All categories

3 years ago

WILL GIVE BRAINLIEST 15 POINTS!!! Consider the following pair of equations:

1 answer:

5 0

The two lines will intersect at the point (2, 3).

We can find this by setting the two equations equal to eachother, as the point at which they intersect is the point where they share the same x and y value. First, we have to get both equations in the form y = mx + c, so:
-x - y = -5
+ y
-x = -5 + y
+ 5
y = -x + 5

Now we can set -x + 5 equal to x + 1 and solve to find the x coordinate:

-x + 5 = x + 1
+ x
5 = 2x + 1
- 1
4 = 2x
÷ 2
2 = x

With the x coordinate, we can substitute it in to one of the equations and find our y coordinate:

y = 2 + 1 = 3

So the final answer is (2, 3).

I hope this helps!

-x + 5 = x + 1

You might be interested in

Factor: -49x^2+ 7y^2 + 133

prisoha [69]

Answer:

-7 (7x^2-y^2-19)

Step-by-step explanation:

5 0

3 years ago

You and your friend each collect rocks and fessis your friend collects three times as many roots and half as many fossils as you

n200080 [17]

Answer:

Number of rocks and fossils collected by you is 1 and 24 respectively

Number of rocks and fossils collected by your friend is 3 and 12 respectively

Step-by-step explanation:

Let the number of Rocks you collect be x

Let the number of Fossils you collect be y

Then the total number pf objects you collected will be

x + y = 25

x = 25 - y------------------------------(1)

Your friend collects three times as many rocks and half as many fossils as you.

This can be written as

3x + y (1/2) = 15

3x + (y/2) = 15-------------------(2)

Substituting (1) in (2)

3(25 - y) + (y/2) = 15

75 - 3y + (y/2) = 15

Grouping the like terms we get,

75 - 15 = 3y = (y/2)

60 = ( 6y - y /2)

60 x 2 = 6y -y

120 = 5y

y = 120/5

y = 24

Substituting y value in equation(1) we get

x = 25 - 24

x= 1

y= 24

Friends collects 3 times rock

so collects 3x =3(1) = 3rocks

Also he collects half as many fossils

That is

y/2 = 24/2 = 12 fossils

Hope this help you! :)

5 0

2 years ago

If Raj randomly chooses a point in the square below, what is the probability that point is not in the circle? Assume that pi = 3

hodyreva [135]

Answer:

49.7%

Step-by-step explanation:

A cdircle is located within a square.

Area of the circle

Area = $\pi$ $r^{2}$ , where r = 4 units.

Area Circle = 50.3 units^2

Area of the square

Area = l*w or l^2 for a square, since l = w

Area = (10 units)^2

Area = 100 units^2

Area in the square but outside the circle

This is the difference [Square minus Circle Areas]

Square minus Circle Areas = 100 - 50.3 or 49.7 units^2

Probability

The probability of picking a point in the square that is not in the circle is the ration of the two areas: [Outside Circle/Square]x100%

(49.7 units^2)/(100 units^2)x100% = 49.7%

6 0

1 year ago

Help!! Which of the following best represents Z1 • Z2 select all that apply

AURORKA [14]

$z_1=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)$

$z_2=\sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)$

$\cos \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}$

$\sin \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}$

$\cos \left(\frac{3\pi }{4}\right)=-\frac{\sqrt{2}}{2}$

$\sin \left(\frac{3\pi }{4}\right)=\frac{\sqrt{2}}{2}\\$

$Z_1*Z_2=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)\cdot \sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)$

$=\sqrt{3}\left(\frac{\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)\cdot \sqrt{6}\left(\frac{-\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)$

On simplifying, we get

$Z_1* Z_2 =-3\sqrt{2}$

<h2>Therefore, correct option is 1st option.</h2>

3 0

3 years ago

A warehouse worker fills 150 orders per day on average. From day to day, the number of orders varies by 2%. What is the range of

choli [55]

Answer:

The range is from 147 to 153 orders per day

Step-by-step explanation:

orders varies by 2% means that orders can be LOWER THAN THE AVERAGE, or HIGHER THAN THE AVERAGE.

That is, by 2%.

First, we need to find the decimal of 2%, so

2/100 = 0.02

We multiply this with the average number of order, 150, to get the varying amount:

0.02 * 150 = 3

Thus, the range would be:

150 - 3 = 147

150 + 3 = 153

The range is from 147 to 153 orders per day

5 0

3 years ago