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lana [24]
3 years ago
9

What is the vertex of the graph y = x^2 + 6x - 5 ?

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0
Given:  <span>y = x^2 + 6x - 5.  Then a = 1, b = 6 and c = -5.

The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.

Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:

y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14

Then the vertex is (-3, -14).</span>
You might be interested in
What is the distributive property of the GCF of 36 and 45
Finger [1]
Factors for 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

<span>Factors for 45: 1, 3, 5, </span>9<span>, 15, 45

Great Common Factor is 9</span>
7 0
2 years ago
Read 2 more answers
barry has 18 more marbles than heidi.if barry has 92 marbles,write and solve an equation to determine the number of marbles heid
Basile [38]
N= Heidi's marbles
92 - n =18   (Barry's 92 marbles - whatever Heidi has = 18 marbles difference)

92 -n +n = 18 +n   (I added n to each side)
92 = 18+n    
 92 -18 = 18-18 + n   (I subtracted 18 from both sides)
74 = n    Heidi has 74 marbles


4 0
3 years ago
Translate the phrase into algebraic symbols.<br><br> the sum of a number y and sixteen.
jarptica [38.1K]
The answer to this is y+16
3 0
2 years ago
Divide x5+15x4+54x3−25x2−75x−34 by x+8.
Wittaler [7]

we are given

x^5+15x^4+54x^3-25x^2-75x-34

divide by x+8

we can use long division

so, we will get

Quotient=x^4+7x^3-2x^2 -9x-3

Remainder=-10

we can also write it as

\frac{x^5+15x^4+54x^3-25x^2-75x-34 }{x+8}=(x^4+7x^3-2x^2 -9x-3)-\frac{10}{x+8}..............Answer

3 0
3 years ago
Can someone please help me with math.
makvit [3.9K]

Answer:

5. B) 55

6. D) 15

Step-by-step explanation:

5.

One of the properties of a triangle is that the sum of angles in a triangle will always equal (180) degrees. One can apply this here, form an equation and solve for (x). Remember, a box around an angle indicates that the measure of the angle is (90) degrees.

90 + x + 35 = 180

Simplify,

125 + x = 180

Inverse operations,

x = 55

6.

This triangle is a right triangle, as mention earlier, a box around an angle indicates that the angle measure is (90) degrees. One of the criteria of a triangle to be considered a right triangle is that it must contain a (90) degree angle. One of the properties of a right triangle is that it follows the Pythagorean theorem, the Pythagorean theorem states the following,

a^2+b^2=c^2

Where (a) and (b) are the legs or sides adjacent to the right triangle, and (c) is the hypotenuse or side opposite the right angle.

(9)^2 +(12)^2 = (c)^2

Simplify,

81+144=c^2\\\\225=c^2

Inverse operations,

c = 15

8 0
2 years ago
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