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Aleks04 [339]
2 years ago
10

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 :))
Mathematics
1 answer:
kari74 [83]2 years ago
6 0

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

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Leya [2.2K]

Answer The unit rate in calories per cracker is 7.

(I'll add explanation if needed)

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6 0
3 years ago
2^2/5+ 3^1/10 <br> HELP ASAP
gizmo_the_mogwai [7]

Answer:

\sqrt[5]{4}  + \sqrt[10]{3}

Step-by-step explanation:

We sure can write 2^2/5+ 3^1/10 as 2^{\frac{2}{5} } + 3^{\frac{1}{10} }

// use the a^{\frac{m}{n} }  =\sqrt[n]{a^{m} } to transform the expression

Convert 2^{\frac{2}{5} } to \sqrt[5]{2^{2} } = \sqrt[5]{4}                        (here a = 2, n = 5, m = 2)

Then convert  3^{\frac{1}{10} } to \sqrt[10]{3^{1} } = \sqrt[10]{3}             (here a = 3, n = 10, m = 1)

Now we get  2^{\frac{2}{5} } + 3^{\frac{1}{10} } = \sqrt[5]{4}  + \sqrt[10]{3} . This is the simplified form, which is the answer.

6 0
3 years ago
Interior and Exterior Triangle Angles<br><br> plz help
MatroZZZ [7]

Answer:

∠ N = 41°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

6x + 1 + 3x - 10 + x + 19 = 180, simplifying

10x + 10 = 180 ( subtract 10 from both sides )

10x = 170 ( divide both sides by 10 )

x = 17

Thus

∠ N = 3x - 10 = 3(17) - 10 = 51 - 10 = 41°

3 0
2 years ago
Please explain step by step
Lorico [155]

Answer:

Line PQ

Step-by-step explanation:

diameter: straight line that passes through the centre of the circle (point O), and runs from on side of the circle to the other end (from point P to point Q)

5 0
2 years ago
The polygons are similar. Find the value of x.
dmitriy555 [2]

Answer:

x = 30

Step-by-step explanation:

 12 : 20 = 18 : x

⇒ 12/20 = 18/x

⇒ 12x = 18 · 20

⇒ 12x = 360

⇒ x = 360 ÷ 12

⇒ x = 30

7 0
2 years ago
Read 2 more answers
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