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3 years ago

13

Find equation where line passes through (7,8) and perpendicular to line y=8

1 answer:

forsale [732]3 years ago

5 0

Since in y=8, the slope is 0 (because there is no x) and b is 8 in y=mx+b, we know that the perpendicular line is x=(something) because the perpendicular lines of y=<number> are x=<number> due to that y=<number> equations are strictly horizontal while x=<number> equations are strictly vertical. Since we know that x=<number> has to pass through (7, 8), x =7

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A person wants to grow potatoes in his backyard. His backyard plot is 60ft by 60 ft and he can plant 2 potatoes for every square

Fantom [35]

Answer:

1800 potatoes

Step-by-step explanation:

60ft x 60ft = 3600 square feet

3600/2=1800

8 0

3 years ago

What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

$\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4)$ = $(\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)$

$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

$A = -\frac{5}{3}$

Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

7 0

3 years ago

The figure is the net for a rectangular prism.

Montano1993 [528]

The answer is 174

Hope This Helps ^_^

6 0

3 years ago

Plzz help solve the given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no

zloy xaker [14]

Answers:

<h3>x = 3</h3><h3>One solution</h3><h3>Identity</h3>

Step-by-step explanation:

In algebra, the goal is always to isolate the variable, so that its value can be determined.

<h3>Step 1: Use distributive property to remove parentheses</h3>

2x + 4x - 4 = 2 + 4x

<h3>Step 2: Add like terms</h3>

6x - 4 = 2 + 4x

<h3>Step 3: Subtract 4x</h3>

We need all variables on one side to solve, so subtract 4x from both sides.

2x - 4 = 2

<h3>Step 4: Add 4</h3>

2x = 6

<h3>Step 5: Divide by 2</h3>

x = 3

<h3>Step 6: Check</h3>

2(3) + 4(3) - 4 = 2 + 4(3)

6 + 12 - 4 = 2 + 12

14 = 14 ✔

<h3>Step 7: How many solutions?</h3>

The given equation has only one solution.

<h3>Step 8: Identity, a contradiction or neither?</h3>

The given equation is an identity.

<h3>Step 9: Answers</h3>

x = 3

One solution

Identity

I'm always happy to help :)

3 0

3 years ago

You score 84 points in six games.Find the unit rate

Nitella [24]

14 points per game is the unit rate

4 0

3 years ago