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3 years ago

Put the number in the boxes m

Mathematics

1 answer:

ella [17]3 years ago

7 0

Answer:

Step-by-step explanation:

25 in m<MNT 6 in <mNTQ

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Find the missing length of the triangle.

allsm [11]

Hey there!

Solve using pythagoras theorem (it's given that is triangle is right angled. Pythagoras theorem only works in the case of right triangles) ⇨ Hypotenuse² = Base² + Altitude ²

Here,

Base = 9 mm

Hypotenuse = 15 mm

Altitude = b

Hypotenuse² = Base² + Altitude ²

15² = 9² + b²

225 = 81 + b²

225 - 81 = b²

144 = b²

√144 = b

12 mm = b

Hope it helps ya!

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3 years ago

What is the equation of a line with a x-intercept of −2 and a y-intercept of 10?

IceJOKER [234]

Hey there! :)

Answer:

y = 5x + 10

Step-by-step explanation:

From the information given, we can derive the points (-2, 0) and (0, 10). Find the slope using the slope formula:

$m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$

Plug in the points:

$m= \frac{10 - 0}{0 - (-2)}$

Simplify:

$m= \frac{10}{2}$

m = 5.

The equation in slope-intercept form is y = mx + b. We were already given the b value, or y-intercept as y = 10. Therefore:

y = 5x + 10 is the equation written in slope-intercept form.

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This is very basic stuff.

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