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zhenek [66]
3 years ago
5

Use the point slope equation to identify the slope and the coordinates of a point

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
7 0

Answer:

[1, 4]; 1 = m

Step-by-step explanation:

According to the Point-Slope Formula, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE terms of what they really are, so in this case, the coordinates are [1, 4]. Now, the <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>] is <em>1</em><em> </em>because an invisible coefficient is always assumed to be <em>1</em><em>.</em>

I am joyous to assist you anytime.

nataly862011 [7]3 years ago
3 0

Answer:

The slope of the line is 1 and it passes through the point (1,4).

Step-by-step explanation:

If a line passes through a points (x_1,y_1) with slope m, then the point slope form of the line is

y-y_1=m(x-x_1)            .... (1)

The given equation of line is

y-4=(x-1)                .... (2)

We need to find the slope and the coordinates of a point on the given line.

On comparing (1) and (2) we get

m=1

x_1=1

y_1=4

Therefore, the slope of the line is 1 and it passes through the point (1,4).

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A particle moves along the curve y = 5x^2 – 1 in such a way that the y value is decreasing at the rate of 2 units per second. At
Shtirlitz [24]

Answer:

The correct option is;

Increasing one fifth unit/sec

Step-by-step explanation:

The equation that gives the curve of the particle of the particle is y = 5·x² - 1

The rate of decrease of the y value dy/dt = 2 units per second

We have;

dy/dx = dy/dt × dt/dx

dy/dx = 10·x

dy/dt = 2 units/sec

dt/dx = (dy/dx)/(dy/dt)

dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)

When x = 1

dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec

dx/dt = 1/5 unit/sec

Therefore, x is increasing one fifth unit/sec.

8 0
3 years ago
Which one is it need help​
jeka94
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ To understand this, you need to know one rule:

when indices are separated by parenthesis, they multiply

As per this rule, the correct option would be C

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0
3 years ago
A high school senior applies for admission to college A and to college B. He estimates that the probability of his being admitte
Fiesta28 [93]

The probability that he will be rejected to at least one of the colleges is 0.51.

Given probability that he will admit in A is 0.7, probability that he will not be admit in B is 0.5, probability that atleast one of his applications got rejected is 0.6.

We have to find the probability that he will be rejected to at least one of the colleges.

Probability that he will admit in A =0.7

Probability that he will not admit in A=1-0.7=0.3

Probability that he will not admit in B =0.5

Probability that he will admit in B=1-0.5=0.5

Probability  that he will be rejected to at least one of the colleges=probability that he will admit in A* probability that he will not admit in B+ probability that he will admit in B* probability that he will not admit in A+ probability that he will not admit in A* probability that he will not admit in B

=0.7*0.5+0.5*0.3+0.5*0.3

=0.35+0.15+0.15

=0.51

Hence the probability that he will be rejected to at least one of the colleges is 0.51.

Learn more about probability at brainly.com/question/24756209

#SPJ4

4 0
2 years ago
Calculate the bearing of Y from X
nlexa [21]

Answer:

bearing of Y from X is 074°

Step-by-step explanation:

the bearing of Y from X is the clockwise measure of the angle from the northline N to Y , that is

180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

7 0
2 years ago
ella collected 5 times as many bugs as mari mari collected 19 bugs how many bugs did ella collect show your work
suter [353]

Answer:

Ella collected 95 bugs.

Step-by-step explanation:

First, we know that Mari has 19 bugs at the moment, then we know Ella has 5 times that amount. So, the equation would be 5 • 19. The answer comes to 95.

4 0
3 years ago
Read 2 more answers
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