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solmaris [256]
3 years ago
10

Write the equation of a line through points (5,5) and (1,0) in point-intercept form.

Mathematics
1 answer:
Sati [7]3 years ago
7 0

Answer:

The slope-intercept form is y = 5/4x - 5/4 and the point-slope form is y - 0 = 5/4(x - 1)

Step-by-step explanation:

There is no such thing as point-intercept form. There is point-slope form and slope-intercept form. To find either of those, you can follow the steps below.

First find the slope of the equation using the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - 0)/(5 - 1)

m = 5/4

Now we can use the slope along with a point to get the point-slope form.

y - y1 = m(x - x1)

y - 0 = 5/4(x - 1) ------->THIS IS POINT-SLOPE

Now to get slope-intercept, solve for y

y - 0 = 5/4(x - 1)

y = 5/4x - 5/4

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Find the sum: <br> 1+10+19+28…, n=16
saveliy_v [14]

Answer:

1

Step-by-step explanation:

1+10+19+28=58

sum=58+n

58+16=74

the answer is 74

7 0
2 years ago
Uma piscina possui 5 m de comprimento, 3 m de largura e 2,5 m de profundidade. Calcule: a) A quantidade de azulejo necessária pa
Westkost [7]

Answer:

a) 70 azulejos

b) 37500 litros

c) 37.5m³

Step-by-step explanation:

A piscina tem 5 m de comprimento, 3 m de largura e 2,5 m de profundidade.

Comprimento = 5m

Largura = 3m

Profundidade (altura) = 2,5 m

Calcular:

a) A quantidade de ladrilhos necessária para cobrir a piscina

Isso é calculado como a área de superfície da votação

A = 2 (wl + hl + hw)

A = 2 × (3 × 5 + 2.5 × 5 +2.5 × 3)

A = 70 m²

Observe que:

1 m² = 1 azulejo

70 m² = 70 azulejos

b) A quantidade de água que pode caber na piscina.

1 m³ = 1000 litres

O volume de uma piscina = Comprimento × Largura × Altura

= 5m × 3m × 2.5m

= 37.5m³

1 m³ = 1000 litros

37.5m³ =

37.5 × 1000 litros

= 37500 litros

c) seu volume em m³

O volume de uma piscina = Comprimento × Largura × Altura

= 5m × 3m × 2.5m

= 37.5m³

7 0
3 years ago
Round 14494 to the nearest thousand feet
klasskru [66]
14,000 because 494 would round down since it is not above 500.

7 0
3 years ago
A house on the market was valued at $245,000. After several years, the value increased by 9%. By how much did the house's value
aniked [119]

We are given that a house had a value of $245000 and its value was increased by 9%. To determine how much is this value increase in dollars we need to multiply the value of the house by 9/100. We get this:

245000\times\frac{9}{100}=22050

Therefore, the increase in dollars is $22050. Now, to determine the current value we need to add the increase to the previous value, we get:

245000+22050=267050

Therefore, the current value of the house is $267050.

6 0
11 months ago
A number, x, rounded to 2 significant figures is 1300<br>Write down the error interval for x.​
nikitadnepr [17]

Answer:

[1250,1350).

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., 1250\leq x\leq 1300     ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., 1300\leq x       ...(2)

On combining (1) and (2), we get

1250\leq x < 1350

1350 is not included in the error interval for x.​

Interval notation is [1250,1350).

Therefore, the error interval for x is [1250,1350).

7 0
3 years ago
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