Answer:
D
Step-by-step explanation:
If we isolate the variable in each given compound inequality, we can quickly realize that D is correct.
x is less than or equal to four (solid point on 4 with line going left), but greater than -1 (open point going right).
Signs with 'or equal to' have solid points, and signs without are not solid.
I hope this helps!
Answer:
The vertex of the right angle in each triangle are on points (-1, 1) and (4, -2), as can be seen in the figure
Step-by-step explanation:
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The values of the letters in coordinates (a, b) and (c,d) are;
<u><em>a = -4</em></u>
<u><em>b = -6</em></u>
<u><em>c = 2</em></u>
<u><em>d = 6</em></u>
<u><em /></u>
We are given two equations;
-6x + 3y = 6 ---(eq 1)
x² + y = 10 ---(eq 2)
- We are told that they intersect at coordinates; (a, b) and (c, d).
Let us make y the subject in eq 2 to get;
y = 10 - x² --(eq 3)
- Let us put 10 - x² into eq 1 to get;
-6x + 3(10 - x²) = 6
expanding further gives;
-6x + 30 - 3x² = 6
rearranging gives;
3x² + 6x - 24 = 0
Using online quadratic equation <em>solver</em>, we have;
x = -4 and x = 2
Putting x = -4 into eq 3 gives;
y = 10 - (-4)²
y = 10 - 16
y = -6
Putting x = 2 into eq 3 gives;
y = 10 - (2)²
y = 10 - 4
y = 6
- Thus, the coordinates are; (-4, -6) and (2, 6)
Comparing with (a, b) and (c,d), we have;
a = -4
b = -6
c = 2
d = 6
Read more at; brainly.com/question/15165519
1)
7/6d+4/3=-1/3
7/6d=-5/3
d=-5/3×6/7
d=-10/7
2)
5 1/2-u=9/4
11/2-u=9/4
22/4-u=9/4
13/4=u
3 1/4=u
3)
-m-7/8=-10
-m-7/8=-80/8
-m=-73/8
m=73/8 or 9 1/8
4)
2/7=4/5+9q
10/35=28/35+9q
-18/35=9q
q=-18/35×1/9
q=-2/35. Hope it help!