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3 years ago

I’m A Triangle, The Sum Of Any Two Side Lenghts, Finish The Sentence

Mathematics

1 answer:

Alchen [17]3 years ago

4 0

Equals the third side length

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The vertex of this parabola is at (-5, -2). When the x-value is -4, the y-value is 2. What is the coefficient of the squared exp

Montano1993 [528]

Answer:

The coefficient of the squared expression in the parabola equation is $a=4$

Step-by-step explanation:

The equation of a parabola in its vertex form is:

$y = a(x-h) ^ 2 + k$

Where the vertex of the parabola is the point (h, k)

a is the ceoficiente of the term to the square.

We need to find the equation of a parabola that has its vertex in the point:

(-5, -2)

So:

$h = -5\\\\k = -2$

Therefore the equation is:

$y = a(x - (-5)) ^ 2 -2\\\\y = a(x + 5) ^ 2 -2$

We know that the point (-4, 2) belongs to this parable. Then we can find the value of a by replacing the point in the equation of the parabola

$(2) = a((-4) + 5) ^ 2 -2\\\\2 = a(1) ^ 2 -2\\\\2 = a -2\\\\a = 4$

Finally the coefficient is a = 4

7 0

3 years ago

If 6!+7!+8!=(n)(6!), then the value of n is A) 15 B)16 C)63 D)64 E)15!

gladu [14]

6!+7!+8!=(n)(6!)
calculate the individual values first:
6!=720
7!=5040
8!=40320

plug them into the equation:
720+5040+40320=n720
solve for n
5760+40320=n720
46080=n720
divide both sides by 720 to isolate n
46080/720=n720/720
64=n

6 0

2 years ago

Consider the figure. Determine the value of y.

slava [35]

Answer:

47+ y = 180 (linear pair)

y = 133

6 0

2 years ago

Algebraically solve the system of equations shown below. Note that you can use either factoring or the quadratic formula to find

ivann1987 [24]

$6x^2+19x-15=-12x+15\\
6x^2+31x-30=0\\
6x^2+36x-5x-30=0\\
6x(x+6)-5(x+6)=0\\
(6x-5)(x+6)=0\\
x=\frac{5}{6} \vee x=-6\\\\
y=-12\cdot\frac{5}{6} +15\vee y=-12\cdot(-6)+15\\
y=-10 +15\vee y=72+15\\
y=5 \vee y=87\\\\
x=\frac{5}{6} \wedge y=5\\
x=-6 \wedge y=87$

7 0

3 years ago

Read 2 more answers

Approximately how many square inches of space are blank?

ddd [48]

Answer:

blank area = 1.5π units²

Step-by-step explanation:

area of full circle = πr² = π6² = 36π units²

blank area = (15/360)(36π) = 1.5π units²

3 0

2 years ago