Parallel lines have_slopes. Perpendicular lines have_ _ slopes

Mathematics

1 answer:

luda_lava [24]3 years ago

3 0

AnswerStep-by-step explanation:

Parallel and Perpendicular Lines. Parallel lines have the same slope and will never intersect. ... On the other hand, the slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 deg

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An excursion group of four is to be drawn from among 5 boys and 6 girls.

tresset_1 [31]

Answer:

Because you are recounting people several times. Say for example, let us number those people

{1,2,3,4} for the four girls and {1,2…7} for the boys.

One possible combination by your way is to fix one boy and girl each, say

{1,1} and then choose the remaining people. Let this combination be, for the sake of the example, {1,1,2,2,3}. This is a valid combination.

Now, when you fix another combination of a boy and a girl, say {1,2}, you could get the same combination as before because one the combinations while choosing the three remaining people would be {1,2,3}.

A correct way would be to choose girls and then choose 5− boys for 1≤≤4

So we get ∑4=1(4)(75−)=441

5 0

3 years ago

Read 2 more answers

I really need help with this i beg you !!

sweet-ann [11.9K]

Answer:

The perimeter and area of the square are 56 units and 196 square units, respectively.

Step-by-step explanation:

The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is $\sqrt{2}$ time the length of any of its legs. If the hypotenuse has a measure of $7\sqrt{2}$ , then the legs of the triangle have a measure of $7$ .

Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.

Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:

Perimeter

$p = 4\cdot l$ (1)