What is the horizontal distance from the origin to the point (1,4)

Answer:

(-2,-3)

Step-by-step explanation:

Put the equations over each other.

[tex] \binom{x - y = 1}{ - x + 3y = - 7 } [/tex]

Subtract the x values.

[tex] \binom{ - y = 1}{3y = - 7} [/tex]

Subtract on both sides.

[tex]2y = - 6[/tex]

Divide on both sides.

[tex]y = - 3[/tex]

Insert the y value into one of the equations.

[tex]x - ( - 3) = 1[/tex]

Get rid of the parenthesis.

[tex]x + 3 = 1[/tex]

Subtract on both sides.

[tex]x = - 2[/tex]

You could also individually plug in each solution into both equations to see if they are true.

Answer:

so first you want to mulitply the 5,5,5.8, and 8 together to get 1160 then take away 464 from 1160 to get 696. then you add all of the numbers up to get 719.8 ten subtract .75 from that and you get 719.05. then take the cubic feet and get 200 then taky away 200 from 719.05 and get 519.05 then do that again

Step-by-step explanation:

219.05

The equation of the ravine function is an illustration of a quadratic function

It will take 1.5 seconds for the music player to fall to the bottom of the ravine

The equation of the function is given as:

[tex]t = \sqrt{\frac{8t + 24}{16}}[/tex]

Take the square of both sides

t² = (8t + 24)/16

Multiply both sides by 16

16t² = 8t + 24

Divide through by 8

2t² = t + 3

Set the equation to 0

2t² - t - 3 = 0

Expand the equation

2t² + 2t- 3t - 3 = 0

Factorize the equation to 0

2t(t + 1)- 3(t + 1) = 0

Factor out t + 1

(2t- 3)(t + 1) = 0

Expand

2t- 3 = 0 or t + 1 = 0

Solve for t

t= 1.5 or t =- 1

Time cannot be negative.

So, we have:

t = 1.5

Hence, it will take 1.5 seconds for the music player to fall to the bottom of the ravine

Read more about quadratic functions at:

https://brainly.com/question/1214333

Answer:

Triangle JLK congruent to Triangle RTS is the only true statement

Step-by-step explanation:

AngleJKL is not corresponding to AngleRTS because AngleRTS is a right angle and AngleJKL is not.

The triangles are congruent by HL because one leg and the hypotenuse are congruent.

Triangle congruence can be determined so the third statement is incorrect.

TR is not congruent to KJ. TR=3.7 and KJ=4.5

Answer:

The point at f(-3) is at (-3,1).

Step-by-step explanation:

To find the y-value of a function at a specific point by using the graph, keep in mind that the x-axis is the axis that lies horizontally on the graph.

So, look along the horizontal line through the center until you find where x = -3. Now find the corresponding y-value to that x-value by looking above or below that point until you find where it intersects the graph. When you find that point, look to see what number the point corresponds with on the y-axis. In this case, it corresponds to y = 1.

Remember that ordered pairs are formatted as (x,y).

Hope this helps.

Answer:

Step-by-step explanation:

If this is a parallelogram., this means that the opposite angles are congruent. Thus, the erasure of angle E is equal to the measure of angle G.

So, 10x-21=4x+27, meaning x=8.

Therefore, the measure of angle E is 10(8)-21=59 degrees

Answer:

8 in

Step-by-step explanation:

A 45-45-90 triangle is a special triangle with side length ratio 1 : 1 : √2

The legs are equal in length.

The length of the hypotenuse is √2 times the length of a leg.

Therefore, if the hypotenuse of a 45-45-90 triangle is 8√2 inches, the leg lengths are 8 inches each in length.

Answer:

Any ratio where the original sides are both multiplied by the same number.

For example,

4 : 5  (your ratio)

4 x 2 : 5 x 2  (multiply both sides by a number)

8 : 10   (equivalent ration)

Answer:

x = 3/2

y = 5/2

Step-by-step explanation:

x + y = 4

x = y - 1

substitute y - 1 in for x in the first equation, to find y

y - 1 + y = 4

2y - 1 = 4

add 1 on both sides

2y - 1 = 4

+1 +1

2y = 5

divide by 2 on both sides

2y/2 = 5/2

y = 5/2

subtitute y in for the second equation, to find x

x = 5/2 - 1

x = 5/2 - 2/2

x = 3/2

so x = 3/2 and y = 5/2

to double check, plug x and y in the first equation

3/2 + 5/2 = 4

8/2 = 4

4 = 4

Answer:

I may be wrong but I think the missing side is 7.

