One equation in a system of equations is y=4x-5 write a second equation to complete the system if the solution to the system is (3,7) PLSSS BE QUICK :))

Answers

Answer 1

Answer:

4y = -x + 31

Step-by-step explanation:

Given that one equation in a system of equations is y = 4x - 5 write a second equation to complete the system if the solution to the system is (3,7)

Since the solution of the system is (3, 7), that means the two lines of equations meet or intersect at point X = 3 and Y = 7

Let assume that the two equations are perpendicular to each other. Then, there slope can be expressed as

M1M2 = -1

Where M1 = 4

Find M2

4M2 = -1

M2 = -1 / 4

Using general linear equation

Y = MX + C

Let's find C by substituting Y, X and M2

7 = -1 /4( 3 ) + C

7 = -3/4 + C

C = 7 + 3/4

C = 31/4

Substitute C back into the equation

Y = -1/4X + 31/4

4y = -x + 31

Therefore, the second equation is

4y = -x + 31


Related Questions

Whiskers the cat weighs 3 1/2 kg and Pilglio weighs 5 kg. How many times as heavy as pilglio is whiskers? How many times as heavy as whiskers is pilglio?

Answers

Given:

Whiskers the cat weighs [tex]3\dfrac{1}{2}[/tex] kg and Pilglio weighs 5 kg.

To find:

How many times as heavy as pilglio is whiskers?

How many times as heavy as whiskers is pilglio?

Solution:

We have,

Weight of cat (whiskers) = [tex]3\dfrac{1}{2}[/tex] kg

                      = [tex]\dfrac{3(2)+1}{2}[/tex] kg

                      = [tex]\dfrac{7}{2}[/tex] kg

                      =  3.5 kg

Weight of pilglio = 5 kg

Now,

[tex]\dfrac{Whiskers}{Pilglio}=\dfrac{3.5}{5}=0.7[/tex]

Therefore, whiskers is 0.7 times as heavy as pilglio.

[tex]\dfrac{Pilglio}{Whiskers}=\dfrac{5}{3.5}[/tex]

[tex]\dfrac{Pilglio}{Whiskers}=1.428571...[/tex]

[tex]\dfrac{Pilglio}{Whiskers}\approx 1.43[/tex]

Therefore, piglio is about 1.43 times as heavy as whiskers.

7x + y = 33
3x + y = 17

x=
y=
simultaneous

Answers

(x, y)=(4,5) hope this helps

I need helpppppp


Find the new amount given the original amount and the percent of change. $8: 10%. Increase The new amount is $​

Answers

$$$$$$$$$$$$$$$$$$$$$$$$$8.8

Find the value of 7w-8 given that -4w-5=3
Simplify your answer as much as possible.
7w - 8 =

Answers

Answer:

The value of 7w - 8 is -22

Step-by-step explanation:

Let us solve the question

-4w - 5 = 3

→ Move -5 from the left side to the right side by adding both sides by 5

∴ -4w - 5 + 5 = 3 + 5

∴ -4w = 8

→ Divide both sides by -4

∵ [tex]\frac{-4w}{-4}[/tex] = [tex]\frac{8}{-4}[/tex]

w = -2

→ Now let us find the value of the given expression

∵ The given expression is 7w - 8

→ Substitute w by -2 to gets its value

∴ 7w - 8 = 7(-2) - 8

∴ 7w - 8 = -14 - 8

∴ 7w - 8 = -22

The value of 7w - 8 is -22

Suppose a triangle has two sides of length 2 and 5 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
O A. J9
OB. 3
OC. 23
OD. 5

Answers

Answer:

please what did you put as the first option

Step-by-step explanation:

I think the answer is 29

Express the value of each tangent ratio to the nearest tenth or as a fraction

Answers

9514 1404 393

Answer:

  1)  5/12

  2)  4/3

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent ratio is ...

  Tan = Opposite/Adjacent

__

1) For angle Z, the ratio is ...

  tan(Z) = XY/YZ = 10/25 = 5/12

__

2) For angle C, the ratio is ...

  tan(C) = AB/BC = 20/15 = 4/3


The diagram shows a right-angled triangle.
14 cm
hcm
47°
What is the value of h?
Give your answer correct to 1 decimal place.

Answers

Answer:

The diagram shows a right-angled triangle.

14 cm

hcm

47°

What is the value of h?

Give your answer correct to 1 decimal place.

19.1

−90x+10y=110
5x+10y=15


Using elimination process. How on earth do you answer this problem. Please be very detailed with what you are doing. It's very confusing.

Answers

It’s x= -1. I explained what you need to do in each step!

