The sum of two numbers is 53. the larger number is 1 less than 2 times the smaller. what are the two numbers? 20 and 33 19 and 34 18 and 35 17 and 36

18 and 35

Step-by-step explanation:

Let the two numbers be x and y, where x is the larger number and y is the smaller one.

We are given that the sum of these two number is 53, which can be written as:

--- (i)

Now, the larger number x is 1 less than 2 times the smaller number y. So we can write it as:

--- (ii)

Substituting the value of x in (i) to get:

Put this value of y in (i) to find x:

Therefore, the two numbers are 18 and 35.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)