Step-by-step explanation:

because 40 minus 8 is 32 so I did 15 minus 8 and got 7

The missing length is 18

Using Pythagorean rule

Hyp^2 = Opp^2 + adj^2

Opp^2 = hyp^2 - adj^2

Opp^2 = 30^2 - 24^2

Opp^2 = 900 - 576

Opp^2 = 324

Opp = sqrt ( 324 )

Opp = 18

Answer:

Rs 200

Step-by-step explanation:

100/104×Rs 208

Rs 200

S.P = 208

4%×208=8.32

208-8.38=199.68

Therefore, C.P = ₹199.68

so approximately C.P = ₹200

Answer:

h=3/2. V=3(root)3

Step-by-step explanation:

Answer:

D. f(x) = x - 4

Step-by-step explanation:

If you plug in the x values for the expression x - 4:

3 - 4 = -1
4 - 4 = 0
5 - 4 = 1
6 - 4 = 2
This means that the function rule is f(x) = x - 4
Hope this helps :)

Answer:

72.6

Step-by-step explanation:

180-107.4 = 72.6

Answer:

negative

Step-by-step explanation:

The good part about this question is you don't have to know the actual values of b or c, otherwise, I would be stumped too.

Given:

b is within 0 -> 1 b is positive

c is within -1 -> -2, c is negative

[tex]\frac{b}{c}[/tex] = b/c. When you have a fraction and one numerator is positive while the denominator is negative (or visa-versa, numerator is negative and denominator is positive), then the answer will ALWAYS be negative

so +b/-c = negative result

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

Convert to vertex form by completing the square

[tex]y=2x^2+16x-5\\\\y=2(x^2+8x-\frac{5}{2})\\ \\y+2(\frac{37}{2})=2(x^2+8x-\frac{5}{2}+\frac{37}{2})\\ \\y+37=2(x^2+8x+16)\\\\y+37=2(x+4)^2\\\\y=2(x+4)^2-37[/tex]

Since the equation is now in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex], so, the axis of symmetry is [tex]x=-4[/tex].

Answer:

x=-4

Step-by-step explanation:

i took the test

total mass = mass of a bag of candy + mass of a chocolate bar

total mass = 80g +110g = 190g

Answer: 121.875 ounces of orange dye

Step-by-step explanation: 8 ÷ 195 = 24.375

24.375 x 5 = 121.875

Answer:

Center: (3,-1)

Radius: 3

Step-by-step explanation:

Given:

[tex]\displaystyle \large{x^2+y^2-6x+2y+1=0}[/tex]

First, we have to convert the following standard circle equation to this:

[tex]\displaystyle \large{(x-h)^2+(y-k)^2=r^2}[/tex]

where h is horizontal shift, k is vertical shift and r is radius.

That means we have to complete the square for both x-term and y-term.

Rearrange the equation:

[tex]\displaystyle \large{x^2-6x+y^2+2y+1=0}\\\displaystyle \large{(x^2-6x)+(y^2+2y+1)=0}[/tex]

For [tex]\displaystyle \large{y^2+2y+1}[/tex], can be converted to perfect square as [tex]\displaystyle \large{(y+1)^2}[/tex]. Hence:

[tex]\displaystyle \large{(x^2-6x)+(y+1)^2=0}[/tex]

For the x-terms, we have to find another value that can complete the square. We know that [tex]\displaystyle \large{(a\pm b)^2 = a^2 \pm 2ab + b^2}[/tex].

For [tex]\displaystyle \large{x^2-6x}[/tex] can be [tex]\displaystyle \large{x^2-2(x)(3)+3^2 \to x^2-6x+9}[/tex]. So our another value is 9.

[tex]\displaystyle \large{(x^2-6x+9-9)+(y+1)^2=0}[/tex]

From above, we add -9 because the original expression isn’t actual perfect square.

Separate -9 out of [tex]\displaystyle \large{x^2-6x+9}[/tex]:

[tex]\displaystyle \large{(x^2-6x+9)-9+(y+1)^2=0}[/tex]

Transport -9 to add another side:

[tex]\displaystyle \large{(x^2-6x+9)+(y+1)^2=9}[/tex]

Complete the square:

[tex]\displaystyle \large{(x-3)^2+(y+1)^2=9}[/tex]

Finally, we have our needed equation to find radius and center. The coordinate of center is defined as the point (h,k) from [tex]\displaystyle \large{(x-h)^2+(y-k)^2=r^2}[/tex] and the radius is defined as r.

Hence, from the equation:

The coordinate of center is (3,-1) with radius equal to 3.

