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denpristay [2]
3 years ago
7

which represents the solution(s) of the system of equations, y=x^2-2x-15 and y=8x-40? determine the solution set algebraically

Mathematics
1 answer:
Harrizon [31]3 years ago
7 0
y=x^2-2x-15 (1) y=8x-40 (2)

8x-40=x^2-2x-15
X^2+10x-25=0
(x-5)^2
×=5 y=0
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I need to show work and Idk how for 2 or 3. The -5,-2 and 8,3 is the answers just need work shown thanks
prisoha [69]
#2
2x - 4y = -2
2x + 3y = -16
------------------subtract
-7y = 14
y = 14/-7
y = -2

2x - 4y = -2
2x - 4(-2) = -2
2x + 8 = -2
2x = -2 -8
2x = -10
x = -10/2
x = -5
answer x = -2 and y = -5

check:

2(-5)- 4(-2) = -2
-10 +8 = -2
-2 = -2.....true

2x + 3y = -16
2(-5)+3(-2) = -16
-10 + (-6) = -16
-16 = -16...true


3 0
3 years ago
Marina walks from the police station at (-10, -4) to her friend Marissa’s house at (3, -8). She stops half way at a fast food re
Volgvan
\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ -10}}\quad ,&{{ -4}})\quad 
%  (c,d)
&({{ 3}}\quad ,&{{ -8}})
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left( \cfrac{3-10}{2}~~,~~\cfrac{-8-4}{2} \right)
8 0
3 years ago
Find a third degree polynomial function with real coefficients and with zeros 4 and 3+i
Anvisha [2.4K]
X = 4 ; x = 3 + i ; x = 3 - i

(If you get a zero that is adding or subtracting, you always need to write it twice but change the sign do they cancel out)

f(x) = (x-4)(x-3-i)(x-3+i)

Distributing the last two parenthesis first is always the best way to start off

(x-3-i)(x-3+i) has (x-3) in common so it can be separated to

(x-3)^2 + (-i)(+i)

(x^2 - 6x + 9) ; (-i)(+i) is always +1
(x^2 - 6x + 9) + 1
(x^2 - 6x + 10)

Now multiply this with (x-4)
x^3 - 6x^2 + 10x
- 4x^2 + 24x - 40

x^3 - 10x^2 + 34x - 40 = f(x)

3 0
3 years ago
If m<13=m<15=m<7, what conclusions can you make about lines a, b, c, and d?
Strike441 [17]

Answer:

option D

Lines a and b are parallel and lines c and d are parallel.

Step-by-step explanation:

Given in the question four lines a , b, c, d.

<h3>Prove one</h3>

If two parallel lines (a,b) are cut by a transversal(d), then corresponding angles m<7 and m<15 are congruent.

They are know as corresponding angles.

Hence lines a and b are parallel.

<h3>Prove two</h3>

If two parallel lines (c,d) are cut by a transversal(d), then corresponding angles m<13 and m<15 are congruent.

They are know as corresponding angles

Hence lines c and d are parallel

5 0
3 years ago
Tell how the Communicative property of addition and the Associative property of addition can help solve the problem mentally 8+(
Masteriza [31]

Answer:

You can swich the numbers around to make the equation easier.

\

Step-by-step explanation:

6 0
3 years ago
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