passes through (1, -1) and (2,0)

Using the distance between two points to find the length of the side of the square, it is found that:

The distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this problem, the length of the side of the square can be found as the distance between points G and H, that is, the distance between (0,5) and (-5,0), hence:

[tex]l = \sqrt{(0 - (-5))^2 + (5 - 0)^2} = \sqrt{50} = \sqrt{2 \times 25} = 5\sqrt{2}[/tex]

The area of a square of side length l is given by:

[tex]A = l^2[/tex]

Hence:

[tex]A = (5\sqrt{2})^2 = 50[/tex]

The area is of 50 square units.

The perimeter of a square of side length l is given by:

[tex]P = 4l[/tex]

Hence:

[tex]P = 4(5\sqrt{2}) = 20\sqrt{2}[/tex]

The perimeter is of [tex]20\sqrt{2}[/tex] units.

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Answer:

IT'S A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The minimum value of sinx is -1 when x = 3π/2, 7π/2, ...

In [2π, 4π), x = 7π/2

The function f(x)=sin(x) achieves its minimum value of -1 at x=3π.

The function f(x)=sin(x) is a periodic function with a period of 2π, meaning it repeats every 2π units. Within the interval [2π,4π), which is one period of the function, the minimum value of sin(x) occurs at x=3π.

This is because at x=3π, the sine function reaches its minimum value of -1. As you move further away from 3π, the sine function starts increasing again.

So, within the interval [2π,4π), the function f(x)=sin(x) achieves its minimum value of -1 at x=3π.

To know more about function:

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#SPJ3

Answer:

r is much larger compared to t.

r is much larger compared to the largness of s to r.

Step-by-step explanation:

Answer:

67.91

Step-by-step explanation:

Answer:

the answer is -1

Step-by-step explanation:

Answer:

The answer is -1

Step-by-step explanation:

If you have 3 and you take away 4, so you end up with a negative number. or what you can do is also just flip the numbers around so subtract 4 minus 3 and put a negative sign when the first number is less than the second one!!

Hope this helps!!!!

Answer:

1.2n=0.45n+1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Total fees

Answer:

$9.75

Step-by-step explanation:

Take the percentage off what he withdrew.

2.5% = 0.025

150 * 0.025 = 3.75

Add the transaction fee.

6 + 3.75 = $9.75

Best of Luck!

Part (a)

The locus is the set of points that satisfy the given conditions. Namely that the point P needs to be 1 unit from the line given.

Think of a median along a highway. Then imagine the two shoulders of the road. The locus describes the two parallel lines that are to this given median. In other words, the median is y = x+2 and the road shoulders are unknown for now.

Though we do know that parallel lines have equal slopes (but different y intercepts).

Therefore, the answers to the next section will be of the form y = x+k for some real number k.

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

Part (b)

Use your favorite graphing tool to plot y = x+2. I recommend GeoGebra since I use it all the time, and it's what I used to make the drawing below. Desmos is another tool you can use. Both are free.

Note that point A(0,2) is on the line y = x+2. The line perpendicular to y = x+2 and goes through (0,2) is y = -x+2. From here, plot a circle centered at (0,2) with radius 1. The equation of this circle is x^2 + (y-2)^2 = 1

The intersection points of the circle and y = -x+2 will provide starting points, so to speak, for the two shoulder lines I mentioned in part (a).

The approximate locations of those points are:

B = (0.71, 1.29)

C = (-0.71, 2.71)

From here, it shouldn't be too hard to find the y = mx+b forms of the locus lines. Let me know if you need help with that, or if you need me to check your answers.

Side note: Why is it called a locus? I'm not sure, but my gut feeling tells me it has to do with the insects of a similar sounding name (locus the math term and locust the insect). Imagine millions of them forming various shapes in the sky, similar to how many points are used in the 2D plane to create various curves.

The equation is an illustration of the subtraction equation

The value of z in the equation is -473449784

Equations are expressions that have equal values, when compared

The equation to determine the value of z is given as:

z = 14,700,-473,4644,84

Evaluate the difference

z = -473449784

Hence, the value of z in the equation is -473449784

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Answer:

B. $6,250

Step-by-step explanation:

Given data

constant function f(t)=5000

linear function g(t)=250t

new function= h(t)=f(t)+g(t)

the new value will be

5000+250t

substituting t = 5 in the linear function we have

=5000+250(5)

=5000+1250

=6250

the answer is $6250

the answer is option B

Sum of the interior angles of any triangle equal 180° .

