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Tema [17]
3 years ago
5

What is an equation of the line that passes through the points (-1, 6) (−1,6) and (-1, -5) (−1,−5)

Mathematics
1 answer:
slavikrds [6]3 years ago
8 0

Answer:

x = -1

Step-by-step explanation:

You can write the equation of the line by finding the slope between the points and substitute it with a point into the point slope form.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{6--5}{-1--1} =\frac{11}{0} = und

These points have a slope which is undefined. This means it is a vertical line that crosses through the x-axis at the x-coordinate of both points -1. The equation is x = -1.

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If a= 11, solve for b and c.
oksian1 [2.3K]

Step-by-step explanation:

b = 11

c = 11✓2 because the properties of 45 45 90 triangle

8 0
3 years ago
What are the approximate values of the non-integral roots of the polynomial equation?
irga5000 [103]

Answer:

-4, -2, -3-2i, -3+2i

Step-by-step explanation:

The of the polynomial equation are those values of x, for which f(x)=0.

Consider equation

f(x)=0\\ \\(x^2+6x+8)(x^2+6x+13)=0

By zero product property,

x^2+6x+8=0\ \text{or}\ x^2+6x+13=0

Solve each equation:

1. x^2+6x+8=0

D=6^2-4\cdot 8=36-32=4\\ \\x_{1,2}=\dfrac{-6\pm \sqrt{4}}{2}=\dfrac{-6\pm 2}{2}=-4,\ -2

2. x^2+6x+13=0

D=6^2-4\cdot 13=36-52=-16=16i^2\\ \\x_{1,2}=\dfrac{-6\pm \sqrt{16i^2}}{2}=\dfrac{-6\pm 4i}{2}=-3-2i,\ -3+2i

5 0
3 years ago
Read 2 more answers
Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below: Pentagon ABCDE and pentagon A prime B prime C pr
Dima020 [189]

The <em><u>correct answer</u></em> is:

Translated according to the rule (x, y) →(x + 2, y + 8) and reflected across the y-axis

Explanation:

A translation using the rule (x, y) →(x + 2, y + 8) adds 2 to the x-coordinate and 8 to the y-coordinate.  This takes our points and maps them the following way:

A(-5, -2)→(-3, 6)

B(-7, -3)→(-5, 5)

C(-6, -6)→(-4, 2)

D(-3, -5)→(-1, 3)

E(-3, -3)→(-1, 5)

The difference between each of these points and the image points is that the x-coordinates are negated.  To do this, we would reflect the points through the y-axis.

3 0
3 years ago
Read 2 more answers
A form of radium decays exponentially with a half-life of 20 years. This means that 50% will be gone every 20 years. A human can
IrinaVladis [17]
<h2>✔Answer</h2>

<h2>✏Part A :-</h2><h2>Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)x wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.</h2>

<h2>✏Part B :- </h2><h2 /><h2>The Earth could look like within 100 years if we succeed in curbing climate change.</h2>

<h2>Hope it helps.❤</h2><h2 />
6 0
3 years ago
Please help me! Thanks in advance...
adell [148]
Density of water won't change.

and u should not keep it on the table as it cant support its weight which is

w= density*volume = 62*(3*3*3) =1674 lb which is way greater than 200 lb
3 0
3 years ago
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