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3 years ago

Write an inequality in slope intercept form for the graph below. if necessary use <= or >=

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

7 0

Consider this option:
1. the equation of given line is y=-x-3 (it is easy to find it using points (0;-3)&(-3;0)).
2. according to the equation of line: y≥-x-3

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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]

<u>Answer-</u>

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

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

<u>Solution-</u>

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

2 years ago

If the ratio of similarity between two similar polygons is 4:3.2, this ratio converts to

Liula [17]

Answer:

Step-by-step explanation:

7 0

2 years ago

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18) Which choice shows three lengths that cannot be the lengths of the three sides of a triangle? OA) 10 cm, 9 cm, 3 cm OB) 3 cm

Sergeu [11.5K]

Answer:b am pretty sure

Step-by-step explanation:

7 0

2 years ago

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James asked 60 pupils which drink they liked best from cola, milk and water.

Olin [163]

Answer:

Step-by-step explanation:

There are 60 pupils in the survey

32 are boys, so we assume 28 are girls

12 of the boys said cola was their favourite

4 boys liked water best.

That is a total of 16 boys who prefer either cola or water out of 32 total boys

There are 16 boys leftover who must have milk as there favourite

9 girls liked water best

21 pupils altogether said milk was there favourite. We know there are 16 boys who said milk was there favourite, meaning 5 of these pupils must be girls.

That means 9 girls have water as their favourite and 5 have milk as their favourite, a total of 14

We know there are 28 girls total. That means 14 of them must have listed cola as their favourite drink.

There are 14 girls and 12 boys who said cola was their favourite, a total of 26 pupils

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3 years ago

Divya also wants to make fruit smoothies for dessert. She purchases

Slav-nsk [51]

Answer:

$17.97

Step-by-step explanation:

add everything up

- bananas: 6(0.75) = $4.50

- rice milk: $3.49

- strawberries: 2(4.99) = $9.98

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2 years ago

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