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iVinArrow [24]
3 years ago
10

Identify the vertex for the graph of y = −2x2 − 12x 1.

Mathematics
1 answer:
RUDIKE [14]3 years ago
8 0

Answer: (-3,19)

Step-by-step explanation:

Here the given function is,

y = -2x^2-12x+1

\implies y = -2(x^2+6x)+1

\implies y = -2(x^2+6x)+1+18-18

\implies y = -2(x^2+6x+9)+19

\implies y = -2(x+3)^2+19

\implies y = -2(x-(-3))^2+19

Since, the standard equation of a quadratic function is y = a(x - h)^2 + k

Where (h,k) is the vertex of the function.

On comparing the equation of given function with this standard form,

We get, the vertex of the given function is (-3,19)

⇒ First option is correct.

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Pls help (see picture)
PSYCHO15rus [73]

Answer:

6.8

Step-by-step explanation:

Similar means the same shape but smaller. So we have to find the connection between 17 and 5. Which can be achieved by this equation

17/5=3.4

Now we apply the number 3.4 to find the length of PQ using the same side on the similar shape

2*3.4=6.8

Hope this helps and I’m sorry to ask but I would love a Brainliest

8 0
3 years ago
Read 2 more answers
2x+5y=20. , -2x+20y=-90. one solution. infinity many ir no solution. use elimination to find your answer​
scoundrel [369]
2x+5y=20
X=10-2.5y

-2(10-2.5y)+20y=-90
-20+5y+20y=-90
25y=-70
Y=2.8

2(2.8)+5y=20

5.6+5y=20
5y=14.4
Y=2.88

CHECK:
2(2.8)+5(2.88)=20

5 0
4 years ago
Show that in any group of 101 people there are at least two persons having the same number friends (It is assumed that if a pers
vladimir1956 [14]

Answer:

Step-by-step explanation:

Let us assume that if possible in the group of 101, each had a different number of friends.  Then the no of friends 101 persons have 0,1,2,....100 only since number of friends are integers and non negative.

Say P has 100 friends then P has all other persons as friends.  In this case, there cannot be any one who has 0 friend.  So a contradiction.  Hence proved

Part ii: EVen if instead of 101, say n people are there same proof follows as

if different number of friends then they would be 0,1,2...n-1

If one person has n-1 friends then there cannot be any one who does not have any friend.

Thus same proof follows.

7 0
4 years ago
PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!
inn [45]

Answer:

m < 1 = 18°

Step-by-step explanation:

If <ABD = 72°, and m < 2 is three times the measure of m < 1, then:

Let < ABC = m < 1 =  x

     < CBD = m < 2 = 3x

We can set up the following formula, since the sum of the measures of angles < 1 and < 2 is equal to <ABD (72°):

m < 1 + m < 2 = < ABD

x + 3x = 72°

Add like terms:

4x = 72°

Divide both sides by 4 to solve for x:

\frac{4x}{4} = \frac{72}{4}

x = 18

Since x = 18, and m < 1 = x , then m < 1 = 18°.

And since m < 2 = 3x, then m < 2 = 3(18°) = 54°.

Let's check to see whether we derived the correct answers by plugging in the values of m < 1 and m < 2 into the established formula:

m < 1 + m < 2 = < ABD

18° + 54° = 72°

72° = 72° (True statement).

Please mark my answers as the Brainliest if my explanations were helpful :)

7 0
3 years ago
Given that x = 1, y = -2, z = 3, find the value of:
yarga [219]
You have to plug in the given numbers and perform each operation. Let me know if you have questions. The answers are circled.

6 0
4 years ago
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