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lions [1.4K]
3 years ago
14

The inequality 7-2/3x < x-8

Mathematics
1 answer:
romanna [79]3 years ago
8 0
Am going to presume you want it solved.
Please pardon my presumption

7 - (2/3)x < x - 8,    Take all the x to one side of the inequality
-(2/3)x-x <  - 8 -7
-(5/3)x <  - 15    Divide both sides by -5/3  and inequality sign changes

x  >  (-15)/(-5/3)

x >    15  * 3/5        .     5 into 15 is 3.

x  >  3*3

x >    9

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Which of the following shows the length of the third side, in inches, of the triangle below? (1 point)
GrogVix [38]

Answer:

2, sqrt of 7633

Step-by-step explanation:

for now, we'll leave the 3rd side as x

y using the Pythagorean theorem, we can conclude that (1) 48^2+x^2=73^2 or (2) 48^2+73^2=x^2.

1. If we conclude the x isn't the longest, the x would be 3025 which is the sqrt of 55, now is invalid because the 2 smallest sides can't be more than the longest side when they add up 55+48>73 so that is invalid

2. Then, it leaves us with only 1 choice left! concluding that the 3rd side is the longest. Which the answer is sqrt of 7633

6 0
3 years ago
Write the point-slope form of the equation of the line through the given point woth the given slope
Andrej [43]

Answer:

3.) \displaystyle y - 4 = 4[x - 1]

2.) \displaystyle y + 5 = 2[x + 2]

1.) \displaystyle y + 3 = 1\frac{1}{5}[x + 5]

Step-by-step explanation:

In the Point-Slope Formula, \displaystyle y - y_1 = m[x - x_1],all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

* \displaystyle 1\frac{1}{5} = \frac{6}{5}

I am joyous to assist you anytime.

3 0
3 years ago
10. If x = -2, y=-6 and z= 4, find the value of 4xy<br>Z​
Grace [21]

Answer:

192

Step-by-step explanation:

Given

4xyz ← substitute given values into expression

= 4 × - 2 × - 6 × 4 = - 8 × - 24 = 192

5 0
3 years ago
The sum of two consecutive integers is 31. Find the numbers.
Radda [10]
<span>X+(X+1)=31
</span>x is the first number and the second number should be x+1, since they are consecutive
6 0
3 years ago
60 points answer asap
kow [346]

The point slope form of a line is written as y - y1 = m(x -x1)

Where m is the slope and x1 and y1 are the points on the line.

You are told the slope is 3 and the point is (2,-1/2)

x1 is 2 and y1 is -1/2

Replace those in the equation to get:

y- (-1/2) = 3(x-2)

Simplify to get the final answer:

y + 1/2 = 3(x-2)

4 0
3 years ago
Read 2 more answers
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