So ;

A + B + ECB = 180°

A = B = μ

So : 2μ + ECB = 180°

→ ECB = 180° - 2μ

_________________________________

ECF + ECB = 180°

ECF + 180° - 2μ = 180°

ECF = 180° - 180° + 2μ

ECF = 2μ

_________________________________

∆ ADE :

A + D + E = 180°

μ + 90° + E = 180°

E = 180° - 90° - μ

E = 90° - μ

_________________________________

AED + AEF = 180°

90° - μ + AEF = 180°

AEF = 180° - 90° + μ

AEF = 90° + μ

_________________________________

AEF + FEC = 180°

90° + μ + FEC = 180°

FEC = 180° - 90° - μ

FEC = 90° - μ (( # ))

_________________________________

∆ BDF :

B + D + F = 180°

μ + 90° + F = 180°

F = 180° - 90° - μ

F = 90° - μ ((★))

_________________________________

((#)), ((★)) say :

FEC = 90° - μ

F = 90° - μ

So : F =~ FEC

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

I think the answer is repeating because it'd be

0.55

Answer:

length l = 32.25 m

width w = 8223.75 m

height h = 12.5 m

diagonal d = 8223.82273 m

total surface area Stot = 736831.875 m2

lateral surface area Slat = 206400 m2

top surface area Stop = 265215.938 m2

bottom surface area Sbot = 265215.938 m2

volume V = 3315199.22 m3

Step-by-step explanation:

Answer:

33.3333333333

Step-by-step explanation:

100 divided 1/3 = 33.3333333333

hope it helped

Answer:

Our calorie calculator will tell you how many calories you ... If you would like to lose or gain weight, you can also enter ... Here is the backstory on the following fantastic ...

Step-by-step explanation:

make me as brain liest

The yard is obtuse!

[tex]\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Explanation :-}}}}}}[/tex]

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex] \sf \longrightarrow \: {120}^{2} > {85}^{2} + {84}^{2} [/tex]

[tex] \sf \longrightarrow \:14400> 7225 + 7056[/tex]

[tex] \sf \longrightarrow \:14400> 14281[/tex]

[tex] \qquad \mathbb{TRUE}[/tex]

Thus, The triangle is obtuse angled...~

We need angle

Apply law of cosines

[tex]\\ \rm\Rrightarrow c^2=a^2+b^2-2abcos\gamma[/tex]

[tex]\\ \rm\Rrightarrow 2abcos\gamma=a^2+b^2-c^2[/tex]

[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{a^2+b^2-c^2}{-2ab}[/tex]

[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{120^2+84^2-85^2}{-2(120)(84)}[/tex]

[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{14400+7056-7225}{-20160}[/tex]

[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{14231}{-20160}[/tex]

[tex]\\ \rm\Rrightarrow cos\gamma=-0.714[/tex]

[tex]\\ \rm\Rrightarrow \gamma=cos^{-1}(-0.714)[/tex]

[tex]\\ \rm\Rrightarrow \gamma=135.56°[/tex]

The yard is obtuse

Answer:

1rst one

Step-by-step explanation:

Answer:

1st

Step-by-step explanation:

Answer:

[tex]2x {}^{2} + 3x - 1[/tex] option(c)

Step-by-step explanation:

[tex]its \: 2x {}^{2} + 3x - 1 \\ because \: the \: highest \: power \: of \: the \: unkown \: is \: 2[/tex]

The solution to both inequality is [tex]x>-1[/tex] and  [tex]x\leq 7[/tex].

We have equation [tex]-2>-4x-6[/tex] and [tex]-34\leq -4x-6[/tex]

Let us solve the inequality

[tex]-2>-4x-6\\-2+6>-4x\\4>-4x\\x>-1[/tex]

Now, let us solve the inequality

[tex]-34\leq -4x-6\\-34+6\leq -4x\\-28\leq -4x\\x\leq 7[/tex]

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Answer:

[tex]\3[/tex]3 [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

she uses 3/8's of one of them and 7/10 of the other one. first, you need to make the denomanators the same number. so the answer is 3/16 of the starting amount

Answer: The width would be 5 and the length would be 16

Step-by-step explanation:

If the length is 5… double that up, and you get 10. Six more than ten is 16… double that and you get 32. And then if you add 32+10 you get your total of 42 for the perimeter.

Answer:

34

Step-by-step explanation:

Answer:B,D,F,G

Step-by-step explanation:

Answer:

I think only 1 but not 100% sure

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

Combine like terms and simplify.

20z - 5 - 12z = 10z + 8

⇒ z(20 - 12) - 5 = 10z + 8

⇒ z(8) - 5 = 10z + 8

⇒ 8z - 5 = 10z + 8

Subtract 8z both sides.

⇒ 8z - 8z - 5 = 10z + 8 - 8z

⇒ -5 = 2z + 8

Subtract 8 both sides.

⇒ -5 - 8 = 2z + 8 - 8

⇒ -13 = 2z

⇒ -13/2 = 2z/2

⇒ -6.5 = z

Thus, there is 1 solution.

Answer:

c - 55 = 338

Step-by-step explanation:

fifty-five fewer than the number last week is   338

              c - 55                                               =    338

algebraic equation: c - 55= 338

Answer:

(-3,-1)

Step-by-step explanation:

Using the normal distribution, it is found that 6.3% of people received a higher score than Jose.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 76.28, \sigma = 7.02[/tex].

The proportion of people who received a higher score than Jose is one subtracted by the p-value of Z when X = 87, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{87 - 76.28}{7.02}[/tex]

[tex]Z = 1.53[/tex]

[tex]Z = 1.53[/tex] has a p-value of 0.937.

1 - 0.937 = 0.063.

6.3% of people received a higher score than Jose.

More can be learned about the the normal distribution at https://brainly.com/question/24663213