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worty [1.4K]
4 years ago
7

write an equation in point-slope form for the line through the given point with the given slope. (10, –9); m = –2 a. y – 9 = –2(

x – 10) b. y – 10 = –2(x 9) c. y – 9 = –2(x 10) d. y 9 = –2(x – 10)
Mathematics
1 answer:
Bas_tet [7]4 years ago
3 0
Hello,

y+9=(x-10)*(-2)
==>y=-2x+11

Answer D if you put an "+" betheen y and 9 !!!!!!
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The triangular sail on Esther's sailboat measures 10.5 feet, 14 feet and 17.5 feet on its three
pentagon [3]

Answer:

The sail is a right triangle.  

Step-by-step explanation:

We are given the following in the question.

Measure of triangular sales are:

10.5 feet, 14 feet and 17.5 feet

We have to check whether it is a right angled triangle or not.

Pythagoras theorem:

According to this theorem the sum of of squares of two sides of triangle is equal to the square of hypotenuse of triangle. The hypotenuse is the longest side of the triangle.

Verifying:

(10.5)^2 + (14)^2\\=110.25 + 196\\=306.25\\=(17.5)^2

Thus, the measurement of sail follows the Pythagoras theorem.

Hence, the sail is a right triangle.

5 0
3 years ago
What is the constant of proportionality 7=7.26x
yaroslaw [1]

9514 1404 393

Answer:

  7.26

Step-by-step explanation:

If your equation is ...

  y = 7.26x

the coefficient of x is the constant of proportionality. It is 7.26.

4 0
3 years ago
Oana cheltuiește o sumă de bani în trei zile. În prima zi Oana cheltuiește jumătate din sumă, a
DanielleElmas [232]

Answer:

700 lei  

Step-by-step explanation:

You have a geometric sequence for which you know the common ratio and the last term.

There are only three terms, so you can solve the problem in either of two ways.

1. The brute force method (easiest for only a few terms)

Each term is half the one before it, so each term is double the one after it.

3rd term =  100 lei

2nd term = 200

 1st term = 400      

     Total  = 700 lei        

Oana spent 700 lei

2. Using formulas  (best for longer sequences)

The general formula for your sequence is

aₙ = a₁rⁿ⁻¹

For your sequence,

a₃ = 100; r = 0.5

(a) Calculate a₁

Set the last term equal to the general formula.

a₃ = a₁(0.5)ⁿ⁻¹

100 = a₁(0.5)² = 0.25a₁

a₁ = 100/0.25 = 400

(b) Calculate the sum

The general formula for the sum of a geometric sequence is

\begin{array}{rcl}S_{n}& =& \dfrac{a_{1}(1 - r^{n}) }{ 1 - r}\\\\S_{3}& =& \dfrac{400(1 - 0.5^{3}) }{ 1 - 0.5}\\\\& =& \dfrac{400(1 - 0.125) }{ 0.5}\\\\& =& \dfrac{400\times0.875 }{ 0.5}\\\\& = & \mathbf{700}\\\end{array}

Oana spent 700 lei.

6 0
3 years ago
Calculate the potential difference across a 40 ohm resistor when a current of 5A flows through it​
MrRissso [65]

Answer:

I don't know if this is what your looking for but if you had 40 ohms and 5 amps, you would get 200 volts / and 1000 watts.

Hope that helps :)

Step-by-step explanation:

4 0
3 years ago
Susan wants to hire one of two mechanics to repair her car. Each mechanic charges a one-time fee in
Rus_ich [418]

there no table showing mechanic b. but mechanic a charges a one time fee of $50

35 an hour times 5 hours is 175

the total of 225 -175= $50 as a one time fee

8 0
3 years ago
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