Hence, 4 pounds of chocolate is required.

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Answer:

$3.10

Step-by-step explanation:

Money earned by mowing 5 lawns (income) = $4.70 x 5 = $23.50

Cost of filling 3 tanks (expenditure) = $6.80 x 3 = $20.40

Profit = income - expenditure

         = $23.50 -  $20.40

        = $3.10

Answer:

Step-by-step explanation:

Slope: -3

y-intercept: -2 (y-intercept is where a line cross the y-axis, vertical line)

Pencil on the y-intercept, three down and one to the right, then trace the line from -2 on the y-axis.

Answer: The answer would be C, 1/3

Step-by-step explanation:

If you turn each proportion into a fraction and simplify each fraction, they would all simplify to 1/3. Hope this helps.

Answer: B should be the answer

hope it helps :]

Answer:

Step-by-step explanation:

Cup of coffee has milk content:

The mixture after adding milk has:

Percentage of milk in the mixture:

Answer:

b=-5, m= - 3/-2

Step-by-step explanation:

Slope equation is y=mx+b. Slope is finding the rise(vertical change) over run(horizontal change). In this case, -3 is our negative rise and 2 is our run. Put that into fraction form, we get negative 3/2. In the slope equation, b represents the y-intercept(where the line touches the y-axis). In this case, it is -5. Hope this helps you!

96 = 2 × 2 × 2 × 2 × 2 × 3 = 25 × 31, where 2 and 3 are the prime numbers. brainliest me pls

#Chloe919

#brainliest me

thanks for the points

Answer:  2^5 · 3

Step-by-step explanation: Prime Factorization refers to finding which prime numbers multiply together to form the original number. The prime factors of 96 thus obtained are written as 96 = 2 × 2 × 2 × 2 × 2 ×

Answer:

Step-by-step explanation:

266 divided by 7 is 38 laps a day

Answer:

Some of the graph's coordinates are:

(-2, 1/2)

(-1, 1)

(0, 2)

(1, 4)

Step-by-step explanation:

Answers:

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

Explanation:

1)

For any vertical line, the slope is always undefined. Recall that slope = rise/run. For a vertical line, the run is 0 because there is no left or right movement. This leads to a division by zero error. The vertical line is also parallel to the y axis, meaning that there isn't a y intercept whenever the line isn't directly on top of the y axis.

The equation of this vertical line is x = 3 as all points on this line have the same x coordinate of 3.

-----------------------

2)

We can use the slope formula for the points [tex](x_1,y_1) = (-1,-4) \ \text{ and } \ (x_2,y_2) = (3,4)[/tex]

So,

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-4)}{3-(-1)}\\\\m = \frac{4+4}{3+1}\\\\m = \frac{8}{4}\\\\m = 2\\\\[/tex]

The slope is 2.

The y intercept is -2 as this is the location where the diagonal line crosses the y axis.

The equation of this line is y = 2x-2.

-----------------------

3)

Same idea as problem 2.

[tex](x_1,y_1) = (-2,3)\\\\(x_2,y_2) = (3,-2)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-2-3}{3-(-2)}\\\\m = \frac{-2-3}{3+2}\\\\m = \frac{-5}{5}\\\\m = -1\\\\[/tex]

The slope is -1.

The y intercept is 1 because the line cuts through 1 on the y axis.

The equation is y = -1x+1 which is the same as y = -x+1.

-----------------------

4)

Pick any two points from the table. Each column represents a different (x,y) ordered pair point. Those two points selected are then plugged into the slope formula. I'll pick the first two columns.

[tex](x_1,y_1) = (1,-2)\\\\(x_2,y_2) = (2,-2)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-2-(-2)}{2-1}\\\\m = \frac{-2+2}{2-1}\\\\m = \frac{0}{1}\\\\m = 0\\\\[/tex]

Notice how the y coordinates are the same, which leads to a difference of 0 up top and ultimately the slope itself is also 0. We have a horizontal flat line here. All horizontal lines have a slope of 0.

The y intercept is -2 because all y values for this function are the same.

The equation is y = 0x-2 which is the same as y = -2.

-----------------------

5)

Again I'll pick the first two columns to plug into the slope formula, but you can pick any two columns you prefer.

[tex](x_1,y_1) = (-3,11)\\\\(x_2,y_2) = (-1,3)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{3-11}{-1-(-3)}\\\\m = \frac{3-11}{-1+3}\\\\m = \frac{-8}{2}\\\\m = -4\\\\[/tex]

The slope is -4.

Use this slope value, along with any column from the table to form the (x,y) point, to plug into the slope intercept form below. I'll use the first column

y = mx+b

11 = -4*(-3)+b

11 = 12+b

11-12 = b

-1 = b

b = -1

The y intercept is -1.

The equation is y = -4x-1.

If you project S onto the (x,y)-plane, it casts a "shadow" corresponding to the trapezoidal region

T = {(x,y) : 0 ≤ x ≤ 10 - y and -4 ≤ y ≤ 4}

Let z = f(x, y) = √(16 - y²) and z = g(x, y) = -√(16 - y²), each referring to one half of the cylinder to either side of the plane z = 0.

