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Vlad [161]
2 years ago
12

HELP slope = 1; y-intercept =8

Mathematics
2 answers:
lbvjy [14]2 years ago
8 0

Given :-

  • slope = 1
  • y intercept = 8

To find :-

  • The equation of the line .

Solution :-

<u>We </u><u>know</u><u> that</u><u> </u><u>,</u>

  • y = mx + c

<u>On </u><u>substituting</u><u> </u><u>,</u>

  • y = 1*x + 8
  • y = x + 8
Gala2k [10]2 years ago
3 0

Answer:

y = mx + c \\ m =  1 \\ c = 8 \\ y = 1x + 8 \\ y = x + 8

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The scale on a map is 1cm: 7km. If two cities are 15cm apart on the map, what is the actual distance between the cities?
Vitek1552 [10]

Answer:

105km

Step-by-step explanation:

1/7=15/x

So x=7*15

x=105

8 0
3 years ago
On a car trip , the number of miles driven , m , is proportional to the number of gallons of gas used , g , as shown in the tabl
FrozenT [24]

Answer:

  m = 32g

Step-by-step explanation:

The proportion between m and g can be written ...

  m = kg

where k is the constant of proportionality.

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We can find its value by dividing by g:

  k = m/g

Using any pair of corresponding values from the table, we find ...

  k = 64/2 = 32

The relationship between m and g can be expressed by the equation ...

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3 0
2 years ago
in chess, Justin won 20 games, tied 8 games, and lost 14 games last year. What is Justin’s ratio of total games to tied games
zhuklara [117]
Problem: In chess, Justin won 20 games, tied 8 games, and lost 14 games last year. What is Justin’s ratio of total games to tied gamesSolutions:=> There are a total of 20 games=> 8 of them were tied=> 14 games were lost.Now, let's find the ratio of the tied games to the total games.=> Since the total game is 20 and the tied games are 8, therefore the ratio will be:<span>=> 8 : 20, where 8 are the tied games and 20 is the total</span>
7 0
3 years ago
Read 2 more answers
The string of a flying kite is being held five feet off the ground. It makes a 60 degree angle with one side parallel to the gro
VashaNatasha [74]

Answer:

Maria is right

Height=265 ft

Step-by-step explanation:

In the attached diagram, the length of the kite is BC and the height of the Kite above the ground is CE.

Now, CE=CD+DE

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Next, we have to determine the length of CD.

In Triangle BCD

sin\:60^\circ=\frac{|CD|}{300} \\|CD|=300*sin 60\\|CD|\approx260\:ft

Therefore:

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From the above, we see that <u>Maria is right.</u>

Billy erroneously applied the wrong trigonometric ratio (Cosine) which made him get a value of 150ft.

5 0
3 years ago
If f(x)= x2 - 4x - 4, find the input values that make the function 0.
olchik [2.2K]

Step-by-step explanation:

f(x) = x² - 4x - 4

the general formula for solving such a quadratic equation (for f(x) = 0) is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = -4

x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =

= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)

x1 = 2 + 2×sqrt(2)

x2 = 2 - 2×sqrt(2)

6 0
3 years ago
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