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Dominik [7]
2 years ago
7

Please help me asap ty :)

Mathematics
2 answers:
babunello [35]2 years ago
4 0

\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}

The line parallel to y = 5x + 9 is given in the form of y = mx + c. Here,

  • m = slope
  • c = y-intercept (x = 0)

The new line will have a y-intercept and a slope of line which is given by y = 5x + b. The point on line is (-2, -3).

Placing this point in the upper equation,

:\implies\rm{ - 3 = 5( - 2) + b}

:\implies\rm{ - 3 = - 10 + b}

:\implies\rm{ - 3 + 10 = b}

:\implies\rm{7 = b}

Placing b = 7 in equation we get,

:\implies\rm{y = 5x + b}

:\implies\rm{y = 5x + 7}

Art [367]2 years ago
3 0

Answer:

y = 5x+7

Step-by-step explanation:

Parallel lines have the same slope so y = 5x+9 is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 5

The new line will have a slope of 5

y = 5x+b

We know a point on the line (-2,-3)

Substitute this point into the equation

-3 = 5(-2)+b

-3 = -10+b

-3+10 = b

7 = b

y = 5x+7

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Step-by-step explanation:

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3 years ago
PLEASE HELP!!!!! How many 4-digit numbers divisible by 5, all of the digits of which are even, are there?
saul85 [17]

Answer:

I assume you know Arithmetic Progression .

so, we have to find the first and last 4-digit number divisible by 5

first = 1000 ,  last =  9990

we have a formula,   a_{n} = a + (n-1)d

here, a_{n} is the last 4-digit number divisible by 5.

n is the number of 4-digit even numbers divisible by 5

d is the common difference between the numbers, which is 10 in this case

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2 years ago
In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to
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Step-by-step explanation:

These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.

a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.

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The first 5 terms are 3, -6, 12, -24, 48.

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The explicit formula for the terms of a geometric sequence is ...

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Using the given values of a1 and r, the explicit formula for this sequence is ...

  an = 3(-2)^(n -1)

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