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3 years ago

A line with a slope of – 5 passes through the points (3,n) and (4, – 5). What is the value of n?

2 answers:

5 0

Step-by-step explanation: To find n, plug all the given information into the slope formula, which is shown here: m = y₂ - y₁ / x₂ - x₁.

Since our slope or <em>m</em> equals -5, we start

by plugging a -5 in for <em>m</em> in our formula.

Now, y₂ - y₁ would be -5 - n and x₂ - x₁ would be 4 - 3.

So we have -5 = -5 - n/4 - 3.

First we would simplify 4 - 3 to get 1.

So in our next step we have -5 = -5 - n/1.

Now get rid of the fraction by multiplying both sides by 1

and since multiplying anything by 1 is itself, just cancel the 1.

So we have -5 = -5 - n.

Add 5 to both sides to get 0 = -n.

Divide both sides by -1 to get 0 = n.

So the value of n is 0.

masha68 [24]3 years ago

3 0

Answer:

n = 0

Step-by-step explanation:

slope = y2-y1/x2-x1

-5 -n / 4-3 = -5

-5 -n /1 =-5

-5 - n = -5

n = 0

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2 years ago

What is the value of x? Enter your answer in the box. x = A triangle with vertices labeled as A, B, and C. Side B C is the ba

Savatey [412]

Answer:

x = 5

Step-by-step explanation:

For better explanation of the solution, see the attached diagram of the problem :

The triangle angle bisector theorem states that the line which bisects an angle of a triangle divides the opposite two sides of the triangle in two equal segment which are proportional to the other two sides of the triangle.

Now, from the diagram : AD is the angle bisector angle B

$\implies\frac{AB}{AC}=\frac{BD}{CD}\\\\\implies \frac{9}{15} = \frac{(2x-1)}{(3x)}$

On Cross multiplication :

⇒ 9 × 3x = 15 × (2x - 1)

Using the distributive property,

⇒ 27x = 15×2x - 15×1

⇒ 27x = 30x - 15

Subtract 30x from each side:

⇒ 27x - 30x = 30x - 15 - 30x

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⇒ x = 5

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2 years ago

6th Grade Math! Can you please help?

horrorfan [7]

Answer:it is c and d

Step-by-step explanation:

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2 years ago

If each quadrilateral below is a parallelogram,find the missing measures

Rufina [12.5K]

Answer:

Step-by-step explanation:

We will use parallelogram properties to answer our given problems.

(1) Since we know that opposite sides of parallelogram are congruent, therefore measure of side MN and side KN will be equal to the measure of their opposite sides.

LM=KN and KL=MN

Upon substituting our given values we will get,

45=KN and 31=MN

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

We have been given , therefore .

We will find measure of angle K by using supplementary angles.

By opposite angles of parallelogram .

(2) Opposite sides of parallelogram are equal. Therefore, CF=DE and FE=CD.

Upon substituting our given values we will get,

CF=10 and FE=15.

Property: Diagonals of parallelogram bisect each other.

So CE will be 2 times CG and GD will be half the length of FD.

(3) Property: Opposite sides of parallelogram are congruent.

and

Upon substituting our given values we will get,

and

Property: Diagonals of parallelogram bisect each other.

So SQ will be 2 times TQ and PT will be half the length of PR.

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

Alternate interior angles.

Opposite angles of parallelogram.

Therefore, measure of angle QRS will 74 degrees.

Alternate interior angles.

Now let us find measure of angle PSQ.

The image is not clear, so I am unable to answer the last two problems.

Step-by-step explanation:

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3 years ago

F(x)=x^2-12x-85 provide the zeros of the function

Salsk061 [2.6K]

Answer:

Two zeros are 17 and -5

Step-by-step explanation:

Given:

f(x) = x² - 12x - 85

Find:

Zeros of the function

Computation:

f(x) = x² - 12x - 85

f(x) = x² - (17 - 5)x - 85

f(x) = x² - 17x + 5x - 85

f(x) = x(x - 17) + 5(x - 17)

f(x) = (x - 17) (x + 5)

So,

x - 17 = 0 , x + 5 = 0

So,

x = 17 , x = -5

Two zeros are 17 and -5

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3 years ago