Answer:
PQ=36
Step-by-step explanation:
o=114
PQ I named a because it was easier for me and SP I named b.
o=2(a+b)
114=2(3x+3+2x-1)
114=6x+6+4x-2
114=10x+4
10x=114-4
10x=110/:10
x=11
a=3*11+3
a=33+3
a=36
For the given points to lie on the parabola,
a = -3 and k = 10.
An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).
According to the question,
Equation of parabola : y = a
+ k
Points A(1,7) and B(4,-2)
For the points to lie on the parabola,
7 = a
+k
7 = a + k
Similarly,
-2 = a
+ k
-2 = 4a + k
On solving the two equations simultaneously, we get,
a = -3
k = 10
Learn more about parabolas here:
brainly.com/question/4061870
#SPJ1
Answer: n = -6
Step-by-step explanation:
2(n+5) = -2
2n + 10 = -2
Now, subtract 10 from both sides.
2n + 10 - 10 = -2 - 10
2n = -12
Now, divide by 2 on both sides.
2n/2 = -12/2
n = -6
Answer:
-91x² + 5x³ - 56x -15 = 0
Step-by-step explanation:
x² + 3x³ - 2x + 9 = 24 + 54x + 92x² - 2x³
x² + 3x³ - 2x + 9 - 92x² = 24 + 54x + 92x² - 2x³ - 92x²
-91x² + 3x³ - 2x + 9 + 2x³ = 24 + 54x -2x³ + 2x³
-91x² + 5x³ - 2x + 9 - 54x = 24 + 54x - 54x
-91x² + 5x³ - 56x + 9 - 24 = 24 - 24
-91x² + 5x³ - 56x -15 = 0
Hope this helps!
Maybe brainliest?
<u>✨</u><u>Answer:✨</u>
Lynn can make 4 1/2 (4.5) bags
<u>✨Step-by-step explanation:✨</u>
3 3/4 cups of strawberries ÷ 3/4 into each bag = ?
<u><em>Convert any mixed numbers to fractions. Then your initial equation becomes:</em></u>
15/4 + 3/4
<em><u>Applying the fractions formula for addition,</u></em>
<u>(15 x 4) + (3 x 4)</u>
4 x 4
= <u>60 + 12</u>
16
= 72/16
<u><em>Simplifying 72/16, the answer is:</em></u>
4 1/2 bags (as a decimal is 4.5)