All categories

3 years ago

Hey how to do this and what the answer

Mathematics

1 answer:

frez [133]3 years ago

8 0

Answer:

5x + y - 4 = 0

Step-by-step explanation:

When we are given two points and are asked to find the equation of the line we use the two - point form.

Two - point form: $\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}$ .

where: $(x_1,y_1)$ and $(x_2,y_2)$ are the two points on the line.

Given the two points are: (5,21) and (-5,-29).

Substituting in the two point form:

⇒ $\frac{y - 21}{-29 - 21} = \frac{x - 5}{-5 -5}$

$\implies \frac{y - 21}{-50} = \frac{x - 5}{-10}$

$\implies y - 21 = 5x - 25$

⇒ 5x + y - 4 = 0

You might be interested in

If |lm and m<6 = 4x - 15 and m<7 = x+30, then m<6 = 35 45 39 15

pentagon [3]

Answer:

∠ 6 = 45°

Step-by-step explanation:

∠ 6 and ∠ 7 are alternate angles and are congruent, thus

4x - 15 = x + 30 ( subtract x from both sides )

3x - 15 = 30 ( add 15 to both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Thus

∠ 6 = 4x - 15 = 4(15) - 15 = 60 - 15 = 45°

4 0

2 years ago

Katie is getting her laundry done it cost $2.25 per square foot of flowers added to the yard if she wants 12.4 ft.² of flowers h

7nadin3 [17]

Answer:

Katie needs to pay $27.9.

Step-by-step explanation:

Given;

Cost of per foot = $2.25

Number of flowers in her yard = 12.4 square foot

We need to find how much she needs to pay.

Solution:

Now we know that;

$1\ ft^2 = \$2.25$

So for $12.4 ft^2$ = Cost for $12.4 ft^2$ .

By using Unitary method we get;

Cost for $12.4 ft^2$ = $2.25\times12.4= \$27.9$

Hence Katie needs to pay $27.9.

5 0

3 years ago

A rectangular park is 5/6 miles wide and 1 5/7 miles long. What is the area of the park?

zysi [14]

1 3/7 or 10/7 I took the test aswell

3 0

3 years ago

The distribution of a sample of the outside diameters of PVC pipes approximates a normal distribution. The mean is 14.0 inches,

lakkis [162]

Answer:

A. 13.9 and 14.1 inches

See explanation below.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the outside diameters of a population, and for this case we know the distribution for X is given by:

$X \sim N(14,0.1)$

Where $\mu=14$ and $\sigma=0.1$

If we want the middle 68% of the data we need to have on the tails 16% on each one

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.84$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.16 of the area on the left and 0.84 of the area on the right it's z=-0.994. On this case P(Z<-0.994)=0.16 and P(z>-0.994)=0.84

If we use condition (b) from previous we have this:

$P(X$