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Alinara [238K]
3 years ago
14

Is this factorable please help me.

Mathematics
1 answer:
olga2289 [7]3 years ago
7 0
This can be factored into (2t - 9)(t + 7)
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A (5,3) and B(3,-2) are two fixed points. Find the equation of the locus of P, so that the
andre [41]

Answer:

37=5x-2y,\,1=5x-2y

Step-by-step explanation:

If (x_1,y_1),\,(x_2,y_2),\,(x_3,y_3) are coordinates of a triangle then area of a triangle is equal to \frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|

Let point P be (x,y)

Put (x_1,y_1)=(5,3),\,(x_2,y_2)=(3,-2),\,(x_3,y_3)=(x,y)

Area of a triangle = \frac{1}{2}|5(-2-y)+3(y-3)+x(3+2)|

=\frac{1}{2}|-10-5y+3y-9+5x|\\\\=\frac{1}{2}|-19+5x-2y|

Also,

Area of a triangle = 9 square units

9=\frac{1}{2}|-19+5x-2y|\\\\18=|-19+5x-2y|

±18 = -19 + 5x - 2y

18=-19+5x-2y,\,-18=-19+5x-2y\\\\37=5x-2y,\,1=5x-2y

3 0
3 years ago
Find the slope and y-intercept.
anastassius [24]

The slope is 7/4 and the intercept is -10

5 0
4 years ago
Please help. Jacob sells homemade skateboard decks for a profit of $27 per deck. He is considering switching to a new type of ma
nordsb [41]

Answer:

$5

Step-by-step explanation:

32-27 = 5

because he was earning 27 per skate board, that function shows him earning 32 per skate board which is an increase of $5.

6 0
3 years ago
Can you please help me solve these systems?
sveta [45]
<span>1)
11x+5y=20
2x+5y=-25

multiply the second equation by - 1 and add the result with the first equation:

11x + 5y = 20
- 2x - 5y = 25
-------------------
9x = 45

=> x = 45 / 9

=> x = 5

Replace in </span><span>2x+5y=-25

=> 2(5) + 5y = - 25

5y = - 25 - 10

5y = - 35

y = - 35 / 5

y = - 7


2)

3x+7y=-21

3x-7y=63</span>

Add the two equations:

3x + 3x + 0 = - 21 + 63

6x = 42

=> x = 42 / 6

=> x = 7

Replace in <span>3x-7y=63

3(7) - 7y = 63

=> 7y = 21 - 63

=-> 7y = - 42

=> y = - 42 / 6

=> y = - 7</span>
5 0
4 years ago
EASY QUESTION! <br><br>What is the value of t?<br><br>-5 = 2t - 11
myrzilka [38]

-5 = 2t - 11\\\\2t=6\\\\t=3

4 0
4 years ago
Read 2 more answers
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