Solve the inequalities for x, and match each solution to its number line graph.Two less than 3/2 of a number (x) is no more than
2 answers:
Answer:
(i)
(ii)
(iii)
(iv)
Step-by-step explanation:
(i) Two less than of a number (x) is no more than
,
⇒ Two less than of x is less than equal to
,
(ii) The sum of two times a number (x) and -2 is at least 8,
(iii) Seven subtracted from 4 times a number (x) is more than 13,
(iv) Four added to 3 times a number (x) is less than 19.
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Answer:- D shows the triangle pairs which can be mapped to each other using a single translation.
Explanation:-
Translation is a rigid transformation which creates a congruent image as that of the original figure such that the distance between the each point of the original figure and the image is fixed and same.
The translation mapping is given by (x,y)→(x+h,y+k) ,where h is the distance of the x coordinate of the each point of the original figure to the image and k is the distance of the y coordinate of the each point of the original figure to the image.
In figure D we can see that the distance between each point of ΔCED is equal to the distance between each point of ΔMPN. Thus it shows the triangle pairs which can be mapped to each other using a single translation.
Answer:
- 0.7
Step-by-step explanation:
We are given the general quadratic formula, as " . " This can be represented by two separate formula's, which will come in handy when determining the positive and negative roots of the equation ( and here we need the negative root ):
1 ) ,
2 )
We know that a = 1, b = - 5, and c = - 4 from the equation " " ( which can be rewritten in the form
). Therefore, simply plug in these values into the quadratic formula to receive two solutions:
- This is our positive solution
__________
- And this is our negative solution
You can see that - 0.7 is the negative real number solution to Joline's quadratic equation!