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
kobusy [5.1K]
3 years ago
10

(-3.5t - 4s + 4.5) + (-7.1 - 0.3s + 4.1t)

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0

Answer:

0.6t - 4.3s -2.6

Step-by-step explanation:

Given the expression

(-3.5t - 4s + 4.5) + (-7.1 - 0.3s + 4.1t)

Collect the like terms

= -3.5t+4.1t-4s-0.3s+4.5-7.1

= 0.6t - 4.3s -2.6

Hence the required expression is 0.6t - 4.3s -2.6

You might be interested in
A triangle has vertices at (1,10), (-5,2), and (7,2). What is its orthocenter. Show your work.
kondor19780726 [428]

Answer:

Question: What is the orthocenter of a triangle with the vertices (-1,2) (5,2) and (2,1)?

The coordinates of point A are (-1,2), point B are (5,2), and point C are (2,1).

The orthocent is the intersection of the three altitudes. An altitude goes from a vertex and is perpendicular to the line containing the opposite side.

In the coordinate plane the equations of the altitudes can be found and then a system of equations can be solved.

Altitude 1. From point C perpendicular to the line containing side AB.

Slope of line AB is 0 (horizontal line), a vertical line is perpendicular to a horizontal line. Thus, the equation of altitude 1 is  x=2 .

Altitude 2. From point B perpendicular to the line containing side AC.

Slope of line AC is  −13 , the slope of a line perpendicular to line AC is 3. The equation of altitude 2 is  y=3x−13  

Altitude 3. From point A perpendicular to the line containing side BC.

Slope of line BC is  13 , the slope of a line perpendicular to line BC is  −3 . The equation of altitude 3 is  y=−3x−1  

The orthocenter is the point where all three altitudes intersect.

x=2  

y=3x−13  

y=−3x−1  

Use substitution to solve the first two equations  y=3(2)−13=−7  

The orthocenter is the point  (2,−7)  

we did not need the third equation, but we can use it as a check, plug the coordinates into the third equation:

−7=−3(2)−1  

−7=−6−1  

−7=−7  it works.

3 0
3 years ago
can someone help me with this I have to do like 18 other questions so if you can help me with those I would appreciate it!
GenaCL600 [577]

Answer:

see below

Step-by-step explanation:

1.)

(0, 4)

(1, 7)

\frac{7-4}{1-0} = 3

y = 3x + b

(4) = 3(0) + b

b = 4

y = 3x + 4

Rate of change: 3       initial value: 4

2.)

(0, -5)

(1, -3)

\frac{-3-(-5)}{1-0} = 2

y = 2x + b

(-5) = 2(0) + b

b = -5

Rate of change: 2        initial value: -5

4 0
2 years ago
The coordinate m is 2.5 and mn=4. What are the possible coordinates for n
steposvetlana [31]
Refer to the figure shown below.

The coordinates of point m are (2,5).
Let (x,y) = the coordinates of pont n.

Because mn = 4, use the Pythagorean theorem to obtain
(x - 2)² + (y - 5)² = 4²

This represents a circle with center at (2,5) and radus = 4.

Answer:
Possible coordinates for n lie on the circle (x-2)² + (y-5)² = 16.

7 0
3 years ago
The deli scale weighs meat and cheese in hundredths of a pound. Emily put 5/10 pound of pepperoni on the deli scale. What weight
andreyandreev [35.5K]

.50 is your answer

Hope this helps

8 0
3 years ago
-4x+8y=24 in slope intercept form
omeli [17]

Answer:

y=1/2x+3

Step-by-step explanation:

-4x+8y=24

Slope-intercept form: y=mx+b

Add -4x on each side

-4x+8y=24

+4x       +4x

8y=4x+24

Divide by 8 on each side

<u>8y</u>=<u>4x+24</u>

8        8

y=4/8x + 3

Simplify 4/8x

y=1/2x+3  

7 0
3 years ago
Other questions:
  • Suppose you choose a marble from a bag containing 4 red marbles, 2 white marbles, and 3 blue marbles. You return the first marbl
    7·2 answers
  • What is the formula to calculate the surface area of a rectangular prism with a cube removed?
    11·1 answer
  • Quadrilateral abcd is a trapezoid with what must be shown to prove that abcd is an isosceles trapezoid?
    9·1 answer
  • Write an equation of the line that passes through the points (-2,-3) and (1,-3)
    7·1 answer
  • Module 6 Polynomial the question is in the picture. Alana completed a problem where she had to find the sum of the polynomials (
    11·1 answer
  • Write your answer (168 ÷ 7) × 3^2 - 43
    10·2 answers
  • Evaluate each expression.
    9·1 answer
  • Chris found some colorful leaves under one tree. Under another tree, he
    10·1 answer
  • 3. passes through (8. -4), slope = 1/2​
    7·1 answer
  • PLZ HELP Word Problems on the system of equations:
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!