Answer:
u = -3
Step-by-step explanation:
12 - 2u = 9u + 45
2u - 12 = -9u - 45
2u + 9u = 12 - 45
11u = -33
u = -33/11
u = -3
We have that
f(x) = –4x²<span> + 24x + 13
</span>
we know that
The vertex form for a parabola that opens up or down is:
f(x) = a(x - h)^2 + k
in the given equation, <span>a=-4</span><span>, therefore we add zero to the original equation in the form of </span><span>4h</span>²<span>−4h</span>²
f(x) = –4x² + 24x + 4h²−4h² +13
<span>Factor 4 out of the first 3 terms and group them
</span>f(x) = –4*(x² -6x +h²) +4h² +13
<span>We can find the value of h by setting the middle term equal to -2hx
</span>−2hx=−6x
<span>h=3</span><span> and </span><span>4h</span>²<span>=<span>36
</span></span>f(x) = –4*(x² -6x +9) +36 +13
we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49
the answer isf(x) = –4*(x-3)² +49
Answer:
263.08 m²
Step-by-step explanation:
The fraction of circle area that a sector represents is proportional to the central angle.
<h3>Proportion</h3>
circle area/circle angle = sector area/sector angle
circle area / 360° = 85.5 m² / 117°
Multiplying by 360°, we have ...
circle area = (360/117)(85.5 m²) = 263.08 m²
The area of the circle is about 263.08 m².
Answer:
360 - Y
Step-by-step explanation:
From the information provided in the question, we will understand that the question lacks detailed information.
Given that:
The total number of actual students on the A honor roll = 360
To find the number of students on the A honor roll of 8th graders;
Let denote Y to represent the total number of students who exist on the A honor roll except for the 8th graders.
Then:
The number of 8th graders = all number of students on are on the A honor roll - Y
The number of 8th graders = 360 - Y
If Y is known, then the number of the 8th graders can be fully determined.
Answer:
B=112
Step-by-step explanation:
Angle B is on the same line as angle A(68). They would need to combine for a total of 180 degrees. So 68-180=112