In ΔWXY, w = 170 inches, x = 590 inches and y=630 inches. Find the measure of ∠Y to the nearest 10th of a degree.

Answers

Answer:

95.7

Step-by-step explanation:

Just trust.

Answer:

95.7

Step-by-step explanation:

Delta Math


List a, b, and c for the following Quadratic: 2x2 + 5x + 3 = 0

Answers

Answer:

a = 2

b = 5

c = 3

Evaluate the expression b2- 15 if b=9

Answers

Answer:

3

Step-by-step explanation:

just plug in 9 to b

9x2=18 18-15=3

Please help me with the questions

Answers

Step-by-step explanation:

.................b = 37.8

Find the equation of the line described.
Perpendicular to y = 3x + 6; passing through the point (4,5).
The line equation is y =

Answers

Answer:

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{19}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 6 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] , thus

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c , substitute (4, 5) into the partial equation

5 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = 5 + [tex]\frac{4}{3}[/tex] = [tex]\frac{19}{3}[/tex]

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{19}{3}[/tex] ← equation of perpendicular line

A garden is designed in the shape of a rhombus formed
from 4 identical 30°-60°-90° triangles. The shorter
distance across the middle of the garden measures 30
feet.
What is the distance around the perimeter of the
garden?
60 ft
60 ft
120 ft
30°
0 120/5 ft
60
15 ft
15 ft
Mark this and return
Save and Exit
Next
Subtni

Answers

Answer:

120ft.

Step-by-step explanation:

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet. What is the distance around the perimeter of the garden? 120ft.

The perimeter of the rhombus is P = 120 feet

What is the perimeter of Rhombus?

A Rhombus has four sides of the same length, its perimeter can be determined using the formula Perimeter = 4a, where "a" stands for the side's length.

When the two diagonals of a rhombus are known,

The perimeter = 2√p² + q²

where 'p' and 'q' are the diagonals.

Given data ,

Let the rhombus be represented as ABCD

Let the side length of the rhombus be AB = 30 feet

And , perimeter = 2√p² + q²

And , P = AB + BC + CD + AD

Due to the four triangles' similarity, we may conclude that AC is divided at O. So, we are aware that AO = 15 feet.

In ΔAOD,

(Perpendicular/hypotenuse) = sin 30°

or, 1/2 = 15/AD

otherwise, AD = 15 x 2 = 30 ft

So, AD equals 30 feet.

Given that all of a rhombus' sides are equal and all four of its triangles are the same, we have AB = BC = CD = AD = 30 feet.

On simplifying , we get

P = 4 ( 30 feet )

So , P = 120 feet

Hence , the perimeter is 120 feet

To learn more about perimeter of rhombus click :

https://brainly.com/question/4321700

#SPJ7

5/3 + 1/8
Help nowwwww pls help

Answers

Step-by-step explanation:

5×8/3×8 + 1×3/8×3

=43/24

=43/24

Answer:

1 19/24

Step-by-step explanation:

Which graph represents an odd function?

Answers

C ...........................

pls helppppppppppppppppppppppppppppppppppppp

Answers

Answer:

y=1/2x+1

Step-by-step explanation:

Use the formula y=mx+b

rise/run- it goes up ONE and over TWO

the y intercept is (0,1)

put it all together y=1/2x+1

What is the slope and y-intercept

Answers

slope is 5/4 and y-intercept is -4
hope this helps

y= -16x²+130x+4
What is the answer?​

Answers

Answer:

There is no answer. The equation cannot be simplified any further.



Find the total surface area of this cuboid.
5 cm
4 cm
6 cm

Answers

Answer:

The surface area of given cuboid is: 148 square centimeters

Step-by-step explanation:

Let

l = 5

w = 4

h = 6

The cuboid has 6 rectangular surfaces.

The surface area of a cuboid with height h, length l and width w is given by:

[tex]TSA = 2 ( lw+wh+hl )[/tex]

Putting the values

[tex]TSA = 2(5*4 + 4*6 + 6*5)\\= 2(20+24+30)\\=2(74)\\=148\ cm^2[/tex]

Hence,

The surface area of given cuboid is: 148 square centimeters

2.43 × 3.7 please i nedd help

Answers

Step-by-step explanation:

2.43 × 3.7

Answer:-8.99100

DO YOU LIKE MARVEL
IF YOU DO SAY YES AND WHO IS YOUR FAVOUTITE CHARACTER

Answers

Answer:

I love Spider-Man and its entire series and the comics.But my most favorite is Black Panther not cause he died its just because I believe that its cool that marvel portraits a black superhero since nick fury

No, I Dont like marvel...

