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andrezito [222]
3 years ago
8

Write the equation of the line that passes through the points (1,4) and (-7,1)

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0

Answer:

y = 3/8x +29/8

Step-by-step explanation:

First we need to find the slope

m= (y2-y1)/(x2-x1)

   = (1-4)/(-7-1)

   = -3 /-8

   = 3/8

Then we can use the slope intercept form of the equation of a line

y = mx+b where m is the slope and b is the y intercept

y = 3/8x +b

Substitute a point into the equation to find b

4 = 3/8(1) +b

Subtract 3/8 from each side

32/8 -3/8 = 3/8-3/8+b

29/8 = b

Substitute b back into the equation

y = 3/8x +29/8

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Which of the following interpretations for the given expression is correct? (29) the cube of the difference of the square of 5 t
masya89 [10]

Answer:

df

Step-by-step explanation:

fewf

5 0
3 years ago
Brian, Pip and Sara share some sweets in the ratio 4:2:1. Brian gets 45 more sweets than Sara. How many sweets are there altoget
elixir [45]

Answer:

105 sweets

Step-by-step explanation:

4×15 = 60

2×15=30

1×15=15

60-15 =45

60+30+15=105

5 0
2 years ago
Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minut
solmaris [256]

Answer:

6.11km/hr

Step-by-step explanation:

Let the speed that Kelli swims be represented by Y

Speed of the river = 5km/hr

Distance = Speed × Time

Kelli swam upstream for some distance in one hour

Swimming upstream takes a negative sign, hence:

1 hour ×( Y - 5) = Distance

Distance = Y - 5

She then swam downstream the same river for the same distance in only 6 minutes

Downstream takes a positive sign

Converting 6 minutes to hour =

60 minutes = 1 hour

6 minutes =

Cross Multiply

6/60 = 1/10 hour

Hence, Distance =

1/10 × (Y + 5)

= Y/10 + 1/2

Equating both equations we have:

Y - 5 = Y/10 + 1/2

Collect like terms

Y - Y/10 = 5 + 1/2

9Y/10 = 5 1/2

9Y/ 10 = 11/2

Cross Multiply

9Y × 2 = 10 × 11

18Y = 110

Y = 110/18

Y = 6.1111111111 km/hr

Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.

4 0
3 years ago
Determine the rate and the unit rate. $18 for 6 volleyballs
Nadusha1986 [10]

Answer:

3.00$ is the answer

5 0
3 years ago
What is the inverse of f(x)= cube root of x +2.
DiKsa [7]
F(x)=\sqrt[3]{x+2}
to solve for the inverse of a function you do 4 steps:
1. subsitute f(x) with y
2. switch y and x places
3. solve for y
4. subsitute y with f⁻¹(x)

so we have
f(x)=\sqrt[3]{x+2}
subsitute f(x) with y
y=\sqrt[3]{x+2}
switch x and y
x=\sqrt[3]{y+2}
solve for y

x=\sqrt[3]{y+2}
cube both sides
x^{3}=y+2
subtract 2 from both sides
x^{3}-2=y

subsitute y with f⁻¹(x)
f⁻¹(x)=x^{3}-2



the answer is f⁻¹(x)=x^{3}-2



8 0
4 years ago
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