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
Korvikt [17]
2 years ago
10

How do you solve it?

Mathematics
1 answer:
Elis [28]2 years ago
7 0

At heart we're being asked for a line through two points,


(40^\circ \textrm{ C}, 355 \textrm { m/s}) \quad \textrm{and} \quad (49^\circ \textrm{ C}, 360 \textrm { m/s})


In general the line through (a,b) and (c,d) is


(y-b)(c-a)=(x-a)(d-b)


Check that you understand why both (a,b) and (c,d) are on this line.


Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,


(v - 355)(49 - 40) = (T - 40)(360 - 355)


9(v - 355) = 5(T - 40)


v-355 = \frac 5 9 T - \frac{200}{9}


v= \frac 5 9 T - \frac{200}{9} + 355


v= \frac 5 9 T + \frac{2995}{9}


That's our answer; let's check it.


When T=40, v = (5/9)40 + (2995/9) = 355 good


When T=49, v= (5/9)49 + (2995/9) = 360 good




You might be interested in
?!!! I need help please
saveliy_v [14]

The answer is a, -40 + 7 = -33

5 0
2 years ago
The perimeter of a triangle is 22cm. If one of the sides is 9cm,find the other sides if the area of the triangle is 20.976cm2 ​
Mekhanik [1.2K]

Answer:

Third side = 8.34 cm

Step-by-step explanation:

Given that,

The perimeter of a triangle, P = 22 cm

One side of a triangle, b = 9 cm

The area of the triangle, A = 20.976 cm²

The formula for the area of a triangle is given by :

A=\dfrac{1}{2}\times b\times h\\\\h=\dfrac{2A}{b}\\\\h=\dfrac{2\times 20.976}{9}\\\\h=4.66\ cm

Perimeter = Sum of all sides

9 cm + 4.66 cm + x = 22

x = 22 - 13.66

x = 8.34 cm

So, the third side of the triangle is 8.34 cm.

8 0
2 years ago
Write the following linear equation in slope intercept form. y-5=-2(x+3)
swat32

Answer:

y = -2x -1

Step-by-step explanation:

y-5=-2(x+3)

Distribute -2 × x and -2 × 3

y - 5 = -2x -6

y + 5 = -2x -6

y = -2x - 1

4 0
2 years ago
Evaluate the expression: -6 - |3 - 7| × 4 ÷ 8 - (-2) =
USPshnik [31]
-6-/3-7/*4/8-(-2)
-6-4*4/8-(-2)
 -6- 16 /8-(-2)
 -6 -2 - (-2)
 -8 - (-2)
-6
Hope this helped
8 0
3 years ago
If I add 2 tablespoons of sugar to each cup of coffee, what is the ratio of sugar to coffee?
Gemiola [76]
For any amount of pure Coffee (no milk), you can put 39 grams of sugar or nearly 10 teaspoons of sugar, as Coffee has no sugar in it. 30ml is a standard espresso size so to be equivalent per ml of liquid you would need to put 3.1 grams of sugar which is less than a teaspoon.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Multiple 3/4 times 16/9
    10·2 answers
  • Which relationships have the same constant of proportionality between y and x as in the equation y=1/3x?
    15·1 answer
  • 35% of what number is 84 ?
    11·2 answers
  • Write (-4)^4 expanded form
    15·2 answers
  • A teacher collects data on the number of hours, s, his students spend studying and the number of hours, t, they spend watching T
    6·1 answer
  • Can an absolute value equal a negative?
    12·1 answer
  • Steven likes to skip rocks on the lake. If he skips 2 rocks 5 times, 4 rocks 3 times, and 6 rocks 2 times, how many skips does h
    12·2 answers
  • PLEASEE HELP I NEED THIS ASAP!!!!​
    11·1 answer
  • 5 t-shirt cost R120.how much will 9t-shirt cost​
    11·1 answer
  • HELP MEHHHHHHHHHHHHHH AGAIN! MORE GRAPHS! YOU'LL GET BRAINLIEST IF YOU'RE CORRECT!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!