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2 years ago

What is the equation of this line in standard form

Mathematics

1 answer:

Yuri [45]2 years ago

3 0

Line joining (-3, -1) and (1/2, 2)

Point point form for a line is

(c-a)(y-b) = (d-b)(x-a)

(1/2 - - 3)(y - -1) = (2 - -1)(x - -3)

(7/2)(y+1)=3(x+3)

7(y+1)=6(x+3)

7 - 6(3) = 6x - 7y

6x - 7y = -11

Answer: second choice, 6x - 7y = -11

You might be interested in

The volume of a right circular cone that has a height of 13 m and a base with a diameter of 3.4 m. Round your answer to the near

Mamont248 [21]

Answer:

The volume of right circular cone having height = $13 \ m$ and Diameter = $3.4 \ m$ is $39.4\ cubic\ meter$ .

Step-by-step explanation:

Diagram of the given scenario is shown below.

Given that

Height of a right circular cone is $13 \ m$ .

Diameter of the right circular cone is $3.4 \ m$ .

To find: The volume of a right circular cone.

So, From the question,

$Height = \ 13 \ m\\diameter = 3.4\ m$

$Radius = \frac{diameter}{2}= \frac{3.4}{2}$

⇒ $Radius = 1.7\ m$

Now

Volume of right circular cone = $\frac{1}{3}\pi r^{2}h$

$=\frac{1}{3}\times\frac{22}{7} \times (1.7)^{2}\times 13$

= $\frac{826.54}{21}$

$= 39.4\ cubic\ meter$ .

Therefore,

The volume of right circular cone having height = $13 \ m$ and Diameter = $3.4 \ m$ is $39.4\ cubic\ meter$ .

8 0

2 years ago

How do I find the largest angle of the triangle ??

Novosadov [1.4K]

Answer: 89

43 + x = 132 => Exterior Angle Theorem
^
The measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. That means the two remote interior angle add up to the exterior angle.

x = 89

**To find the last angle: 89 + 43 + x = 180 => Triangle Sum Theorem states that the interior angles of a triangle add up to 180. The last angle would be 48.**

3 0

2 years ago

Find the surface area of the cylinder in terms of pi.<br><br> Height = 8 in<br> Diameter = 4in

irga5000 [103]

1) the area of the "side" of the cylinder is A1= pi (4 in).
2) the total area of the circular ends of the cyl. is A2 = 2 pi (2 in)^2 (since the radius of the cyl. is 2 in).

The desired total surface area is A = A1 + A2. Keep "pi;" do not substitute a numerical value for "pi."

8 0

3 years ago

Layla wrote a report on insects. She listed the lengths of a tiger beetles, carpenter ants, and aphids. The lengths were 1/2 inc

ahrayia [7]

First we would change the fractions into decimals and compare them. That way it would be easy to solve when needed.

1/2=0.50
5/8=0.625
1/8=0.125

Now we can see that 1/8 (0.125) is the smallest, followed by 1/2 (0.50), and 5/8 the largest. Now we can match the sizes with the insects.

Since the tiger beetle is the largest we will place that with the length of 5/8 since that is the largest.

The carpenter ant is second largest so it would be matched with 1/2

The aphid is the smallest so that would be with 1/8 as the smallest

*Hope that helped :D*

3 0

2 years ago

Researchers at Gallup were interested in whether there was a decrease in the proportion of nonretirees (in other words, people w

Lera25 [3.4K]

Answer:

A. We have extremely strong evidence to reject H0.

Step-by-step explanation:

Let P be the proportion of non-retirees in 2015 who did not think that Social Security would be able to pay a retirement benefit by the time that they retire.

According to the data null and alternative hypotheses should be:

$H_{0}$ : P=0.60

$H_{a}$ : P<0.60

Test statistics is -4.29 and p-value of the statistics is p<0.001

At every significance levels higher than 0.001, we can reject the null hypothesis since p<0.001.

8 0

3 years ago