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3 years ago

Find the slope of the line through each pair of points (-20,-4) and (-12,-10)

Mathematics

2 answers:

Harlamova29_29 [7]3 years ago

8 0

Answer:

y=-3/4x-19

Step-by-step explanation:

Download pdf

Vilka [71]3 years ago

6 0

Answer: -3/4x -19

Use formula y2 - y1

x2 - x1

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Do the following proofs

Anna11 [10]

1) By the SSS postulate we can tell that these two triangles are congruent.

-> What is SSS?

[] When three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are said congruent by side-side-side

[] The proof for the assignment

AB = DF, AC = DE, BC = EF | Given

The triangles are congruent | SSS Postulate

2) We can use AAS for these two triangles.

-> What is AAS?

[] When one side and two angles of a triangle are congruent to one side and two angles of another triangle, then the two triangles are said congruent by angle-angle-side

-> How does this apply here?

[] We are given that two angles are congruent to each other, so the angle-angle part is solved for. Since these two triangles share a side, that side will be congruent for each triangle, giving us angle-angle-side

[] The proof for the assignment

Angle T = angle N, angle TAB = angle NAB | Given

AB = AB | Reflexive Property

The triangles are congruent | AAS Postulate

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0

2 years ago

Which are sums of perfect cubes? Check all that apply. 8x6 27 x9 1 81x3 16x6 x6 x3 27x9 x12 9x3 27x9.

Black_prince [1.1K]

The equations which are sums of perfect cubes are as follows;

$\rm 8x^6+27x^9+1$

$\rm x^6+x^3$

$\rm 27x^9+x^{12}$

<h3>Perfect cubes;</h3>

Perfect cubes are the numbers that are the triple product of the same number.

We have to determine

Which are sums of perfect cubes?

1. The given equation is $\rm 8x^6+27x^9+1$ .

The equation can be written as;

$\rm 8x^6+27x^9+1\\\\2^3(x^2)^3+3^3(x^3)^3+1^3$

All the terms in the expression are can be represented as perfect cubes.

2. The given equation is $\rm 81x^3+16x^6$ .

The equation can be written as;

$\rm 81x^3+16x^6\\\\9^2x^3+4^2(x^2)3$

In this, all the terms are not perfect cubes, some of them are squares.

3. The given equation is $\rm x^6+x^3$ .

The equation can be written as;

$\rm x^6+x^3\\\\(x^2)^3+x^3$

All the terms in the expression are perfect cubes.

4. The given equation is $\rm 27x^9+x^{12}$ .

The equation can be written as;

$\rm 27x^9+x^{12}\\\\3^3(x^3)^3+(x^4)^3$

All the terms in the expression are perfect cubes.

5. The given equation is $\rm 9x^3+27x^9$ .

The equation can be written as;

$\rm 9x^3+27x^9\\\\3^2x^3+3^3(x^3)^3$

In this, all the terms are not perfect cubes, some of them are squares too.

To know more about perfect cubes click the link given below.

brainly.com/question/4701925

5 0

2 years ago

Read 2 more answers

Please give me the right answer I need help

Nimfa-mama [501]

Area of fountain is 147.58 and area of path is 28.26

4 0

3 years ago

Read 2 more answers

Convert 1 1/3 to a improper fraction

Morgarella [4.7K]

Answer:

3 2/3

Step-by-step explanation:

Divide 11 by 3 using long division method. then place the quotient as whole number and reminder as numerator and dividend as denominator

5 0

3 years ago

Since insulin u-100 is 100 units/mL,which of the following shortcuts can be used to convert a dose of u-100 insulin given in uni

N76 [4]

Answer:

The shortcuts is

Divide number of units by 100

Step-by-step explanation:

From the question we are told that

insulin u-100 is $L = 100 \ unit /mL$

From the data given above we see that

100 units of insulin u-100 is contained in 1 mL

So 1 unit of u-100 is contained in x mL

=> $x = \frac{1}{100} \ mL$

This means that a unit of insulin u-100 occupies $x = \frac{1}{100} \ mL$

So we can represent a single unit of insulin u-100 as $\frac{1}{100} \ mL$

Now if 1 unit of insulin u-100 is represented as $\frac{1}{100} \ mL$

Then y unites of insulin u-100 is represented as z

$z = \frac{y}{100} \ mL$

From the above calculation we can see that the shortcuts to convert u-100 insulin given in units, to mL is to divide number of units by 100

6 0

3 years ago