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polet [3.4K]
3 years ago
6

Write an equation in point slope form of the line that passes through the point -4, 5 and has the slope of one.

Mathematics
1 answer:
Gnesinka [82]3 years ago
8 0

Answer:

y - 5 = x + 4

Step-by-step explanation:

Use point slope form, y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line

Plug in the given point and slope:

y - y1 = m(x - x1)

y - 5 = 1(x + 4)

Simplify:

y - 5 = x + 4

So, the point slope form of the line is y - 5 = x + 4

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Which shows the equation below written in the form ax^2+bx+c=0?
mash [69]
2x^2 - 3 = -4x - 1
2x^2 + 4x - 3 + 1 = 0
2^2 + 4x - 2 = 0 <==
5 0
3 years ago
Read 2 more answers
Find the length of the missing side. <br><br> 1) 52 cm<br> 2) 42cm<br> 3) 25 cm<br> 4) 48 cm
padilas [110]

Answer:

52 cm

Step-by-step explanation:

Use the pythagorean theorem to solve for missing sides in a right triangle.

20²+48²= missing side

20²+48²=2704

Take the square root of 2704 to get the missing side.

\sqrt{2704 } = 52

8 0
1 year ago
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If G(x) = 3x + 1, then G -1(1) is<br> 4<br> 1/3<br> 0
Eduardwww [97]

Answer:

0


Step-by-step explanation:

g(x) = 3x + 1 \\\ y = 3x + 1


Changing x to y and y to x:


x = 3y + 1 \\\ 3y = x - 1 \\\ y = \frac{x - 1}{3} \\\ g^{-1}(x) = \frac{x - 1}{3} \\\ g^{- 1} (1) = \frac{1 - 1}{3} \\\ g^{- 1} (1) = 0


I hope I helped you.

4 0
2 years ago
A survey is made to determine the number of households having electric appliances in a certain city. It is found that 75% have r
Mashcka [7]

Answer:

The probability that a household has at least one of these appliances is 0.95

Step-by-step explanation:

Percentage of households having radios P(R) = 75% = 0.75

Percentage of households having electric irons P(I) = 65% = 0.65

Percentage of households having electric toasters P(T) = 55% = 0.55

Percentage of household having iron and radio P(I∩R) = 50% = 0.5

Percentage of household having radios and toasters P(R∩T) = 40% = 0.40

Percentage of household having iron and toasters P(I∩T) = 30% = 0.30

Percentage of household having all three P(I∩R∩T) = 20% = 0.20

Probability of households having at least one of the appliance can be calculated using the rule:

P(at least one of the three) = P(R) +P(I) + P(T) - P(I∩R) - P(R∩T) - P(I∩T) + P(I∩R∩T)

P(at least one of the three)=0.75 + 0.65 + 0.55 - 0.50 - 0.40 - 0.30 + 0.20  P(at least one of the three) = 0.95

The probability that a household has at least one of these appliances is 0.95

3 0
2 years ago
The product of 15 and the difference between 5 and - 7<br> A numerical expression
kupik [55]

Answer:

15×5-7

75-7

68

answer =68

5 0
2 years ago
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