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tensa zangetsu [6.8K]

3 years ago

12

What is (2/7x-7)+(1/7x+8)

1 answer:

Bezzdna [24]3 years ago

4 0

= 3/7x + 1
add the fractions, 2/7 and 1/7 together which equals 3/7. then add -7 to 8 which equals 1.

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The given line segment has a midpoint at (3, 1).

Katena32 [7]

Answer:

$y=\frac{1}{3}x$

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through $(x_1,y_1)\ and\ (x_2,y_2)$ is:

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$ .

Therefore the line passing through (2, 4) and (4, -2) has an equation:

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10$

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

$m_1m_2=-1$ .

Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:

$m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}$

Since it is the perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:

$\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x$

the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is $y=\frac{1}{3}x$

7 0

3 years ago

Read 2 more answers

Find the number whose 8% is 48?

Black_prince [1.1K]

Answer:

Step-by-step explanation :

Let x be the number.

x × 8/100 =48

x =48 × 100/8

Now cut 48 by 8 and we get 6.

x = 6 ×100

x =600

So 600 is the required number.

8 0

2 years ago

Plz help me to answer

AVprozaik [17]

Answer:

for 3, 4 or both?

4. is probably zero

Step-by-step explanation:

Wait is 4 a question?

4 0

3 years ago

Read 2 more answers

A square has a diagonal length of 10 ft. Draw a diagram and determine the perimeter of the square.

denpristay [2]

The perimeter of the square is: $20\sqrt2$ ft

Step-by-step explanation:

The picture is attached with the answer.

the diagonal of a square divides it into two right angled-triangles.

We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle

Let a be the side of the square, then according to Pythagoras theorem

$d^2=a^2+a^2\\(10)^2 = 2a^2\\2a^2=100$

Dividing both sides by 2

$\frac{2a^2}{2}=\frac{100}{2}\\a^2=50$

Taking Square root on both sides

$\sqrt{a^2}=\sqrt{50}\\a=\sqrt{25*2}\\a=\sqrt{5^2 * 2}\\a=5\sqrt{2}\ ft$

Now,

$P = 4a\\P = 4 * 5\sqrt{2}\\=20\sqrt{2}\ ft$

Hence,

The perimeter of the square is: $20\sqrt2$ ft

Keywords: Perimeter, Pythagoras Theorem

Learn more about Square at:

#learnwithBrainly

5 0

3 years ago

Misha increased her test score from 60% to 80%.. What was the approximate percent increase of Misha's test score?. 25%. 33%. 66%

Anvisha [2.4K]

we know that

Using the original score as the basis

If Misha increased her test score from $60$ % to $80$ %

then

the increase variation is equal to

$80$ %- $60$ %= $20$ %

to find the approximate percent increase of Misha's test score we apply a rule of three

if $60$ %--------------> represents $100$ %

$20$ %----------------->x

$x=20*100/60$

$x=33.33$ %

therefore

the answer is

the approximate percent increase of Misha's test score is $33$ %

8 0

3 years ago

Read 2 more answers