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3 years ago

Can you draw a triangle with vertices (1,5) (5,8 ) (13,14) give reason

Mathematics

1 answer:

Firdavs [7]3 years ago

8 0

Answer:

Step-by-step explanation:

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The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)

Savatey [412]

Answer:

$a\cdot b\cdot c=\frac{15}{4}$

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

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

Substitute the values

$y-(-2)=a(x-(-3))^2=a(x+3)^2$

$y+2=a(x+3)^2$

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

$0+2=a(-1+3)^2=4a$

$a=2/4=1/2$

Now, using the value of a

$y+2=1/2(x+3)^2=1/2(x^2+6x+9)$

$y+2=\frac{1}{2}x^2+3x+\frac{9}{2}$

$y=\frac{1}{2}x^2+3x+\frac{9}{2}-2$

$y=\frac{1}{2}x^2+3x+\frac{9-4}{2}$

$y=\frac{1}{2}x^2+3x+\frac{5}{2}$

By comparing with

$y=ax^2+bx+c$

We get

$a=\frac{1}{2}, b=3, c=5/2$

$a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}$

$a\cdot b\cdot c=\frac{15}{4}$

7 0

3 years ago

GIVING BRAINLIEST!!!!

mr Goodwill [35]

Answer:

Two

Step-by-step explanation:

there is TWO sulotions!!!

4 0

3 years ago

Please help me!! this is a quiz and i have 10 minutes!!

Nookie1986 [14]

Answer:

When y = 1/2, the answer would be 0. When y = -4, the answer would be 9. When y = 0, the answer would be 1.

Step-by-step explanation:

3 0

3 years ago

125 pounds decreased by 4% what is the new amount

Anvisha [2.4K]

You want 125 pounds minus 4% of it, so you want 96% just multiply it

125 . 96% = 125 . 96/100 = 120

3 0

3 years ago

Read 2 more answers

Working together, it takes two computers 20 minutes to send out a company's email. If it takes the slower computer 45 minutes to

11Alexandr11 [23.1K]

Answer:

36 minutes

Step-by-step explanation:

Let the productivity of slower computer is x bits/min

That means Slower computer in 45 minutes sends x*45 bits= company's email

Let the productivity of faster computer is y bits/min

That means that working together slower and faster computers send

x*20+y*20= company's email or

x*20+y*20=x*45

x*25=y*20

y/x=25/20= 1,25

That means that faster computer sends the mails 1.25 times faster than slower computer

So faster computer will need in 1.25 times lees time than slower computer to do this job

45:1.25 =36 min

6 0

3 years ago

Can you draw a triangle with vertices (1,5) (5,8 ) (13,14) give reason​

Can you draw a triangle with vertices (1,5) (5,8 ) (13,14) give reason