Three times the result of subtracting three from eight

Write an equation to show that Y is directly proportional to x using the constant of proportionality given. Then solve for the u

olga55 [171]

Answer:

y = 2 $\frac{5}{11}$

Step-by-step explanation:

y ∝ kx

y = $\frac{3}{11}$ × 9 = $2\frac{5}{11}$

8 0

3 years ago

Solve y=(x-1)^ +4

Dimas [21]

Answer:

,nm

Step-by-step explanation:

3 0

2 years ago

In ΔEFG, the measure of ∠G=90°, FG = 1.5 feet, and EF = 7.5 feet. Find the measure of ∠F to the nearest degree.

fomenos

Answer:

78°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between angles and sides of a right triangle. In particular, ...

Cos = Adjacent/Hypotenuse

cos(F) = FG/FE = 1.5/7.5 = 0.2

The inverse cosine function is used to find the angle:

∠F = arccos(0.2)

∠F ≈ 78°

8 0

2 years ago

Read 2 more answers

Using algebra, find the point at which the line k(x) = 5x - 1 intersects with the line h(x) = -3x - 1 ?

vichka [17]

The point at which the lines k(x) = 5x - 1 and h(x) = -3x - 1 meet is (0, -1)

Given: k(x) = 5x - 1, h(x) = -3x - 1

We need to find the point(if any) at which these two lines k and h meets.

To find point of intersection(if any), we need to set the functions equal as at the point of intersection the (x, y) value will be same for both of the lines.

Therefore, k(x) = h(x)

=> 5x - 1 = -3x - 1

=> 8x = 0

=> x = 0

k(x=0) = 5 * 0 - 1 = -1

Hence the point at which the lines k(x) = 5x - 1 and h(x) = -3x - 1 meet is (0, -1)

Know more about "point of intersection" problems here: brainly.com/question/16929168

#SPJ1

8 0

1 year ago

Select the correct answer from the drop down menu. with references to the figure, sin x =

Lubov Fominskaja [6]

Answer:

.894

Step-by-step explanation:

First thing to do is to solve for the height of the triangle, BD. That's easy. We have the length of the hypotenuse and the base, so Pythagorean's Theorem gives us that the height is 8.003255588 which rounds nicely to 8. Now you have to call on the fond memories you have of the geometric mean in right triangles to solve the rest. For the sin of x you need the hypotenuse of that smaller right triangle on the left, side AB. First let's use geometric mean to find AD. The formula for that, now that we know the height, is

$BD^2=(AD)(DC)$

Filling that in with numbers we have

$8^2=(AD)16$ and

64 = 16(AD). Solve for AD to get that AD has a length of 4. Now we know two of the three sides in that smaller triangle on the left and can solve for the hypotenuse.

$8^2+4^2=c^2$ and

$64+16=c^2$ so

c=√80 which simplifies to 4√5. That means that the sin ratio for x is

$\frac{8}{4\sqrt{5} }$

which divides out to .894

6 0

3 years ago