Triangle PQR is an isosceles triangle with the coordinates P(2, 3), Q(5, 10), and R(8,3).

What is the area of triangle PQR

Step-by-step explanation:

Step-by-step explanation:

1.A

2.A

3.A

4.C

5.A

6.A

7.C

8.D

9.A

10.C

11.C

12.C

13.D

14.B

15.B

16.A

17.C

18.A

19.B

20.C

21.B

22.D

23-27 Write in

First find the slope:

   m = ( 2 - 1 ) / ( 0 - (-1) ) = 1 / 1 = 1

Set up slope-intercept form:

  y = 1·x +2

Now move x and y to the left and leave 2 on the right:

  -x + y = 2

This is also equivalent to x - y = -2, so that just depends if you want your x coefficient to be positive or negative.

Answer:

Standard form: x - y = -2

Step-by-step explanation:

The standard form of linear equations is Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.

Given the two points, we must first solve for the value of the slope.

Let (x₁, y₁) = (-1, 1)

    (x₂, y₂) = (0, 2)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (2 - 1)/[0 - (-1)]

m = 1/(0 + 1) = 1

Therefore, the value of the slope, m = 1.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis.  The y-intercept is also the value of y when x = 0.  One of the given points happens to be the y-intercept, (0, 2). Its y-coordinate is the value of b in the slope-intercept form, y = mx + b. Substitute the slope and the y-intercept into the equation:

y = mx + b

y = x + 2

Next, we need to rewrite the slope-intercept form into its standard form, Ax + By = C:

y = x + 2

Subtract x from both sides:

- x + y = x - x + 2

-x + y = 2

Multiply both sides of the equation by -1, so that the coefficient of x becomes a positive integer:

(-1) (-x + y) = 2(-1)

x - y = -2  ⇒ This is the standard form where A = 1, B = -1, and C = -2

Answer:

t= 7

Step-by-step explanation:

2(t +4)= 7 +5(t -4)

Expand:

2t +2(4)= 7 +5t +5(-4)

2t +8= 7 +5t -20

2t +8= 5t -13

Bring constants to one side, t terms to the other:

5t -2t= 13 +8

Simplify:

3t= 21

Divide both sides by 3:

t= 21 ÷3

t= 7

Answer:

[tex]a_{14} = 10496[/tex]

Step-by-step explanation:

A geometric sequence is of the form:

[tex]ar^0, ar^1, ar^2, ar^3, \cdot \cdot \cdot[/tex]

So the given values can be represent as:

[tex]1. \quad ar^5 = \frac{41}{256}\\2. \quad ar^{10} = -164[/tex]

So you have a system of equations with two unknows [tex]a[/tex] and [tex]r[/tex]. Then you can find one unknow in terms of the other.

[tex]a = \frac{-164}{r^{10}}[/tex]

Now replace [tex]a[/tex] in the first equation

[tex]\frac{-164}{r^{10}}r^5 = \frac{41}{256}\\\frac{-164}{r^{5}} = \frac{41}{256}\\r^5 = \frac{256 \cdot -164}{41} = -\frac{41984}{41}\\r = \sqrt[5]{-\frac{41984}{41}}\\[/tex]

You don't have to worry about the negative number inside the root, because is a odd root then you can find odd negative numbers that give me the desire result.

[tex]r = -\frac{4\sqrt[5]{41} }{\sqrt[5]{41}} \\r = -4[/tex]

For find [tex]a[/tex] only replace [tex]r[/tex] in whatever of the two equations.

[tex]-a4^5 = \frac{41}{256}\\-a1024 = \frac{41}{256}\\a = -\frac{41}{262144}[/tex]

After find [tex]a[/tex] and [tex]r[/tex] use the next formula for find the [tex]14^{th}[/tex] term.

[tex]ar^{13} = x\\-\frac{41}{262144} \cdot -4^{13} = x\\\\10496 = x[/tex]

Answer:

[tex]x=\pm 4\sqrt2[/tex]

Step-by-step explanation:

Left hand side is a positive number. Right hand side is positive. The equation should have real roots. (worst case, the root would be complex, but let's not open that can of worm)

Let's start noticing that [tex]32 = 2^5 =4^2\cdot 2[/tex] and then take the square root of both sides, remembering that we need to take a plus or minus sign ( both a and -a squared give the same result!)