Answer:

  (a)  140 sandwiches

Step-by-step explanation:

The total number sold can be found from the given relation:

  56 sandwiches = 40% × total sold

__

Dividing by the coefficient of the variable, we find ...

  total sold = (56 sandwiches)/0.40 = 140 sandwiches

The total number of sandwiches sold last week was 140.

Answer:

8a + 24

Step-by-step explanation:

Use Distributive property: a(b +c) = a*b + a*c

Here a = 8 ;  b= a & c = 3

8(a + 3) = 8*a + 8*3

            = 8a + 24

Answer:

3

Step-by-step explanation:

Answer: The correct answer is 3

Step-by-step explanation:

:) it should be correct have a good day!

Answer:

[tex]\displaystyle \textcolor{black}{4.}\:[-3, -5][/tex]

[tex]\displaystyle \textcolor{black}{3.}\:[8, -1][/tex]

[tex]\displaystyle \textcolor{black}{2.}\:[4, -7][/tex]

[tex]\displaystyle \textcolor{black}{1.}\:[3, -2][/tex]

Step-by-step explanation:

When using the Elimination method, you eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:

[tex]\displaystyle \left \{ {{2x - 3y = 9} \atop {-5x - 3y = 30}} \right.[/tex]

{2x - 3y = 9

{⅖[−5x - 3y = 30]

[tex]\displaystyle \left \{ {{2x - 3y = 9} \atop {-2x - 1\frac{1}{5}y = 12}} \right. \\ \\ \frac{-4\frac{1}{5}y}{-4\frac{1}{5}} = \frac{21}{-4\frac{1}{5}} \\ \\ \boxed{y = -5, x = -3}[/tex]

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

[tex]\displaystyle \left \{ {{x - 2y = 10} \atop {x + 3y = 5}} \right.[/tex]

{x - 2y = 10

{⅔[x + 3y = 5]

[tex]\displaystyle \left \{ {{x - 2y = 10} \atop {\frac{2}{3}x + 2y = 3\frac{1}{3}}} \right. \\ \\ \frac{1\frac{2}{3}x}{1\frac{2}{3}} = \frac{13\frac{1}{3}}{1\frac{2}{3}} \\ \\ \boxed{x = 8, y = -1}[/tex]

_______________________________________________

[tex]\displaystyle \left \{ {{y = -3x + 5} \atop {y = -8x + 25}} \right.[/tex]

{y = −3x + 5

{−⅜[y = −8x + 25]

[tex]\displaystyle \left \{ {{y = -3x + 5} \atop {-\frac{3}{8}y = 3x - 9\frac{3}{8}}} \right. \\ \\ \frac{\frac{5}{8}y}{\frac{5}{8}} = \frac{-4\frac{3}{8}}{\frac{5}{8}} \\ \\ \boxed{y = -7, x = 4}[/tex]

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

[tex]\displaystyle \left \{ {{y = -x + 1} \atop {y = 4x - 14}} \right.[/tex]

{y = −x + 1

{¼[y = 4x - 14]

[tex]\displaystyle \left \{ {{y = -x + 1} \atop {\frac{1}{4}y = x - 3\frac{1}{2}}} \right. \\ \\ \frac{1\frac{1}{4}y}{1\frac{1}{4}} = \frac{-2\frac{1}{2}}{1\frac{1}{4}} \\ \\ \boxed{y = -2, x = 3}[/tex]

_______________________________________________

I am joyous to assist you at any time.

Answer:

172 cm

Step-by-step explanation:

The total height of the first 7 people is the average of the 7 people multiplied by the number of people, which is 156 * 7 or 1092. Using the same method, the total height of the first 8 people is 158*8 or 1264. The eighth person must be 1264 - 1092 cm tall or 172 cm tall.  

Answer:

The order of operations says that operations must be done in the following order: parentheses, exponents, multiplication, division, addition, and subtraction. You can also create a little phrase to go along with this, like "Please Excuse My Dear Aunt Sally." Whatever you choose, make sure that you know all six steps of the order of operations very well. The order of operations tells us the order to solve steps in expressions with more than one operation. First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right.

Step-by-step explanation:

hope this helps :)

Answer:

$2,400

Step-by-step explanation:

First we need to find whatever that 5% is.

[tex]\frac{5}{100} \times \frac{2000}{1}[/tex]

Which gives us $100.

Now, we multiply the $100 by 4.

Which is $400.

Now, we add that to the $2,000.

Which gives us $2,400.

Sorry for the late reply but hope this helps

6 red face cards

->in favour:

6/52

= 3/26

-> against:

52-6= 46

46/52

=23/26