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2 years ago

Write the equation y=x-4 in standard form (Ax + By = C)

Mathematics

1 answer:

Molodets [167]2 years ago

3 0

Answer:

x - y = 4

Step-by-step explanation:

Given

y = x - 4 ( add 4 to both sides )

y + 4 = x ( subtract y from both sides )

4 = x - y , that is

x - y = 4 ← in standard form

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a solution of salt and water is 5 parts of salt to 25 parts of water . express the ratio of the amount of salt to the amount of

labwork [276]

Answer:

5 to 25 = 1 to 5 = 1/5 = 20%

Step-by-step explanation:

4 0

2 years ago

Substitute this equation x+3y=18 & -x-4y=-25

sveticcg [70]

Answer:

{x,y} = {3/7,-43/7}

Step-by-step explanation:

System of Linear Equations entered :

[1] x + 3y = -18

[2] -x + 4y = -25

Graphic Representation of the Equations :

3y + x = -18 4y - x = -25

Solve by Substitution :

// Solve equation [1] for the variable x

[1] x = -3y - 18

// Plug this in for variable x in equation [2]

[2] -(-3y-18) + 4y = -25

[2] 7y = -43

// Solve equation [2] for the variable y

[2] 7y = - 43

[2] y = - 43/7

// By now we know this much :

x = -3y-18

y = -43/7

// Use the y value to solve for x

x = -3(-43/7)-18 = 3/7

Solution :

{x,y} = {3/7,-43/7}

5 0

3 years ago

Find the simple interest paid to the nearest cent for each loan amount, interest rate, and time.

myrzilka [38]

Answer:

I = $ 1,937.50

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.875%/100 = 0.03875 per year,

then, solving our equation

I = 10000 × 0.03875 × 5 = 1937.5

I = $ 1,937.50

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 3.875% per year

for 5 years is $ 1,937.50.

Step-by-step explanation:

please mark brainliest:)

4 0

3 years ago

In Exercise 4, find the surface area of the solid<br> formed by the net.

Fittoniya [83]

Answer:

3. 150.72 in²

4. 535.2cm²

Step-by-step Explanation:

3. The solid formed by the net given in problem 3 is the net of a cylinder.

The cylinder bases are the 2 circles, while the curved surface of the cylinder is the rectangle.

The surface area = Area of the 2 circles + area of the rectangle

Take π as 3.14

radius of circle = ½ of 4 = 2 in

Area of the 2 circles = 2(πr²) = 2*3.14*2²

Area of the 2 circles = 25.12 in²

Area of the rectangle = L*W

width is given as 10 in.

Length (L) = the circumference or perimeter of the circle = πd = 3.14*4 = 12.56 in

Area of rectangle = L*W = 12.56*10 = 125.6 in²

Surface area of net = Area of the 2 circles + area of the rectangle

= 25.12 + 125.6 = 150.72 in²

4. Surface area of the net (S.A) = 2(area of triangle) + 3(area of rectangle)

= $2(0.5*b*h) + 3(l*w)$

Where,

b = 8 cm

h = $\sqrt{8^2 - 4^2} = \sqrt{48} = 6.9 cm} (Pythagorean theorem)w = 8 cm[tex]S.A = 2(0.5*8*6.9) + 3(20*8)$

$S.A = 2(27.6) + 3(160)$

$S.A = 55.2 + 480$

$S.A = 535.2 cm^2$

6 0

3 years ago

A line passes through (–1, 5) and (1, 3). Which is the equation of the line?

fredd [130]

Answer:

Use the slope formula and slope-intercept form y = m x + b to find the equation. y = − x + 4

7 0

3 years ago