I LOOOOOOVVVEEEE MARVELLLL!!!!

And BY BY FAR SPIDERMAN IS MY FAVOURITE!!!

lol great question!

MTFBWY

12x+3=15x

show how u got the answer

Answers

Answer:

x = 1

Step-by-step explanation:

Given

12x + 3 = 15x ( subtract 12x from both sides )

3 = 3x ( divide both sides by 3 )

1 = x

Answer: x=1

Step-by-step explanation: So we're solving for x right but slight problem x is on both sides of the equation so we have to fix this. we can subtract 12x from both sides to get 12x-12x=0 and 15x-12x=3x so now we have 3x=3 to find x divide by 3 on both sided since 3/3=1 so 3x divided by 3 equals 1x or x and 3 divided by 3 is 1 so x=1

Math

12x+3=15x

-12x     -12x

   3=3x

    /3

    1=x

Plot the line for the equation on the graph.
y-4=-1/4(x-5)

Answers

First point given: (5,4)
Y = -1/4x + b
4 = -1/4(5) + b
4 = -5/4 + b
b = 2.75
Equation: y = -1/4x + 2.75

Find three points
(5,4), (9,5), (1,3)
Plot these and draw a line

a rectangular sign is 4 times its width if the perimeter is 20 inches what is the signs area.

Answers

Answer: 1,600 cubic inches

Step-by-step explanation: 20x4=80 multiply both sides 80x20=1,600 cubic inches

i will mark answer brainliest

Answers

Answer:

its 17.3 or 18.0 feet

Step-by-step explanation:

someone convert 58.6...... into a fraction thank you!

Answers

586/10 -> 293/5 -> 58 3/5

Answer:

293/5

Step-by-step explanation:

Write 58.6 as

58.6/1

Multiply both numerator and denominator by 10 for every number after the decimal point

58.6 × 10

1 × 10= 586/10

Reducing the fraction gives

293/5

peter has 4 more 50 dollar bills than 10 dollar bills in his wallet if the total amount of his money is 380 dollars how many ten dollar bills does peter have

Answers

Answer:

3

Step-by-step explanation:

7*50=350

7-4=3

3*10=30

350+30=380

Given that f(x) = x2 + 10x + 21 and g(x) = x + 3, find f(x) · g(x) and express the result in standard form.

Answers

Answer:

We conclude that:

[tex]f\left(x\right)\cdot g\left(x\right)=x^3+13x^2+51x+63[/tex]

Step-by-step explanation:

Given

[tex]f\left(x\right)=\left(\:x^2\:+\:10x\:+\:21\right)[/tex]

[tex]g(x)=x+3[/tex]

Determining f(x) · g(x)

[tex]f\left(x\right)\cdot g\left(x\right)=\left(\:x^2\:+\:10x\:+\:21\right)\times \left(x+3\right)[/tex]

Distribute parentheses

                 [tex]=x^2x+x^2\times \:3+10xx+10x\times \:3+21x+21\times \:3[/tex]

                 [tex]=x^2x+3x^2+10xx+10\times \:3x+21x+21\times \:3[/tex]

                 [tex]=x^3+3x^2+10x^2+30x+21x+63[/tex]

Add similar elements: [tex]3x^2+10x^2=13x^2[/tex]

                 [tex]=x^3+13x^2+30x+21x+63[/tex]

Add similar elements: [tex]30x+21x=51x[/tex]

                 [tex]=x^3+13x^2+51x+63[/tex]

Therefore, we conclude that:

[tex]f\left(x\right)\cdot g\left(x\right)=x^3+13x^2+51x+63[/tex]

URGENT!

Write the equation of the ellipse graphed below.

I already asked this question but still no answer, sadly.

Answers

\Answer:

[tex]\displaystyle \frac{(x-7)^2}{4}+\frac{(y+2)^2}{36}=1[/tex]

Step-by-step explanation:

Equation of The Ellipse

Given the center (h,k) and the length of the major and minor axis, we can write the equation of the ellipse as follows:

[tex]\displaystyle \frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

If the major axis is a, then the ellipse is horizontal, if the major axis is b, then the ellipse is vertical.

The ellipse shown in the figure is centered at (7,-2). The major axis is b and it can be found by measuring the distance from the center up or down to any vertex. We find b=6 and a=2.

Thus, the equation of the ellipse is:

[tex]\displaystyle \frac{(x-7)^2}{2^2}+\frac{(y+2)^2}{6^2}=1[/tex]

Operating:

[tex]\mathbf{\displaystyle \frac{(x-7)^2}{4}+\frac{(y+2)^2}{36}=1}[/tex]

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