The surface element for the "positive" half is

dS = √(1 + (∂f/∂x)² + (∂f/dy)²) dx dy

dS = √(1 + 0 + 4y²/(16 - y²)) dx dy

dS = √((16 + 3y²)/(16 - y²)) dx dy

The the surface integral along this half is

[tex]\displaystyle \iint_T xz \,dS = \int_{-4}^4 \int_0^{10-y} x \sqrt{16-y^2} \sqrt{\frac{16+3y^2}{16-y^2}} \, dx \, dy[/tex]

[tex]\displaystyle \iint_T xz \,dS = \int_{-4}^4 \int_0^{10-y} x \sqrt{16+3y^2}\, dx \, dy[/tex]

[tex]\displaystyle \iint_T xz \,dS = \frac12 \int_{-4}^4 (10-y)^2 \sqrt{16+3y^2} \, dy[/tex]

[tex]\displaystyle \iint_T xz \,dS = 416\pi[/tex]

You'll find that the integral over the "negative" half has the same value, but multiplied by -1. Then the overall surface integral is 0.

Step-by-step explanation:

Cash Price = $442

installments of $20 for 24 months = $480

in the end, he would be paying $38 dollars more.

Answer:

It would make 7 batches of chocolate cake

The question is an illustration of unit conversion

10 hands is equivalent to 6.5 heads

The given parameters are:

[tex]\mathbf{6\ hands = 2\ feet}[/tex]

[tex]\mathbf{3\ feet= 7\ arms}[/tex]

[tex]\mathbf{3\ arms= 2.5\ heads}[/tex]

Divide both sides of [tex]\mathbf{6\ hands = 2\ feet}[/tex] by 2

[tex]\mathbf{3\ hands = 1\ feet}[/tex]

Multiply both sides by 3

[tex]\mathbf{3 \times 3\ hands = 3 \times 1\ feet}[/tex]

[tex]\mathbf{9\ hands = 3\ feet}[/tex]

Recall that:

[tex]\mathbf{3\ feet= 7\ arms}[/tex]

Substitute 7 arms for 3 feet

[tex]\mathbf{9\ hands = 7\ arms}[/tex]

Divide both sides by 7

[tex]\mathbf{\frac{9\ hands}{7} = \frac{7\ arms}{7}}[/tex]

[tex]\mathbf{\frac{9\ hands}{7} = 1\ arm}[/tex]

Multiply both sides by 3

[tex]\mathbf{\frac{9\ hands}{7} \times 3= 1\ arm \times 3}[/tex]

[tex]\mathbf{\frac{27\ hands}{7}= 3\ arms}[/tex]

Recall that: [tex]\mathbf{3\ arms= 2.5\ heads}[/tex]

So, we have:

[tex]\mathbf{\frac{27\ hands}{7}= 2.5\ heads}[/tex]

Multiply both sides by 7

[tex]\mathbf{27\ hands= 17.5\ heads}[/tex]

Divide both sides by 27

[tex]\mathbf{1\ hands= \frac{17.5}{27}\ heads}[/tex]

Multiply both sides by 10

[tex]\mathbf{10 \times 1\ hands= 10 \times \frac{17.5}{27}\ heads}[/tex]

[tex]\mathbf{10 \times 1\ hands= \frac{175}{27}\ heads}[/tex]

[tex]\mathbf{10\ hands= \frac{175}{27}\ heads}[/tex]

[tex]\mathbf{10\ hands= 6.5\ heads}[/tex]

Hence, 10 hands is 6.5 heads

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Answer:

$85

Step-by-step explanation:

(if you need to explain how the anwer was gotten)

34 ÷ 4 = 8.5

8.5 × 10 = 85

Answer:

She will spend 2.66 dollars

Step-by-step explanation:

Answer:

she would spend $7.52

Step-by-step explanation:

Answer: Use SoupCalculator I have the answer I just dont want you to get it wrong

Answer:

[tex] \frac{x^{2} + 19x - 56}{4 {x}^{2} - 32x} [/tex]

Step-by-step explanation:

Start by making the denominators of both fraction the same. This can be done by multiplying one fraction's denominator by the other.

After simplifying and combining the two fractions together, check if the numerator can be factorised such that there is a common factor in the denominator and numerator. In this case, the numerator cannot be factorised.

Lastly, expand the denominator.

[tex] \frac{x + 7}{4x} + \frac{5}{x - 8} [/tex]

[tex] = \frac{(x + 7)(x - 8)}{4x(x - 8)} + \frac{5(4x)}{4x(x - 8)} [/tex]

[tex] = \frac{x(x) + x( - 8) + 7(x) + 7( - 8) + 20x}{4x(x - 8)} [/tex]

[tex] = \frac{ {x}^{2} - 8x + 7x - 56 + 20x }{4x(x - 8)} [/tex]

[tex] = \frac{ {x}^{2} + 19x - 56}{4x(x - 8)} [/tex]

[tex] = \frac{ {x}^{2} + 19x - 56}{4 {x}^{2} - 32x} [/tex]