[tex]x= \pm \sqrt{4^2\cdot2}=\pm 4\sqrt2[/tex]

The Jupiter is 6.93 times farther  from the Sun than Venus

The Saturn is 6.29 times farther from the Sun than Mars

Distance between the sun and Jupiter = 748.02 million km

Distance between the sun and venus = 108.01 million km

Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 748.02/108.01

Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 6.93

Therefore, the Jupiter is 6.93 times farther  from the Sun than Venus

Distance between the Sun and Saturn = 1.4823 billion km = 1482.3 million km

Distance between the Sun and Mars = 235.66 million km

Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 1482.3/235.66

Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 6.29

Therefore, the Saturn is 6.29 times farther from the Sun than Mars

Learn more here: https://brainly.com/question/25729845

Answer:

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Common mathematical problems involve choosing only several items from a set of items with a certain order.

Answer:

Permutations mean each of several possible ways in which a set or number of things can be ordered or arranged.

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

22 dollars

Step-by-step explanation

If you multiply 88* the percent you will get 22. That means that Lily's dad will contribute 22 dollars to buying her tablet.

Step-by-step explanation:

if you are looking for the matrix or matrices then

L=2x2

p=2x2

q=2x1

m=4x2

n=4x2

This is cause the formula to get these is RxC or R=rows and C=columns

(i hope this is it, if not comment and lemme know)  

Answer:

40

Step-by-step explanation:

Answer:

50.05 feet

Step-by-step explanation:

The tower have 32.57 feet, and you can find it using the same method than I used in your other question

Now you find the length of the guy wire using the Pythagorean theorem:

38²+32.57² = guy wire²

2504.8 = guy wire²

guy wire = √2504.8

guy wire = 50.05 feet

Answer:

Step-by-step explanation:

Answer:

average - $19,333.33

Step-by-step explanation:

$28,300, $27,000 , and $ 3,000

total =58,000/3 = 19,333.33

Answer:

y = 2x + 13 or -2x + y = 13

Step-by-step explanation:

1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...

2y = -x + 6 - > y = -1/2x + 3

2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...

y = 2x + b

3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)

3 = 2(8) + b

3 = 16 + b

-13 = b

b = 13

4) Now, we know that b = 13 and the slope is 2. Therefore...

y = 2x + 13

Also note, if you want this equation in standard form, it would be...

-2x + y = 13

Answer:

[tex]\frac{25}{1000}[/tex] = 0.025

[tex]\frac{20}{50}[/tex] = 0.4

[tex]\frac{3}{50}[/tex] = 0.06

[tex]\frac{2}{3}[/tex] = 0.(66) or 0.66666666666666666

Answer:

66/7 or 9.429 or 9  [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

6/7=x/11

Multiply by 11 to get x alone

Multiply (6/7) by 11 to get 9.42857143=x

Answer:

73 degrees

Step-by-step explanation:

Alternate interior angles: 123 is angle ACS, so that means PAC has the same value as this because PQ and RS are parallel.

So, now just subtract 50 from 123 to get x.

Answer:

p=2

Step-by-step explanation:

6p-3=-9+2(p+7)

6p-3=-9+2p+14                       Distributive Property

6p-3=2p+5                              Combine like terms/ Simplify

   +3       +3

━━━━━━

6p=2p+8                                  Addition Property of Equality

-2p  -2p

━━━━━━

4p=8                                         Subtraction Property of Equality

━  ━

4     4

p=4                                            Division Property of Equality

Answer:

27x5=135

Step-by-step explanation:

Answer:

135$

Step-by-step explanation:

27x5 equals 135$

Would appreciate brainliest

Answer:

The shorter side is 6.

The perimeter is 26.4 inches.

The area is 43.2 inches[tex]^{2}[/tex]

Step-by-step explanation:

The ratio 5;6 and the given longer side is 7.2 in.

