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3 years ago

9

Construct the line perpendicular to KL at point M.

2 answers:

guapka [62]3 years ago

5 0

Based on the options given in the picture

The one that would be the result if we construct the line that perpendicular to KL at point M would be :

picture C

hope this helps

nadezda [96]3 years ago

4 0

Answer:

Option C is correct which is the line perpendicular to KL at point M.

Step-by-step explanation:

We have given some options or pictures about the perpendicular line KL at point M.

We need to find the correct option which is true about perpendicular line.

We know that, steps of construction:

Draw a line KL.
Put the compass on the point K, and draw an arc above and below the line KL.
Do the same on the point L, and draw an arc above and below the line KL.
Draw a line, where the arcs are cut to each other, perpendicular to line KL and the point which lie on the line Kl is called point M.

Therefore, option C is correct which follows the steps of construction given above.

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Two points A and B whose heights differ by 10 metres are shown 1.2 cm apart horizontally on a map whose scale is 1: 10 000. a) W

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Answer:

120 meters

Step-by-step explanation:

1.2 x 10 000 = 12000 cm = 120 meters

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2 years ago

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Concider the functions: f(x)= (2/3)x and g(x)=(2/3)x-3+2. Which statement is true regarding the vertical and horizontal translat

ioda

The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.

<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>

For a given function f(x), we can write a vertical translation of n units as:

g(x) = f(x) + n

If n < 0, the translation is downwards.
if n > 0, the translation is upwards.

And a horizontal translation of n units as:

g(x) = f(x + n).

if n > 0, the translation is to the left.
if n < 0, the translation is to the right.

Here we have:

f(x) = (2/3)*x

g(x) = (2/3)*(x - 3) + 2

By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.

So the correct option is B.

If you want to learn more about translations:

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2 years ago

Math help questions <br>

Evgen [1.6K]

After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.

After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.

And so on. After t years, the investment would have a value of $\$800 \times 1.07^t$ .

We want the find the number of years n such that

$\$856 \times 1.07^n = \$1400$

Solve for n :

$856 \times 1.07 ^n = 1400$

$1.07^n = \dfrac74$

$\log_{1.07}\left(1.07^n\right) = \log_{1.07}\left(\dfrac74\right)$

$n \log_{1.07}(1.07) = \log_{1.07} \left(\dfrac74\right)$

$n = \log_{1.07} \left(\dfrac74\right) = \dfrac{\ln\left(\frac74\right)}{\ln(1.04)} \approx \boxed{8.3}$

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2 years ago

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3 years ago

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