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3 years ago

Write the formula for

Mathematics

1 answer:

Afina-wow [57]3 years ago

7 0

Answer:

Equation of the parabola x² = -12.56 y

Step-by-step explanation:

Explanation:-

Given Y- intercept ( 0, -3.14)

Given Focus is ( 0 , -a) = ( 0, -3.14)

So a = 3.14 center C(0,0)

The graph of the parabola is downwards and the axis of the parabola is Y-axis.

Equation of the standard parabola x² = -4 a y

x² = -4 (3.14) y

x² = - 12.56 y

Conclusion:-

Equation of the parabola x² = -12.56 y

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Many states refused to ratify the constitution unless?

nasty-shy [4]

Other Federalists claimed that the new government could not violate the people's rights because it only had limited powers. However, most state legislatures refused to ratify the Constitution without the Bill of Rights being added to the document.

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2 years ago

Please help me with algebra part B and C. attachment below. Will mark as brainslist. 25 points.

miv72 [106K]

Answer:

C. $(-7x+60)(x+4)$

Step-by-step explanation:

Consider the expression $-7x^2+32x+240.$

First, note that

$a=-7\\ \\b=32\\ \\c=240$

Find the discriminant

$D=b^2-4ac=32^2-4\cdot (-7)\cdot 240=1,024+6,720=7,744\\ \\\sqrt{D}=\sqrt{7,744}=88$

Now,

$x_1=\dfrac{-b+\sqrt{D}}{2a}=\dfrac{-32+88}{2\cdot (-7)}=-4\\ \\x_2=\dfrac{-b-\sqrt{D}}{2a}=\dfrac{-32-88}{2\cdot (-7)}=\dfrac{60}{7}$

Write the factored form:

$-7x^2+32x+240=-7(x-(-4))\left(x-\dfrac{60}{7}\right)=(x+4)(-7x+60)$

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3 years ago

Help me answer this question about congruent triangles. 50 points available.

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

No these triangles are not congruent.

Left triangle

Shortest side = 6 cm

Longest side = 13 cm

3rd side = unknown but < 13

Right triangle

Shortest side = 6 cm

Longest side = unknown but > 13

3rd side = 13 cm

Although the shortest side of both triangles is 6 cm, the longest side of the left triangle is 13 cm, whereas the longest side of the right triangle is unknown but will be more than 13 cm.

We do not know if any of the angles are congruent. If they were congruent, we would expect to see this marked by the same angle line(s) on each triangle.

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2 years ago

Shoe sizes and foot length are related by the formula S = 3F - 24, where S represents the shoe size and F represents the length

eimsori [14]

Answer:

$\dfrac{S + 24}{3}$

Step-by-step explanation:

$\begin{array}{rcll}S & = & 3F - 24&\\S + 24 & = & 3F&\text{Added 24 to each side}\\F & = &\mathbf{\dfrac{S + 24}{3}}&\text{Divided each side by 3}\\\\\end{array}$

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3 years ago

(-4, 8) and (6, 2). Slope

Setler79 [48]

Answer:

In order to go from the first point to the second, we need to rise from 4 to 7, i.e. by 3. We also need to run from -4 to -2, i.e. by 2. Therefore the slope is 32 .

Step-by-step explanation:

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2 years ago