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9966 [12]
3 years ago
13

find the larger of two consecutive integers,x, if the sum of the smaller and larger is -9. write an equation and solve

Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer:

-4

Step-by-step explanation:

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Write an equation in point-slope form for the line that has a slope of 45 and contains the point (−5,−3).
olga55 [171]

Answer:

y+3=45(x+5)

Step-by-step explanation:

Hi there!

Point-Slope Form:

y-y1=m(x-x1)

Where

y1 stands for the y-coordinate of the point

m stands for the slope of the line

x1 stands for the x-coordinate of the point

In this case, the slope is 45, the y-coordinate of the given point is -3, and the x-coordinate of the point is -5.

Plug in the values and solve:

y-y1=m(x-x1)

y-(-3)=45(x-(-5)

y+3=45(x+5)

Hope it helps!

Enjoy your day!

Please feel free to ask if you have any doubts.

\bf{MysteriousSparkle}

8 0
2 years ago
The last term of an arithmetic sequence is 14 and the ninth term is -1. Find the first four
Olegator [25]

Answer:

13

Step-by-step explanation:

where n is the number of terms, a1 is the first term and an is the last term. The sum of the first n terms of an arithmetic sequence is called an arithmetic series . Example 1: Find the sum of the first 20 terms of the arithmetic series if a1=5 and a20=62 .An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. ... As with any recursive formula, the initial term of the sequence must be given. An explicit formula for an arithmetic sequence with common difference d is given by an=a1+d(n−1) a n = a 1 + d ( n − 1 ) .

8 0
2 years ago
the distance between two towns on a map is 6cm. the actual distance between 2 towns is 48km what is the scale on the map​
kodGreya [7K]

Answer:

1 cm=8 km

Step-by-step explanation:

We can use a ratio to determine the scale.  Take the distance on the map  on the left and the "real distance" on the right

6 cm=48 km

Divide by 6

6 cm/ 6 = 48 km /6

1 cm=8 km

4 0
2 years ago
Which expression is equivalent to 14x – 21?
Vlad1618 [11]
The common factor is 7 so its

7(2x - 3)

8 0
2 years ago
What is the domain and range of <br> f(x)=2x^2+6x+2
lbvjy [14]

As is the case for any polynomial, the domain of this one is (-infinity,  +infinity).

To find the range, we need to determine the minimum value that f(x) can have.  The coefficients here are a=2, b=6 and c = 2,

The x-coordinate of the vertex is  x = -b/(2a), which here is x = -6/4 = -3/2.

Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on.  That happens to be y = -5/2, so the range is [-5/2, infinity).

3 0
3 years ago
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