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2 years ago

PLEASE HELP! I AM CONFUSED! Explain your answer, thank you so much! (I will give brainlyest)

Mathematics

2 answers:

antiseptic1488 [7]2 years ago

8 0

Answer:

y+3 = 2(x-4)

Step-by-step explanation:

If we have a slope and a point, we can use the point slope form for an equation of a line

y -y1= m(x-x1)

where m is the slope and (x1,y1) is the point

y--3 = 2(x-4)

y+3 = 2(x-4)

arsen [322]2 years ago

7 0

Answer: Choice B which is y + 3 = 2(x - 4)

Point slope form is this basic equation

y - y1 = m(x - x1)

with m as the slope and (x1,y1) as the point the line goes through. We are told the slope is 2, so m = 2. The point on the line is (4,-3) meaning x1 = 4 and y1 = -3

Plug these values in and simplify

y - y1 = m(x - x1)

y - y1 = 2(x - x1) .... replace m with 2

y - (-3) = 2(x - 4) .... replace x1 with 4, replace y1 with -3

y + 3 = 2(x - 4) .... rewrite y-(-3) as y+3

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Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers

Alenkinab [10]

Given:

$\sigma_A=3$

$n_A=6$

$\sigma_B=5$

$n_B=4$

$\overline{x}_A=\overline{x}_B$

To find:

The variance. of combined set.

Solution:

Formula for variance is

$\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}$ ...(i)

Using (i), we get

$\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}$

$(3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$54=\sum (x_i-\overline{x}_A)^2$

Similarly,

$\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}$

$(5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$100=\sum (x_i-\overline{x}_B)^2$

Now, after combining both sets, we get

$\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}$

$\sigma^2=\dfrac{54+100}{6+4}$

$\sigma^2=\dfrac{154}{10}$

$\sigma^2=15.4$

Therefore, the variance of combined set is 15.4.

7 0

2 years ago

Last year, Jason's average in math was a 72. This year, his average is a 90. What is the percent increase in Jason's grade?

slamgirl [31]

Answer:

20% increase

Step-by-step explanation:

All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20

7 0

2 years ago

∠2 and ∠6 can be classified as:

Lilit [14]

Answer:

A. corresponding angles

Step-by-step explanation:

2 and 6 are on the same side of the transversal and in the corresponding position ( same location) with respect to the parallel lines

This makes the corresponding angles

6 0

3 years ago

Read 2 more answers

I will give you a Brainliest

vladimir2022 [97]

if the circumference of the shield is 100.48inches, nits radius is 16 inches and the area of the front of the shield is about 803.84 square inches.

proof

circumference = 2x r x Pi implies r =circumference / 2Pi=100.48/2x3.14=16

area = Pi x r²=3.14 x 16²=804.84

8 0

2 years ago

An aircraft on a reconnaissance mission takes off from its home base and flies 550 miles at a bearing of S 46° E to a location i

Alexandra [31]

<h3>Answer: D) 1692 miles</h3>

============================================

Explanation:

A diagram is very handy for this type of problem. Refer to the diagram below (attached image). Here are the steps used to form the diagram

Plot point A and make that the home base. Plot point D directly south of point A. I'm skipping B and C because those will be used to form the triangle later.
Imagine you are standing at point A and looking south at point D. Turn 46 degrees toward the east direction (this is what the notation "bearing of S 46° E" means). Then move 550 miles from A to land on point B. This is the location where the plane makes its first turn.
Plot the points E and F, which are north and south of point B.
Imagine we are at point B and looking directly south at point F. Turn 55 degrees toward the west, which is due to the "S 55° W" and then move 483 miles to arrive at point C. This is the plane's location where it turns around to go back to home base.

The diagram below shows all of this visually summarized. We have the segments

AB = 550 miles
BC = 483 miles
AC = x miles

And we have these angles

Angle DAB = 46 degrees and Angle ABE = 46 degrees (blue)
Angle ABC = 79 degrees (red)
Angle ACB = 55 degrees and Angle FBC = 55 degrees (green)

Angle ABC comes from the fact that the blue and green angles add with the red angle to get 180. So we basically need to solve 46+y+55 = 180 which leads to y = 79.

------------------------------

Once the diagram is set up, we'll use the law of cosines to find x.

Focus on triangle ABC. Ignore points D,E,F. Ignore any extra lines as well.

The interior angles of triangle ABC are

A = 46 degrees
B = 79 degrees
C = 55 degrees

The sides opposite the angles are

a = 483 (opposite angle A)
b = x (opposite angle B)
c = 550 (opposite angle C)

Now we can apply the law of cosines

b^2 = a^2 + c^2 - 2*a*c*cos(B)

x^2 = 483^2 + 550^2 - 2*483*550*cos(79)

x^2 = 434412.180756441

x = sqrt(434412.180756441)

x = 659.099522649229

x = 659

Side AC, or CA, is roughly 659 miles long.

------------

To find the total distance the plane travels, we add up the three sides of the triangle (ie we find the perimeter)

Distance Traveled = AB + BC + CA

Distance Traveled = 550 + 483 + 659

Distance Traveled = 1692 miles

3 0

2 years ago