Answer: The last expression shows the result of 3 so it models the distance between x and y.
Step-by-step explanation:
First you will have to find the distance between the two points by square the x coordinates and squaring the y coordinates to find their sum .
-4 - (-1) = -3
-5 - ( -5) = 0
-3^2 + 0^2 = d^2 where d is the distance
9 = d^2
d= 3
The distance is 3 units
Now evaluate which expression have a solution as 3.
The last expression is the answer
the absolute value for -4 is 4 , and the absolute value for -1 is 1 and 4 minus 1 is 3.
Answer:
x = 3
Step-by-step explanation:
Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.
First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.
Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:
1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.
2) Divide 24 by both sides to get 3 = x. We use the same logic as we did for 3, except this time we divide since that's the opposite of multiplying.
In conclusion, x = 3.
Answer:
$35.75
Step-by-step explanation:
100-35=65
.65 x 55 = 35.75
<u>Given </u><u>:</u><u>-</u>
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
- To convert the given equation into standard form.
<u>Solution</u><u> </u><u>:</u><u>-</u>
As we know that the standard form of the line is ,
ax + by + c = 0
So the given equation is ,
y = 2/5x -1/3
y = 6x - 5/15
15y = 6x - 5
6x -15y -5 = 0
<u>Hence</u><u> the</u><u> required</u><u> </u><u>equation</u><u> of</u><u> the</u><u> line</u><u> is</u><u> </u><u>6</u><u>x</u><u> </u><u>-15y-5=</u><u>0</u><u>.</u>
Answer:
No.
Step-by-step explanation:
To determine if (0,0) is a solution to the inequality, substitute 0 for x and 0 for y and check to see. Thus:

Substitute 0 for x and 0 for y:

Multiply:

Subtract:

So, (0,0) is <em>not</em> a solution.
And we're done!