<img src="https://tex.z-dn.net/?f=%5Csqrt%7B89" id="TexFormula1" title="\sqrt{89" alt="\sqrt{89" align="absmiddle" class="latex-

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olga nikolaevna [1]

3 years ago

formula"> =____

Mathematics

2 answers:

Debora [2.8K]3 years ago

7 0

9.434 is the answer

sammy [17]3 years ago

4 0

rad 89 = 9.43398

bcuz: 9.43398^2 = 88.9 which rounds to 89

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Write the following quadratic in standard form. Then identify a, b, and c.<br> y² - 7y + 6 = -6

Charra [1.4K]

Answer:

Therefore,

$y^{2}-7y+12=0$ ....Standard form.

$a=1\\b=-7\\c=12$ ......Numerical Coefficients.

Step-by-step explanation:

Given:

$y^{2}-7y+6=-6$

To Find:

a ,b , c

Solution:

Quadratic:

A quadratic equation is an equation of the second degree.

Meaning it contains at least one term that is squared.

The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

Here it is given as

$y^{2}-7y+6=-6$

Adding 6 on both the side we get

$y^{2}-7y+6+6=-6+6$

$y^{2}-7y+12=0$

Which is Quadratic Equation in STANDARD form Where,

$a=1\\b=-7\\c=12$

Therefore,

$y^{2}-7y+12=0$ ....Standard form.

$a=1\\b=-7\\c=12$ ......Numerical Coefficients.

7 0

3 years ago

To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equati

murzikaleks [220]

Answer:

$x-4y+4=0$

$f(x)=\sqrt x$ and x=4

Step-by-step explanation:

We are given that a curve

$y=\sqrt x$

We have to find the equation of tangent at point (4,2) on the given curve.

Let y=f(x)

Differentiate w.r.t x

$f'(x)=\frac{dy}{dx}=\frac{1}{2\sqrt x}$

By using the formula $\frac{d(\sqrt x)}{dx}=\frac{1}{2\sqrt x}$

Substitute x=4

Slope of tangent

$m=f'(x)=\frac{1}{2\sqrt 4}=\frac{1}{2\times 2}=\frac{1}{4}$

In given question

$m=\lim_{x\rightarrow a}\frac{f(x)-f(a)}{x-a}$

$\frac{1}{4}=\lim_{x\rightarrow 4}\frac{f(x)-f(4)}{x-4}$

By comparing we get a=4

Point-slope form

$y-y_1=m(x-x_1)$

Using the formula

The equation of tangent at point (4,2)

$y-2=\frac{1}{4}(x-4)$

$4y-8=x-4$

$x-4y-4+8=0$

$x-4y+4=0$

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3 years ago

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tamaranim1 [39]

Prime number
It can only divide by the number itself and 1.

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zheka24 [161]

Answer:

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it is a rule in the dilation course:

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