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3 years ago

Hi guys, I need help on this practice anyone willing to help; list of things to do

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

5 0

Answer:

B. y = x - 2

Step-by-step explanation:

The sale price (y) is $2 less than the original price (x - 2).

To test this out, if a book's original price is $10..

x = 10

Using y = x - 2 and to test out if it works, we'll plug in x = 10 to discover y.

y = 10 - 2

y = 8

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In ΔBCD, the measure of ∠D=90°, the measure of ∠C=77°, and CD = 41 feet. Find the length of BC to the nearest foot.

OLga [1]

Answer:

182 ft

Step-by-step explanation:

When you are not given a diagram, always draw one for yourself (see diagram).

When you have a right triangle (triangle with 90° angle), you can use the trigonometry ratios, You can remember them using SohCahToa. It is read like this:

sinθ = opposite/hypotenuse Soh

cosθ = adjacent/hypotenuse Cah

tanθ = opposite/adjacent Toa

"θ" means the angle of reference (the angle you are talking about).

We are looking for the length of BC, which is the hypotenuse. I labelled it "d" (lowercase D) because it is opposite to ∠D.

We know ∠C = 77°. This will be our angle of reference (replace θ).

The side we know is DC, also known as "b" (lowercase B) because it's opposite to ∠B. "b" is the adjacent side when θ = C because "b" is touching ∠C.

Take the general trig. formula that has hypotenuse and adjacent: (cosine ratio)

cosθ = adjacent/hypotenuse

Substitute the variables specific for this problem.

cosC = b/d

Substitute the values you know.

cos77° = (41 ft) / d

Isolate "d" to the left side

dcos77° = $d*\frac{41ft}{d}$ Multiply both sides by "d"

dcos77° = 41 ft

dcos77° / cos77° = 41 ft / cos77° Divide both sides by cos77°

d = 41 ft / cos77° Input into calculator

d = 182.261874....... ft Unrounded answer

d ≈ 182 ft Rounded to nearest foot (whole number)

Remember d = BC. It's often easier to use one letter for calculations.

Therefore the length of BC is about 182 feet.

8 0

3 years ago

Help, i'll give a brainliest

Valentin [98]

Answer:

The equation is y=2x + 2

Step-by-step explanation:

4x+2y=7

2y=-4x+7

y=-2x+7/2

Hence, the gradient =-2

Note that: parallel lines share the same gradient

sub m(gradient)=-2 and the point (1,0) into y=mx+c

0=-2(1)+c

c=2

Therefore, the equation in the form of y=mx+c is y=-2x+2

8 0

3 years ago

A line passes through the origin and has a slope of -3 what is the equation of the line that is perpendicular to the first line

Marianna [84]

Answer: $y=\frac{1}{3}x+3$

Step-by-step explanation:

The equation of the line is Slope-intercept form is:

$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

The slopes of perpendicular lines are negative reciprocal.

Then, if the slope of the first line is -3, the slope of the other line must be:

$m=\frac{1}{3}$

Substitute the point (3,4) into the equation and solve for b:

$4=\frac{1}{3}(3)+b\\ 4-1=b\\b=3$

Then the equation of this line is:

$y=\frac{1}{3}x+3$

3 0

3 years ago

Read 2 more answers

What is the minimum value of 2x + 2y in the feasible region? (0,7) (3,7) (6,3) (6,0)

topjm [15]

Graph the feasible region for the following constraints: x + y < 5. 2x + y > 4 ... y = 10/3. x = 30/3 - 10/3 = 20/3. Intersects at (20/3, 10/3). -x + 2y = 0. x - 2y = 0.
hence i would go for
(6,3)

8 0

3 years ago

1/2b+9/4=7/4 solve the equation

AlladinOne [14]

First subtract 9/4 from each side

1/2b=-2/4

Simplify the 2/4

1/2b=-1/2

Divide each side by 1/2

b = -1

4 0

3 years ago