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3 years ago

Graph the equation

1 answer:

8 0

To find the root, replace y with 0
X^2-12x+35=0
A=1 B=-12 C=35
B^2-4ac=(-12)^2 -4(1)(35)
=144 -140
=4

x=(-b+/- square root of b^2 -4ac) /over/ (2a)
Plug in the numbers
x=-(-12) sqr (-12)^2 4(1)(35) / (2)(1)
X=12 +/-sqr 4 / 2
Positive outcome
x=12 + sqr 4 / 2
x=12+2/2
x=7 <— this one
Negative outcome
x=12-2i/2
x=6-i
Vertex: (6,-1)

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Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo

nlexa [21]

Given:

Equation of line $7x-4y=-12$ .

To find:

The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

$7x-4y+12=0$

Slope of line is

$\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}$

$m_1=-\dfrac{7}{(-4)}$

$m_1=\dfrac{7}{4}$

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

$m_1m_2=-1$

$m_2=-\dfrac{1}{m_1}$

$m_2=-\dfrac{4}{7}$ $[\because m_1=\dfrac{7}{4}]$

Now, the slope of perpendicular line is $m_2=\dfrac{4}{7}$ and it goes through (-21,2). So, the equation of line is

$y-y_1=m_2(x-x_1)$

$y-2=-\dfrac{4}{7}(x-(-21))$

$y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)$

$y-2=-\dfrac{4}{7}x-12$

$y=-\dfrac{4}{7}x-12+2$

$y=-\dfrac{4}{7}x-10$

Therefore, the required equation in slope intercept form is $y=-\dfrac{4}{7}x-10$ .

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3 years ago

What is the image of the point (-6,2) after a 90 degree counterclockwise rotation

Gala2k [10]

The answer is (-2, -6)
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3 years ago

½(4k + 3r) ÷ 3^1 k = 9 r = 6 show work

vampirchik [111]

Answer:

The solution is given below:

Step-by-step explanation:

$\\ \frac{1}{2} (4k + 3r) \div {3}^{1}$

As we know the value of k and r so the equation will be

$\\ \frac{1}{2} (4 \times 9 + 3 \times 6) \div {3}^{1}$

$\\ = \frac{1}{2} (36 + 18) \div 3$

$\\ = \frac{1}{2} \times 54 \div 3$

$\\ = \frac{1}{2} \times 18$

$\\ = 9$

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3 years ago

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You're having dinner at a restaurant that serves 555 kinds of pasta (spaghetti, bow ties, fettuccine, ravioli, and macaroni) in

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Answer:

Is B i just did it on khan

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4 years ago

Read 2 more answers

{-210, -156, -366,-471, -108,-627, -579}

Andru [333]

Option D I and IV only is correct option

Step-by-step explanation:

We need to identify that the numbers {-210, -156, -366,-471, -108,-627, -579} belong to which of the following set of numbers.

I. Rational Numbers

II. Natural Numbers

III. Whole Numbers

IV. Integers

We will consider each option

Rational numbers: numbers that can be written by dividing two integers. They can be positive or negative.

all the numbers given can be divided by 1 to make them fractions. So all numbers are rational numbers.

Natural numbers: numbers that are positive integers excluding 0 i.e 1,2,3...

So, the given numbers are not natural numbers

Whole numbers: all natural numbers including 0. These are positive numbers. So, the given numbers are not whole numbers

Integers: it is a whole number (not fraction) that can be positive,negative or zero. So, the numbers given are integers.

So, Option D I and IV only is correct option

Keywords: Set of numbers

Learn more about set of numbers at:

#learnwithBrainly

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