All categories

3 years ago

Write an equation for the line shown on the graph.

Mathematics

1 answer:

Elza [17]3 years ago

7 0

your answer would be y=2/3x+1

You might be interested in

Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.

leonid [27]

Answer-

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

$12x-5y+14=0 \\ 12x-5y-14=0$

Solution-

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1$

$\Rightarrow 12h-5k-1=\pm 13$

$\Rightarrow 12h-5k=\pm 14$

$\Rightarrow 12h-5k=14,\ 12h-5k=-14$

$\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0$

$\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0$

Two equations are formed because one will be upper from the the given line and other will be below it.

4 0

3 years ago

Sections of prefabricated fencing are each 4 1/3 feet long. how long are 6 1/2 sections placed end to end

zalisa [80]

we know that

$4\frac{1}{3}= \frac{(4*3+1)}{3} =\frac{13}{3}$

$6\frac{1}{2}= \frac{(6*2+1)}{2}=\frac{13}{2}$

To find how long are $6\frac{1}{2}$ sections placed end to end

Multiply the number of sections by the length of one section

$\frac{13}{2} *\frac{13}{3} =\frac{169}{6}\ ft$

$\frac{169}{6}\ ft =28\frac{1}{6}\ ft$

therefore

the answer is

$28\frac{1}{6} \ ft$

6 0

3 years ago

Read 2 more answers

Need help urgently with this geometry question

soldi70 [24.7K]

Answer: x = 52

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

How can bees dying affect all four spheres of the Earth? (lithosphere, biosphere, atmosphere, and hydrosphere)

labwork [276]

Answer:

Step-by-step explanation:

For example, the atmosphere mixes down into the other spheres and releases precipitates; the hydrosphere overlaps onto land surfaces and water vapor rises up into the atmosphere; the biosphere reaches up into the atmosphere, down into soils and rock, and throughout the oceans, exchanging gases, water and nutrients

7 0

3 years ago

Please answer

GuDViN [60]

The answer is going to be d

3 0

3 years ago