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2 years ago

A) Write down the mathematical name of this shape.

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

4 0

Answer:

Quadrilateral as it is a four-sided ploygon, having 4 edges and corners

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One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p

scZoUnD [109]

Answer:

$c^2 = 9dp$

Step-by-step explanation:

Given

$dx^2 + cx + p = 0$

Let the roots be $\alpha$ and $\beta$

So:

$\alpha = 2\beta$

Required

Determine the relationship between d, c and p

$dx^2 + cx + p = 0$

Divide through by d

$\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0$

$x^2 + \frac{c}{d}x + \frac{p}{d} = 0$

A quadratic equation has the form:

$x^2 - (\alpha + \beta)x + \alpha \beta = 0$

So:

$x^2 - (2\beta+ \beta)x + \beta*\beta = 0$

$x^2 - (3\beta)x + \beta^2 = 0$

So, we have:

$\frac{c}{d} = -3\beta$ -- (1)

and

$\frac{p}{d} = \beta^2$ -- (2)

Make $\beta$ the subject in (1)

$\frac{c}{d} = -3\beta$

$\beta = -\frac{c}{3d}$

Substitute $\beta = -\frac{c}{3d}$ in (2)

$\frac{p}{d} = (-\frac{c}{3d})^2$

$\frac{p}{d} = \frac{c^2}{9d^2}$

Multiply both sides by d

$d * \frac{p}{d} = \frac{c^2}{9d^2}*d$

$p = \frac{c^2}{9d}$

Cross Multiply

$9dp = c^2$

$c^2 = 9dp$

Hence, the relationship between d, c and p is: $c^2 = 9dp$

8 0

3 years ago

Helpppppppppppppppppp

MArishka [77]

Answer:

multiply 343 by 2 and then divide that number by 3. the answer is 228.666666666

4 0

3 years ago

What is the factored form of this polynomial?

oksian1 [2.3K]

Answer:

$(x - 4)(x + 9)$

Answer C is correct.

Step-by-step explanation:

${x}^{2} + 5x - 36 \\ {x}^{2} + 9x - 4x - 36 \\ x(x + 9) - 4(x + 9) \\ = (x - 4)(x + 9)$

hope this helps

brainliest appreciated

good luck! have a nice day!

4 0

2 years ago

Read 2 more answers

there are 27 red or blue marbles in the bag the number of red marbles is 5 less than three times the number of blue marbles how

maria [59]

Answer=24 blue marbles and 3 red marbles

r=red marbles
b=blue marbles
b=3(r+5)

27=b+r
substitue b for '3(r+5)'
27=3(r+5)+r
27=3r+15+r
27=4r+15
subtract 15 from both sides
12=4r
divide both sides by 4
3=r

There are 3 red marbles

27=b+r
27=b+3
subtract 3 from both sides
24=b

There are 24 blue marbles

8 0

3 years ago

At a store, Susan selected a pumpkin that weighed 35.2 ounces. Pumpkins cost $1.80 per pound. There are 16 ounces in 1 pound. Ho

Nat2105 [25]

$3.96 i think i just did the math

5 0

3 years ago