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3 years ago

What would the answer be, also how do I work it out ?

Mathematics

1 answer:

Lelu [443]3 years ago

7 0

Answer:

The distance is √58

or 7.61577...

Step-by-step explanation:

If you draw a right triangle where the given line is the hypotenuse you can use Pythagorean theorem (a²+b²=c²) to find the length.

It would be 7 units tall and 3 units wide.

7²+3²=49+9=58

The distance is √58

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Help me pls! I don't understand my math omg

never [62]

Answer:

correct

Step-by-step explanation:

maybe

4 0

3 years ago

Please help :) I have no clue & math isn’t my strong subject.

melisa1 [442]

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

Solution:

Given line $y=\frac{4}{7} x+4$ .

Slope of this line, $m_1$ = $\frac{4}{7}$

$$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }$

$$m_2=\frac{-1}{m_1}$

$$=\frac{-1}{\frac{4}{7} }$

Slope of perpendicular line, $m_2=\frac{-7}{4}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$y-y_1=m(x-x_1)$

$$y-(-7)=\frac{-7}{4} (x-5)$

$$y+7=\frac{-7}{4} x+\frac{35}{4}$

Subtract 7 from both sides, we get

$$y=\frac{-7}{4} x+\frac{7}{4}$

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

To find the parallel line:

Slopes of parallel lines are equal.

$m_1=m_3$

$$m_3=\frac{4}{7}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$$y-(-7)=\frac{4}{7} (x-5)$

$$y+7=\frac{4}{7} x-\frac{20}{7}$

Subtract 7 from both sides,

$$y=\frac{4}{7} x-\frac{69}{7}$

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

7 0

3 years ago

How to solve this problem

Murrr4er [49]

$\frac{4}{6} = \frac{12}{18}$
$\frac{2}{9} =\frac{4}{18}$

$\frac{12}{18}-\frac{4}{18} = \frac{12-4}{18} = \frac{8}{18}$

$\frac{8}{18} = \frac{4}{9} = \frac{16}{36}=\frac{24}{54}$

4 0

3 years ago

Read 2 more answers

( PLEASE HELP) The points (3,-2) (-3,-2) and (-3,6) are the vertices of a triangle. Find the perimeter of the triangle. (Hint: U

True [87]

Look at the picture.

$x^2=6^2+8^2\\\\x^2=36+64\\\\x^2=100\to x=\sqrt{100}\to x=10$

The perimeter of the triangle:

$P_\Delta=6+8+10=24$

6 0

3 years ago

14. The figure shows a slice of an apple pie in the shape of a sector of a circle with centre O and radius 8cm. A cut is made al

Strike441 [17]

Step-by-step explanation:

(i) Using the law of cosines, we can find that

$cos(O) = \frac{8^{2}+8^{2} - 7^{2}}{8*8*2}$ ≈ 0.62, so O ≈ 0.9

(ii) Since the whole pie has 2π radians (or 360 degrees), we can divide 0.9 by 2π to get around 6.9 slices from the pie

(iii) The area of the shaded segment can be found by finding sector OAB and subtracting triangle OAB from that. Sector OAB can be found by finding the area of the pie (π*8², since 8 is the radius) and dividing that by 6.9, so we get 64π/6.9 ≈ 29. Then, the area of the triangle is √p(p-a)(p-b)(p-c), with p being the perimeter and a, b, and c being the sides. Plugging 7, 8, and 8 in, we get 25.1781 as our area, so the difference is around 3.8

4 0

3 years ago