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1 year ago

What is the equation of the line AB, if it passes through (-4,0), and is parallel to the line

Mathematics

1 answer:

Karo-lina-s [1.5K]1 year ago

6 0

Rewriting the equation of the given line in slope-intercept form,

$-x-4y=1\\\\-4y=x+1\\\\4y=-x-1\\\\y=-\frac{1}{4}x-\frac{1}{4}$

From this, we know the slope of the given line is -1/4.

Since parallel lines have the same slope, we know the line whose equation we want to find has a slope of -1/4.

Substituting into point-slope form,

$y=-\frac{1}{4}(x+4)\\\\\boxed{y=-\frac{1}{4}x-1}$

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Question number 1 You are comparing the costs of producing jewelry at two different manufacturers. Company 1 charges $3.25 per p

Assoli18 [71]

The value of x at equal total cost is 266.67

Here, we want to solve the equation to get the x-value that shows the total costs for the two companies are equal

We proceed as follows;

$\begin{gathered} 3.25x\text{ + 400 = 2.50x + 600} \\ 3.25x-2.50x\text{ = 600-400} \\ \\ 0.75x\text{ = 200} \\ \\ x\text{ = }\frac{200}{0.75} \\ x\text{ = 266.67} \end{gathered}$

4 0

3 months ago

I need help pleaseeeee

riadik2000 [5.3K]

Answer is D
Please mark me as brainless if right

5 0

2 years ago

Which is equivalent to 23·2-5? A) 2-15 B) 2-8 Eliminate C) 2-2 D) 22

bulgar [2K]

2^3 * 2^-5 = 2^(3 + (-5) = 2^(3 - 5) = 2^-2

4 0

2 years ago

Give the equation of the circle centered at the origin and passing through the point (0,5)

Julli [10]

Answer:

$x^{2} +y^{2}=25$

Step-by-step explanation

The standard equation of a circle centered at origin is $x^{2} +y^{2} =r^{2}$

r = radius of the circle

The circle is passing through the point (0,5)

∴ radius $r=\sqrt{(0-0)^{2}+(5-0)^{2} }$

$r=\sqrt{0+25}$

$r=\sqrt{25}$

$r^{2}=25$

∴ The equation of the circle is

$x^{2} +y^{2} = 25$

5 0

2 years ago

NEED HELP ASAP! Question in the photo.

Sonja [21]

Answer:

SAS Postulate

Step-by-step explanation:

You can use the SAS (side, angle, side) postulate that says "if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent"

Side AB is proportionate to DE and

Side AC is proportionate to DF.

Angle A and Angle D are the same; and is between the two sides

I hope this helps.

6 0

2 years ago