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3 years ago

Writing a linear equations

Mathematics

2 answers:

Ket [755]3 years ago

6 0

Answer:
-1/7
Hope that helped

REY [17]3 years ago

4 0

Answer:

y=4/15x

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b

Where m is the slope of the line,

b is the y-intercept

it passes trough point (0;0) ⇒ b=0 ⇒ y=mx

it passes trough point (7.5;2) ⇒ 2=7.5m ⇒ m=2/7.5=4/15

y=4/15x

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2 years ago

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3 years ago

Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away

Lena [83]

Answer:

The height of the tree=8.42 m

Step-by-step explanation:

We are given that

Height of Joshua, h=1.45 m

Length of tree's shadow, L=31.65 m

Distance between tree and Joshua=26.2 m

We have to find the height of the tree.

BC=26.2 m

BD=31.65m

CD=BD-BC

CD=31.65-26.2=5.45 m

EC=1.45 m

All right triangles are similar .When two triangles are similar then the ratio of their corresponding sides are equal.

$\triangle ABD\sim \triangle ECD$

$\frac{AB}{EC}=\frac{BD}{CD}$

Substitute the values

$\frac{AB}{1.45}=\frac{31.65}{5.45}$

$AB=\frac{31.65\times 1.45}{5.45}$

$AB=8.42m$

Hence, the height of the tree=8.42 m

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3 years ago