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3 years ago

Write a linear equation for a line that passes through point(2, 3) with a slope of 1/2

Mathematics

1 answer:

aalyn [17]3 years ago

8 0

Answer:

y = 1/2x + 2

Step-by-step explanation:

y = 1/2x + b

3 = 1/2(2) + b

3 = 1 + b

2 = b

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0.3 is a decimal, so it means that (for example) 0.07 is less than 0.3 because in theory 0.07 is a half decimal . So anything th

Pie

Ya that is correct.

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3 years ago

What is 0.59 in words

Sophie [7]

Answer:

fifty nine hundredths

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3 years ago

Read 2 more answers

3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie

allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0

3 years ago

Evaluate [3+(8-2)]x5

photoshop1234 [79]

Answer:

Step-by-step explanation:

Subtract the numbers

(3+(8-2)). x5

[3+6)]. x5

Add the numbers

[3+6]. x5

[9]. x5

8 0

3 years ago

What is the length of the diagonal of a square with a side that measures 11 centimeters

timofeeve [1]

A square has 4 equal sides
use pythagroeas theorem since a square has 4 right angles

a^2+b^2=c^2
a=b because the sides are equal (11)

11^2+11^2=c^2
242=c^2
square root both sides
11√2=c

the diagonal legnth is 11√2 centimiters

4 0

3 years ago