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3 years ago

13 1 point Given the equation y = 4x – 3. What is the slope of a parallel line?

Mathematics

2 answers:

bija089 [108]3 years ago

7 0

y = − 4 x

I can't give you the "chart" lets say.

Mice21 [21]3 years ago

7 0

Answer:

The answer to your question is 4

Step-by-step explanation:

Data

Equation y = 4x - 3

slope = ?

When we have an equation of a line and we are asked to get the slope we can get it in different ways:

-If we have the equation in the slope y-intercept form (y = mx + b), the slope is the coefficient of the x.

-If we have the equation in the general formula (Ax + By + C = 0), the slope is (-A/B).

For this problem the slope is 4, parallel lines have the same slope.

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12.) Write y = 1/6 x + 7 in standard form using integers.

Trava [24]

Option A

-x + 6y = 42 is the standard form

<u>Solution:</u>

Given that we have to write $y = \frac{1}{6}x+7$ in standard form

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

Given equation is:

$y = \frac{1}{6}x+7$

Let us convert the above equation into standard form

$y = \frac{x}{6} + 7$

$y = \frac{x}{6} + \frac{7}{1}$

Make the denominator same in R.H.S

$y = \frac{x}{6} + \frac{7 \times 6}{1 \times 7}$

Solve the above equation

$y = \frac{x}{6} + \frac{42}{6}$

$y = \frac{x+42}{6}$

Move 6 from R.H.S to L.H.S

$6y = x + 42$

Bring all the terms to one side, leaving only constant on R.H.S

$-x + 6y = 42$

The above equation is of form Ax + By = C

Thus option A is correct

3 0

3 years ago

One of the vertices of an equilateral triangle is on the vertex of a square and two other vertices are on the not adjacent sides

Elina [12.6K]

<h2>Answer:</h2>

<em> The side of the triangle is either 38.63ft or 10.35ft</em>

<h2>Step-by-step explanation:</h2>

This problem can be translated as an image as shown in the Figure below. We know that:

The side of the square is 10 ft.
One of the vertices of an equilateral triangle is on the vertex of a square.
Two other vertices are on the not adjacent sides of the same square.

Let's call:

Since the given triangle is equilateral, each side measures the same length. So:

x: The side of the equilateral triangle (Triangle 1)

y: A side of another triangle called Triangle 2.

That length is the hypotenuse of other triangle called Triangle 2. Therefore, by Pythagorean theorem:

$\mathbf{(1)} \ x^2=100+y^2$

We have another triangle, called Triangle 3, and given that the side of the square is 10ft, then it is true that:

$y+(10-y)=10$

Therefore, for Triangle 3, we have that by Pythagorean theorem:

$(10-y)^2+(10-y)^2=x^2 \\ \\ 2(10-y)^2=x^2 \\ \\ \\ \mathbf{(2)} \ x^2=2(10-y)^2$

Matching equations (1) and (2):

$2(10-y)^2=100+y^2 \\ \\ 2(100-20y+y^2)=100+y^2 \\ \\ 200-40y+2y^2=100+y^2 \\ \\ (2y^2-y^2)-40y+(200-100)=0 \\ \\ y^2-40y+100=0$

Using quadratic formula:

$y_{1,2}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ y_{1,2}=\frac{-(-40) \pm \sqrt{(-40)^2-4(1)(100)}}{2(1)} \\ \\ \\ y_{1}=37.32 \\ \\ y_{2}=2.68$

Finding x from (1):

$x^2=100+y^2 \\ \\ x_{1}=\sqrt{100+37.32^2} \\ \\ x_{1}=38.63ft \\ \\ \\ x_{2}=\sqrt{100+2.68^2} \\ \\ x_{2}=10.35ft$

<em>Finally, the side of the triangle is either 38.63ft or 10.35ft</em>

5 0

3 years ago

Read 2 more answers

I need help with twenty seven

Elanso [62]

Ben is taller
Ben: 5 5/16 feet = 1.61925 meters
Marcus: 5 7/24 feet = 1.6129 meters

3 0

3 years ago

How can you use proportional reasoning to solve problems?

qwelly [4]

Proportional thinking analyzes proportions to address questions. We can utilize relative thinking to tackle a few inquiries straightforwardly, for example, which size of clothing cleanser is the least expensive per load, for sure the components of the model vehicle ought to be.

7 0

2 years ago

The following linear programming problem has been written to plan the production of two products. The company wants to maximize

KonstantinChe [14]

Answer:

250

Step-by-step explanation:

It appears your profit function is ...

150x1 +250x2

This tells us the profit for each unit of product 2 is 250.

6 0

3 years ago