1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ratelena [41]
8 months ago
13

A line passes through the point (4, -3) and has a slope of -5/2

Mathematics
1 answer:
goldenfox [79]8 months ago
6 0

The equation of a line in slope-intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=-5/2

point (4,-3)

substitute in the expression above

-3=-(5/2)(4)+b

solve for b

-3=-10+b

b=10-3

b=7

therefore

the equation of the line is

<h2>y=-(5/2)x+7</h2>
You might be interested in
What is the answer to this
lianna [129]

Answer:

Hi

Step-by-step explanation:

v = \pi \: d \\  \\ v = 14 \times \pi = 14\pi \: cm

in this formula

d is diameter

v is circumference

because the question asked the answer in terms of pi so we write the pi its self

hope this help you

god bless you and us

7 0
2 years ago
Simplify the following: <br> 8h – 4g + 5g + 2h
Talja [164]

8h - 4g + 5g + 2h \\  \\ (8h + 2h) -(4g - 5g) \\  \\ 10h - ( - g) \\  \\ 10h + g
5 0
3 years ago
PLEASE HELP ME WITH THIS QUESTION ITS URGENT!!!
Alex Ar [27]

Start by distributing the exponent to each of the terms in (2u)^{3}.  This will become 2^{3} u^{3}, and 2^{3} =8.  Now, the expression is:

\frac{2u^{3} v^{2} }{8u^{3} * u^{2} }.


We can now simplify the bottom to read: 8u^{5} because when multiplying variables raised to an exponent, we add the exponents.  The expression now looks like:

\frac{2u^{3} v^{2} }{8u^{5} }


The 2/8 simplifies to 1/4:

\frac{u^{3} v^{2} }{4u^{5} }


Now, we have two u terms on the top and bottom.  When dividing variables raised to an exponent, we subtract the exponents.  However, since 3-5=-2, the term will be on the bottom to avoid the negative exponent.  The final answer is:

\frac{v^{2} }{4u^{2} }


Hope this makes sense!!


4 0
3 years ago
Find the distance between P1(4,16degrees) and P2(-2,177degrees) on the polar plane.
bazaltina [42]
Polar coordinates give the distance from the origin and the angle from the positive x axis. Cartesian coordinates give the distance from the x and y axes.

You can draw a right triangle with these values. (see attached)
If you know the r value and theta of that triangle below, you can use trig to find x and y.

Let's convert (4, 16°) to Cartesian coordinates.

Note that since our angle is acute, (in Quadrant I) our sine and cosine will both be positive, as you should be able to derive from the unit circle, where cosine is represented as an x value and sine is represented as a y value.

cosine = adjacent / hypotenuse
cosθ = x/r
cos(16°) = x/4
4cos(16°) = x ≈ 3.84504678375

sine = oppsite / hypotenuse
sinθ = y/r
sin(16°) = y/4
4sin(16°) = y ≈ 1.10254942327<span>

So (4, 16°) </span>⇒ (3.84504678375, 1.10254942327).

Let's convert (-2, 177°)  to Cartesian coordinates.
Whenever you have a negative radius, that means to put the point opposite where it would have been if it had a positive radius. (see attached)

In that case, we can essentially add 180° to our current 177° to the same effect. That means that (-2, 177°) = (2, 357°).

Note that since our angle is in Quadrant IV, our cosine will be positive, but our sine will be negative. (as derived from the unit circle) We don't have to worry about this since our calculator figures this for us, but you should pay attention to it if you are converting from Cartesian to polar.

cosine = adjacent / hypotenuse
cosθ = x/r
cos(357°) = x/2
2cos(357°) = x ≈ 1.99725906951

sine = opposite / hypotenuse
sinθ = y/r
sin(357°) = y/2
2sin(357°) = y ≈ -0.10467191248

So (-2, 177°) ⇒ (1.99725906951, -0.10467191248).

Now we must use the distance formula with our two points.
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
d\approx\sqrt{(1.99725906951-3.84504678375)^2+(-0.10467191248-1.10254942327)^2}
d\approx\sqrt{-1.84778771^2+-1.20722134^2}
d\approx\sqrt{3.41431942+1.45738336}
d\approx\sqrt{4.87170278}
\boxed{d\approx2.20719342}

7 0
2 years ago
The London theater offers child tickets at 10$each and adult tickets at 20$ each.Mrs burham buys 34 tickets at a total cost of 5
kirill115 [55]

Answer:

A+C=34

10C+20A=570

4 0
2 years ago
Other questions:
  • Part 2: The Zombie Assassin
    12·1 answer
  • How do you graph y=-3|x-3|+1
    8·1 answer
  • The formula C=5/9 (F-32) can be used to convert a temperature from degress Fahrenheit to degress Celsius.
    11·1 answer
  • What is the distributive property of the equation 5b plus 7b plus 10
    13·1 answer
  • Solve equation: 12x + 8 = 104
    10·2 answers
  • The combined ages of a dog and his owner are 96 years in total. The owner is 3 times older than his dog. How old is the owner?
    10·1 answer
  • Pablo's Gourmet Pretzel Shop specializes in selling the very finest chocolate covered pretzels. Rico bought 4 white chocolate pr
    14·1 answer
  • 3. Is XY Tangent to circle Z?<br> Y<br> 12 X<br> (20<br> Z<br> 18
    15·1 answer
  • I need help and quick its due at 3:15
    6·1 answer
  • In right triangle ABC, a = 7, b = 9 and
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!