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Grace [21]
3 years ago
8

What is the approximate distance between the points (-3,-4)(-8,1) on a coordinate grid?

Mathematics
1 answer:
Alex3 years ago
3 0

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2} \\\\\\ d=\sqrt{25+25}\implies d=\sqrt{50}\implies d\approx 7.071

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What fraction is equal to 2/5 4/7,4/10,6/9
Julli [10]
4/10 is equal to 2/5 because if you reduce 4/10 you get 2/5 which shows that they are equal.
7 0
3 years ago
Find the surface area of a square pyramid with base edges of 8 feet. The height of each lateral face is 10 feet. Explain or show
Zina [86]

Answer:

224 im pretty sure

Step-by-step explanation:

area of a triangle= base x height / 2

if we plug the values from the problem into the equation, we get 8 x 10 / 2 which simplifies into 80 / 2, which is 40. because this is a square pyramid, we know it has 4 triangles, so we multiply 40 by 4, which is 160. now, we find the area of the square, which can be found with the equation length x width. since all sides of square are equal, the equation becomes 8 x 8, which is 64. finally, we add the area of the triangles to that of the square, and we get 224. hope this helps!

6 0
3 years ago
Given: l || m; ∠1 ∠3
Katarina [22]

The parts that are missing in the proof are:

It is given

∠2 ≅ ∠3

converse alternate exterior angles theorem

<h3>What is the Converse of Alternate Exterior Angles Theorem?</h3>

The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.

∠1 ≅ ∠3 and l║m because we are: given

By the transitive property,

∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.

Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.

Therefore, the missing parts pf the paragraph proof are:

  • It is given
  • ∠2 ≅ ∠3
  • converse alternate exterior angles theorem

Learn more about the converse alternate exterior angles theorem on:

brainly.com/question/17883766

#SPJ1

3 0
2 years ago
Simplify the expression
Molodets [167]

Answer:

8x^8/3 y^4 - The first option

Step-by-step explanation:

The first thing we need to do is the exponent outside the bracket and leave the 8 till last, because exponents always come before multiplying coefficients. When an term with an exponent is multiplied by another exponent outside a bracket, the exponents of both terms are multiplied by the exponent outside the bracket.

This means that the expression is now:

8(x^2*4/3 y^3*4/3)

First we can so the x term. The x term already has an exponent of 2, so the 2 is multiplied by the 4/3 exponent outside the bracket. 2*4/3 = 8/3, so the x term is now: x^8/3

The same happens to the y term: 3*4/3 simplifies to 4, so the y term is now y^4.

So now our expression is:

8(x^8/3 y^4)

Now the 8 outside the bracket simply multiplies on to the whole term so we finish with:

8x^8/3 y^4 - The first option.

Hope this helped!

7 0
3 years ago
One company estimates same-day delivery as more than three less than half the total number of miles. Which
-BARSIC- [3]

Answer:

D

Step-by-step explanation:

I took the quiz and got it right.

Also, the equation is y > x/2 - 3

8 0
3 years ago
Read 2 more answers
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