Answer:
I'm pretty sure that the answers would go, Wrong, increased, 9 1/2 points, 6 5/8 points, dropped, 12 3/4 points.
Step-by-step explanation:
The reason why it would be wrong is because the amount of points lost was less than the total amount of points gained.
In week one and two the company gained 9 1/2 points and 6 5/8 points. When you add them together, you get 16 1/8 points.
In week three the company lost 12 3/4 points. If you multiply the fraction to change the denominator to 8, the mixed fraction becomes 12 6/8.
16 1/8 - 12 6/8 = 3 3/8
As you can see, there are still points left over.
In the fourth week, they ended up losing all of their points and then some more, but from my understanding it's just asking about the third week.
Hope that this helps!
The quadratic equation in its generic form is:
ax2 + bx + c
To complete squares we must add the following term:
(b / 2) ^ 2
The equation is:
ax2 + bx + c + (b / 2) ^ 2
We have the following equation:
x ^ 2 - 5x + k = 7
By completing squares we have:
x ^ 2 - 5x + (-5/2) ^ 2 = 7 + (-5/2) ^ 2
Rewriting:
x ^ 2 - 5x + 6.25 = 7 + 6.25
Answer:
A constant term should be used to complete the square is:
6.25
Answer:
B
Step-by-step explanation:
<h3>Answer: angle T = 70</h3>
======================================
Work Shown:
Quadrilateral RSTU is a kite. In geometry, any kite has two pairs of adjacent congruent sides. In this case, RU = RS is one pair of adjacent congruent sides (single tickmarks), while TU = TS is the other pair of adjacent congruent sides (double tickmarks).
Draw diagonal line segment TR. This forms triangles TUR and TSR.
Through the SSS (side side side) congruence theorem, we can prove that the two triangles TUR and TSR are congruent.
Then by CPCTC (corresponding parts of congruent triangles are congruent), we can say,
angle U = angle S = 90
--------------
Re-focus back on quadrilateral RSTU (ignore or erase line segment TR). The four angles of any quadrilateral will always add to 360 degrees. Let x be the measure of angle T.
(angleU)+(angleR)+(angleS)+(angleT) = 360
90+110+90+x = 360
290+x = 360
290+x-290 = 360-290 ... subtract 290 from both sides
x = 70
<h3>angle T = 70</h3>
Each was 10 inches because she had 95 and 95-15=40 divided by 4 = 10
