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1 year ago

Which equation describes a line that passes through (-6, 8) and is parallel to the line described by y = 2x − 4?

Mathematics

1 answer:

AleksandrR [38]1 year ago

6 0

Answer:

hey, there!

Step-by-step explanation:

The given is a point (-6,8) through which a line passes. And is perpendicular to the line y = 2x-4

The equation for point (-6,8) is,

(y-8)= m1(x+6)...........(i)

and given equation is y = 2x-4............(ii)

Now, from equation (ii).

slope (m2)= 2 { as equation (ii) is in the form of y= mx+c where m is a slope}.

Now, For perpendicular,

m1×m2= -1

m1×2= -1

Therefore, m1 = -1/2.

Putting, the value of m1 in equation (i).

(y-8) = -1/2×(x+6)

2(y-8)= -1(x+6)

2y - 16 = -x -6

x+2y-10 = 0......... is the required equation.

Hope it helps...

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Naddika [18.5K]

Answer:

x=-11

Step-by-step explanation:

x+8=-3

x=-3-8 :- collect like term

since we are adding two negative numbers, we will let the number be negative but add them.

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Hope it helps :)

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2 years ago

Read 2 more answers

von has a rectangular workroom with a perimeter of 26 feet. the length of the workroom is 6 feet. what is the width of vons work

daser333 [38]

Should be 7 feet. 6+6=12 then 26-12=14, divide that by 2 (for the other two sides of the rectangle), you'll get 7 ft.

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2 years ago

MATH.... TRIANGLE JKL HAS VERTICES...

7nadin3 [17]

<h3>Answer: Choice (d)</h3>

Explanation:

To reflect over the y axis, we apply this rule

$(x,y) \to (-x,y)$

which says to flip the sign of the x term but keep the y coordinate the same.

So that means something like J(-2,5) becomes J ' (2, 5). The other points are handled in the same fashion and that leads us to choice (d). Points on the y axis will stay where they are.

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2 years ago

A specimen of charcoal found at Stonehenge contains 63% as much Carbon-14 as a sample of present-day charcoal. What is the age o

seraphim [82]

Since we are given with the identity of the chemical as Carbon-14, we obtain the half-life of the chemical from a reliable source and get a value of 5730 years. The equation that we are going to use for this item is,
A(t)/A(0) = (0.50)^(n/5730)
where A(t) is the current amount, A(0) is the initial amount and n is the number of years. We know from the given that the ratio of A(t) and A(0) is equal to 0.63. Substituting this to the given,
0.63 = 0.50^(n/5730)
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2 years ago

A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an an

Svetllana [295]

Answer:

3 feet

Step-by-step explanation:

A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an angle of 60 degrees with the ground.

ladder is 12 foot

The ladder makes an angle of 60 degrees with the ground.

It form a right angle triangle . ladder is the hypotenuse

$cos(60)=\frac{x}{12}$

$0.5= \frac{x}{12}$

multiply 12 on both sides

x= 6

the distance from the base of the ladder to the bottom of the fence

x-3 = 6-3=3 feet

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2 years ago