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3 years ago

Find the equation of the line parallel to y=2x+6 passing through (4,5)

Mathematics

1 answer:

ozzi3 years ago

3 0

Answer:

y=2x-3

when two lines are parallel, they have the same slope.

in the formula y=mx+b, m=slope of the line

we know 2 will be the slope for the line passing through (4,5)

next plug in (4,5) into the formula with 2 as the slope

4=x 5=y

next 5=2(4)+b

and you end up with

y=2x-3 when you simplify

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Hello, I need help with this question.

ella [17]

Answer:

The answer would be 22/12 or 1 and 11/12

Step-by-step explanation:

1/2+2/3+3/4

First get common denominators so you have a denominator of 12 so 6/12+8/12+9/12

Add those together and you get 23/12 but you have to subtract one because that's what the problem says so you get 22/12

4 0

3 years ago

Read 2 more answers

The diameter of a circle measures 28 mm. What is the circumference of the circle?

Papessa [141]

Answer:

C = 87.92 mm

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Circumference Formula: C = πd

C is circumference
d is diameter

Step-by-step explanation:

Step 1: Define

Diameter d = 28 mm

Step 2: Solve

Substitute in variables [Circumference Formula]: C = 3.14(28 mm)
[Circumference] Multiply: C = 87.92 mm

8 0

3 years ago

Set up a double integral for calculating the flux of the vector field ????⃗ (????⃗ )=????⃗ , where ????⃗ =⟨x,y,z⟩, through the p

Tema [17]

Answer:

-937.5π

Step-by-step explanation:

F (r) = r = (x, y, z) the surface equation z = 3(x^2 + y^2) z_x = 6x, z_y = 6y the normal vector n = (- z_x, - z_y, 1) = (- 6x, - 6y, 1)

Thus, flux ∫∫s F · dS is given as;

∫∫ <x, y, z> · <-z_x, -z_y, 1> dA

=∫∫ <x, y, 3x² + 3y²> · <-6x, -6y, 1>dA , since z = 3x² + 3y²

Thus, flux is;

= ∫∫ -3(x² + y²) dA.

Since the region of integration is bounded by x² + y² = 25, let's convert to polar coordinates as follows:

∫(θ = 0 to 2π) ∫(r = 0 to 5) -3r² (r·dr·dθ)

= 2π ∫(r = 0 to 5) -3r³ dr

= -(6/4)πr^4 {for r = 0 to 5}

= -(6/4)5⁴π - (6/4)0⁴π

= -937.5π

4 0

4 years ago

A gardener measures every plant in her garden and notes that 28% are under 6 inches, 54% are between six and 8 inches and the re

Masteriza [31]

Answer:

The vertical axis should begin with 0 inches.

Step-by-step explanation:

The vertical axis must start with 0 inches to ensure accuracy for the measures of every plant since 28% of the plants in the garden are under 6 inches.

If the vertical axis begins with 6 inches or above, we can miss a lot of the gardener's data, especially the plants which are under 6 inches.

Therefore, to ensure that the graph does not mislead any measures of the plant, the vertical axis must begin with 0 inches.

3 0

3 years ago

Read 2 more answers

A sample of blood pressure measurements is taken from a data set and those values (mm Hg) are listed below. The values are matc

swat32

Answer:

Step-by-step explanation:

Systolic. Calculate the mean

118+128+158+96+156+122+116+136+126+120+

=1276÷10 = 127.6.

To calculate the median arrange the values from the lowest to the highest.

96,116,118,120,122,126,128,136,156,158.

122+126+2=124.

Disastolic

80+76+74+52+90+88+58+64+72+82= 736÷10=73.6

To calculate the median arrange the values from the lowest to the highest.

52,58,64,72,74,76,80,82,88,90

Median= 74+76=150÷2=75.

Comparison

The Systolic and diastolic blood pressure measures different things, so comparing them is of no use.

It will be good if the relationship between the blood pressure can be investigated because the data are in pairs.

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3 years ago