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Radda [10]
3 years ago
8

HURRY BRAINLIEST ALREADY TAKEN BUT WOULDN'T IT BE NICE TO KNOW YOU HELPED SOMEONE? :)

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0
The distance between Angela's house and the gas station, is the distance between the points (4,3) and (10,8). To find that distance, we are going to use the distance formula: d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

From our two points we can infer that x_1=4, y_1=3, x_2=10, and y_2=8. So lets replace those values in our ditance formula:
d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
d= \sqrt{(10-4)^2+(8-3)^2}
d= \sqrt{(6)^2+(5)^2}
d= \sqrt{36+25}
d= \sqrt{61}

We can conclude that the gas station is \sqrt{61} units, which is approximately 7.8 units, from her house.  
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The cost of a company picnic varies directly as the number of employees attending the picnic. If a company picnic costs $362.25
Nataliya [291]

Answer:  

 So basically just 362.25 x 83 = 30066.75

6 0
3 years ago
Graph the system of linear inequalities, please explain the process in solving this problem so I know how to do ones similar to
astra-53 [7]

Answer:

See attached. (Both inequalities graph to the same region.)

Step-by-step explanation:

To graph an inequality, you first replace the inequality symbol by an equal sign. Then you graph the line (or curve) described by the equation. If the inequality symbol includes the "or equal to" case, then the line (or curve) is solid and is part of the solution set. If not, then the line (or curve) is dashed and is <em>not part of the solution set</em>.

Here, the line x+y=5, will bound the solution set, but is not part of it.

Note that the line -x -y = -5 (from the second inequality) is the same ilne.

_____

After you have graphed the boundary of the solution region, you need to determine which side of the boundary has the solutions. I find it easy to do this by locating an x- or y-term with a positive coefficient and seeing which side of the inequality symbol that lies on. Here, both the x-term and the y-term lie on the "is greater than" side of the symbol, so the half-plane is shaded above and to the right of the line, where x- and y-values are greater than they are on the line.

In the second inequality, you can multiply the whole thing by -1 to get

... x + y > 5 . . . . same as the first inequality

or you can add (x+y) to both sides to get

... 0 < -5 +x +y

Once again, the x- and y-values that satisfy this are greater than those that are on the boundary line.

_____

The graph seems to show only one equation. Both are there, but the dashed blue line sits on top of the dashed red line, so you can't see it. The purple shading indicates both red and blue shading in the same area.

===== =====

Of course you graph the boundary line the way you would any linear equation. In this form, it is not too difficult to see that both the x- and y-intercepts are 5. (When x=0, y=5; and when y=0, x=5 for the boundary line's equation x+y=5.) Draw the dotted line through these intercept points, add shading above, and you have your graph.

6 0
3 years ago
WILL MARK BRAINLIST On the coordinate plane below, plot and label each point.
kogti [31]
Red is the positive integers and blue is the negative integer.

5 0
3 years ago
5x + (1x+6)= 78<br> BARDZO POTRZEBUJĘ
kifflom [539]

Answer:   x = 12

Step-by-step explanation:  

1. add 5x + 1x which will equal 6x so now your equation is:  6x + 6 = 78

2. subtract 6 from 78 to get 72:  6x = 72

3. divide 72 by 6x to get your answer 12

5 0
3 years ago
Read 2 more answers
HELP PLEASE ILL GIVE U BRAINLIEST
vladimir1956 [14]

Answer:

number 3

Step-by-step explanation:

angleNGL=~angleHGF

6 0
2 years ago
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