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3 years ago

A system of linear equations contains two equations with negative reciprocal

Mathematics

1 answer:

aleksandrvk [35]3 years ago

4 0

let's recall that perpendicular lines have negative reciprocal slopes, so say for a line with a slope of a/b

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{a}{b}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{b}{a}}\qquad \stackrel{negative~reciprocal}{-\cfrac{b}{a}}}$

a perpendicular one will be -b/a.

what does that mean? well, that the lines are perpendicular of course, they meet at a 90° angle, and two straight lines meeting at 90° can only meet once.

since a solution to a system of equations is where the graph meet, and these two meet perpendicularly once, then that means only one solution.

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Lorenzo recorded the favorite food of students in his class. According to the results of the survey, what percent of the student

nalin [4]

Answer:

30%

Step-by-step explanation:

Before starting to solve this question we have to understand the following. 1% is equal to one hundredth of something whole, and can be write as $\frac{1}{100}$ .

Now in order to solve this question we will first have to find a fraction that represent how much student out of the whole class choose hamburgers. We can easily find this fraction since the numerator of the fraction will be equal to the number of people that choose hamburgers and the denominator will be equal to the number of all students in the class. So we get......

$\frac{12}{8 + 12 + 14+6} = \frac{12}{40} = \frac{3}{10}$

Now in order to find out what percentage will this fraction equal to we will have make a fraction with the same value but with a denominator being 100. To do that we will have to understand the following......

$\frac{a}{b} = \frac{am}{bm}$ (m is any number except 0)

The main I idea of this rule is that if we multiply the numerator and the denominator by the same number (any number except 0) we will get a fraction with the same value but with a different denominator and numerator.

So in our case we we do the following.........

(multiply both numerator and the denominator by 10 and we get...)

$\frac{3}{10} = \frac{(3)(10)}{(10)(10)} = \frac{30}{100}$

Now if we go back to what I said at the start of my explanation we will understand that another way of writing down $\frac{30}{100}$ is 30%.

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3 years ago

PLS HELP ASAP PLSSSS!!!!!!!!!!!!!!!!!!!!!!!!!

Lunna [17]

Answer:

2800 in^3

Step-by-step explanation:

Calculate the volume as normal, but take 1/10 of the result. Since volume is length*width*height, we have 50*28*20 which is 28000. 1/10 of that is 2800. So the volume when scaled down by a factor of 1/10 is 2800 in^3

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3 years ago

A self-serve frozen yogurt shop has 8 candy toppings and 4 fruit toppings to choose from. How many ways are there to top a froze

Ilia_Sergeevich [38]

4096 ways : 8 candy toppings plus 4 fruit toppings is 12. Then 2^12 (2 different types of toppings and the 12 of total toppings) = 4096

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3 years ago

On Tuesday, Michael walked to a grocery store in the morning and decided to buy a banana for $9.12 Michael handed the salesperso

mixas84 [53]

Michael received $0.01 or a penny

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4 years ago

J(1)²,

Natali [406]

The table when completed looks like this:

x -2 -1 0 1 2

f(x) 4 2 1 2 4.

We plot these points on the graph: (-2, 4), (-1, 2), (0, 1), (1, 2), (2, 4).

<h3>What is a function?</h3>

A function exists as a relation between a dependent variable (f(x)) and an expression of an independent variable (x), utilized to define the value of a dependent variable from a provided value of an independent variable.

We have been given a function,

$$f(x)=\left \{ {{(1/2)^{x},x\leq 0 } \atop {2^x > 0}} \right.$

We have to estimate the value of f(x) when x = {-2, -1, 0, 1, 2}

If the values of x ≤ 0, take f(x) = (1/2)ˣ then

f(-2) = (1/2)⁻² = 2² = 4

f(-1) = (1/2)⁻¹ = 2¹ = 2

f(0) = (1/2)⁰ = 1

If the values of x > 0, take f(x) = 2ˣ then

f(1) = 2¹ = 2

f(2) = 2² = 4

The table exists as follows

x -2 -1 0 1 2

f(x) 4 2 1 2 4.

We plot these points on the graph: (-2, 4), (-1, 2), (0, 1), (1, 2), (2, 4).

To learn more about independent and dependent variable refer to:

brainly.com/question/11719274

#SPJ9

7 0

1 year ago

Read 2 more answers