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3 years ago

Who is correct? PLease answer ASAP!! pls (:

Mathematics

1 answer:

katrin2010 [14]3 years ago

5 0

Answer: Isaiah is correct because you can never be sure whether it’s gonna be a queen but you can be sure that the card could be red

Step-by-step explanation:

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What is the equation of the line that passes through the point (5,4) and is perpendicular to the line whose equation is 2x + y =

Zepler [3.9K]

The equation of the line that passes through the point (5,4) and is perpendicular to the line whose equation is 2x + y = 3 in standard form is x - 2y = - 3

Solution:

Given, line equation is 2x + y = 3

2x + y – 3 = 0 ----- eqn (1)

We have to find a line that is perpendicular to 2x + y – 3 = 0 and passing through (5, 4).

Now, let us find the slope of the given line,

$\text { Slope of a line }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-2}{1}=-2$

$\text { Slope of a line } \times \text { slope of perpendicular line }=-1$

$\begin{array}{l}{-2 \times \text { slope of perpendicular line }=-1} \\\\ {\text { Slope of perpendicular line }=-1 \times \frac{1}{-2}=\frac{1}{2}}\end{array}$

Now, slope of our required line = 1/2 and it passes through (5, 4)

The point slope form is given as:

$y-y_{1}=m\left(x-x_{1}\right)$

$\text { where } m \text { is slope and }\left(x_{1}, y_{1}\right) \text { is point on the line. }$

$\text { Here in our problem, } \mathrm{m}=\frac{1}{2}, \text { and }\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right)=(5,4)$

$y-4=\frac{1}{2}(x-5)$

Now let us convert to standard form:

The standard form of a line is just another way of writing the equation of a line.

The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers.

2(y – 4) = 1(x - 5)

2y – 8 = x – 5

x – 2y - 5 + 8 = 0

x - 2y + 3 = 0

x - 2y = - 3

Hence, the line equation in standard form is x - 2y = - 3

4 0

3 years ago

segment ab has point a located at (4,2). if the distance from a to b is 3 units, which of the following could be used to calcula

STALIN [3.7K]

Answer:

photo plz

Step-by-step explanation:

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3 years ago

What is 0.46 cm converted into millimeters

Arte-miy333 [17]

1cm = 10mm
then 0.46cm = 0.46*10 = 4.6mm

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3 years ago

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I just need help with this math question

Volgvan

Ok so BFD is a 90 degree angle. So you know you have 43 in one of the spaces so that means all you have to do is take 90 and minus 43 which is 47.

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4 years ago

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The cafeteria at Midtown Middle school surveyed 575 students about their favorite food. Determine the number of students that Re

Helen [10]

You would put this into a fraction
so for the salad
$\frac{20}{100} = \frac{?}{575}$
and for the fruit
$\frac{24}{100} = \frac{?}{575}$
cross multiply and
1. salad: 20% = 115 students
2. Fruit: 24% = 138 students

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3 years ago