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3 years ago

What is the equation for the points (-3,1) and (9,7)

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

6 0

Answer:

The equation of line with given points is 2Y - X - 5 = 0

Step-by-step explanation:

Given points are ( - 3 , 1) and (9 , 7)

Equation of line is y = mx +c

where m is the slop of line

Now m = $\frac{y2 - y1}{x2 - x1}$

Or, m = $\frac{7 - 1}{9 + 3}$

so, slop = $\frac{6}{12}$

∴ slop = $\frac{1}{2}$

Now the equation of line with points ( -3 , 1) and slop m is :

Y - y1 = m ( X - x1)

Or, Y - 1 = $\frac{1}{2}$ (X + 3)

Or, 2Y - X - 5 = 0

Hence The equation of line with given points is 2Y - X - 5 = 0 Answer

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As a result of a transfer from one school to another, a boy has to walk one

Softa [21]

Answer:

Let the distance of school and house is x k m

Then time taken at speed 2.5 km\hr=

2.5

And time taken at speed 4 km\hr=

∴

2.5

−

⇒

4x−2.5x

⇒x=3 km

Then the distance of school and house is 3 k m

may this help you

6 0

3 years ago

Write the decimal represented by the shaded square.

UkoKoshka [18]

Answer:

40\100= 4\10=0.4

8 0

3 years ago

Read 2 more answers

In a population of similar households, suppose the weekly supermarket expense for a typical household is normally distributed wi

Rina8888 [55]

Answer:

P(Y ≥ 15) = 0.763

Step-by-step explanation:

Given that:

Mean =135

standard deviation = 12

sample size n = 50

sample mean $\overline x$ = 140

Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses

Then,

$X \sim N ( \mu \sigma)$

The probability that X is greater than 140 is :

P(X>140) = 1 - P(X ≤ 140)

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{140-135}{12})$

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{5}{12})$

$P(X>140) = 1 - P( Z\leq0.42)$

From z tables,

$P(X>140) = 1 - 0.6628$

$P(X>140) = 0.3372$

Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

Then;

$Y \sim Binomial (np)$

$Y \sim Binomial (50,0.3372)$

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

$P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49} + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +... + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}$

P(Y ≥ 15) = 0.763

7 0

3 years ago

An equality that represents numbers that are not a solution of x-1.2>2.8

ValentinkaMS [17]

The solution is x> 4 or x ∈(4,∞)

Here equality given is

x - 1.2> 2.8

Rearrange the variable to the left side of the equation

x > 2.8 + 1.2

Calculate the sum

x > 4

Or we can also say

x ∈ (4,∞)

Therefore the range of x is x∈ (4,∞).

To know more about the range of the solution refer to the link given below:

brainly.com/question/2264373

#SPJ1

4 0

1 year ago

Plz someone help I will mark brainlest diameter is 8.8 yd

sweet [91]

Answer:

60.79 square yards.

Step-by-step explanation:

d = 2r; d = 8.8.

8.8 = 2r

r = 8.8 / 2

r = 4.4 yards.

Since we now have the radius, we can find the area of the circle, which can be found using πr^2, or 3.14 * r^2.

4.4^2 * 3.14 = 19.36 * 3.14 = 60.7904.

Since the question tells us to round to the nearest hundredth, our final answer will be 60.79 square yards.

Hope this helps!

5 0

3 years ago