Since it is the longer side, the '6' in the ratio is 7.2 in.

Let x be the shorter side

5:6 = x : 7,2

Divide 7.2 to 6.

7.2 ÷ 6 = 1.2

Then multiply 1.2 to 5.

1.2 * 5 = 6

So the shorter side is 6.

L = 7.2

W = 6

Now to find the perimeter, let's use the formula

P = 2L + 2W

Let's put the values in the formula

P = 2(7.2) + 2(6)

P = 14. 4 + 12

P = 26.4

The perimeter is 26.4 inches

To find the area, let's use the formula

A = LW

A = (7.2)(6)

A = 43. 2 inches[tex]^{2}[/tex]

Answer:

shorter side= 6

p= 26.4  

a= 43.2

Step-by-step explanation:

Answer:

[tex]y=8(0.7)^x[/tex]

Step-by-step explanation:

Next, the battery life decreases by 30% per year. You didn't state if this is linear or exponential, so I'll assume exponential because linear doesn't make much sense in this case..

For an exponential function, the battery life will be decreasing by 30% over the previous year, not over the original. Decreasing by 30% is multiplying by 70%, or just 0.7.

Exponential form:

[tex]y=a(b)^x[/tex]

where a is the original value and b is the percent change.

In your question:

[tex]y=8(0.7)^x[/tex]

The function that represents the battery life y after x years is y = 8(0.7)ˣ.

A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.

Now it is given that,

Battery life starts = 8 hours

Annual decrease rate = 30% = 0.30

So, battery life after an year = 100% - 30% = 70% = 0.7

Now if battery life y after x years

Annual decrease rate after x years = (0.7)ˣ

Thus battery life, y = 8(0.7)ˣ

Thus, the function that represents the battery life y after x years is y = 8(0.7)ˣ.

Learn more about exponential functions at

brainly.com/question/11464095

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Answer:

B. (top right) 6y - 5x = 18

Step-by-step explanation:

Is the equation of the given line

y = -6/5 x - 7?

The x is missing.

If so, then the slope of the given line is -6/5.

A perpendicular line has a slope that is the negative reciprocal of -6/5, so we need a slope of 5/6.

A.

6x - 5y = 30

-5y = -6x + 30

y = 6/5 x - 6

Here the slope is 6/5, so this is not it.

B.

6y - 5x = 18

6y = 5x + 18

y = 5/6 x + 3

This is it.

C.

6x + 5y = 20 has negative slope, so it is not it.

D.

5x + 6y = 42 has negative slope, so it is not it.

Answer: 5 mins 110 words10 mins 220 words.

Step-by-step explanation: Tia types 66/3 = 22 words per minute.

Therefore in 5 mins she types 5*22 = 110 words and in 10 mins she types

22 * 10 = 220 words. Hope this helps! lol!

60

Step-by-step explanation:

Answer:

470.1

Step-by-step explanation:

Since this is a parabola that opens down, the maximum height is where the graph has a horizontal tangent line.

This is where the derivative=0

Since it is a parabola that opens down, we do not need to test the sides of the point where the derivative=0 as the vertex is a local maximum and the only point with a horizontal tangent.

y=[tex]-16x^2+146x+137[/tex]

y'=[tex]-32x+146[/tex]=0

-32x+146=0

x=[tex]\frac{146}{32}[/tex]=[tex]\frac{73}{16}[/tex] This is the x-coordinate of the vertex

Now plug this back into the original equation to find the maximum height.

f(73/16)=[tex]-16(\frac{73}{16})^2+146(\frac{73}{16} )[/tex]+137

=[tex]\frac{-73^2}{16} +666.125+137[/tex]

=-333.0625+666.125+137

=470.0625

To the nearest tenth this is 470.1

Total number of people = 364

Number of people in 1 van = 12

Number of vans required = ?

Number of vans required = 364 / 12

= 30.33

But there's a remainder, so for the remaining few people to go you'll need an extra van. So, you need 31 vans.

=》Answer = option C. 31

______

RainbowSalt2222 ☔

Answer:

got ub the naswers is 5x+y==6

Step-by-step explanation: