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Semenov [28]
3 years ago
15

Given that a = -1, b=2 and c= -3 ,find the value of a(b2+c2)

Mathematics
1 answer:
KiRa [710]3 years ago
7 0

Answer:

a(b^{2}+c^{2}) = = -13

Step-by-step explanation:

Given that a = -1, b=2 and c= -3

find the value of a(b^{2}+c^{2})

Just substitute the values given for each variable

a(b^{2}+c^{2}) = (-1)(2^{2}+(-3)^{2}) ; do the exponents first

a(b^{2}+c^{2}) = (-1)(4+9)=(-1)(13) ; now add inside the parenthesis;

a(b^{2}+c^{2}) = -13 ; and multiply by -1

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There are 10 decimeters in every meter. If a piece of fabric is 32 decimeters long, how long is it when measured in meters?
lara31 [8.8K]
10 dm = 1 m
32 dm = 32/10 = 3.2 m
Answer: 3.2 m
8 0
3 years ago
Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.​
koban [17]

Answer:

x^2 + 4x + y^2 +8y  =  0

Step-by-step explanation:

Given

A = (-1,-2)

B = (2,4)

AP:BP = 1 : 2

Required

The locus of P

AP:BP = 1 : 2

Express as fraction

\frac{AP}{BP} = \frac{1}{2}

Cross multiply

2AP = BP

Calculate AP and BP using the following distance formula:

d = \sqrt{(x - x_1)^2 + (y - y_1)^2}

So, we have:

2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

Take square of both sides

4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2

Evaluate all squares

4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16

Collect and evaluate like terms

4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20

Open brackets

4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20

Collect like terms

4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y  + 20 - 20 =  0

3x^2 + 12x + 3y^2 +24y  =  0

Divide through by 3

x^2 + 4x + y^2 +8y  =  0

3 0
3 years ago
Which equation represents the line that passes through points (0,6) and (2.0)?
Natali5045456 [20]
Fgggvggggggggggggggggggggg
7 0
2 years ago
Need help with this asap!
My name is Ann [436]

Answer:

Step-by-step explanation:

1 )  2 + 7t                        [ there are no like terms , so no further simplifying ]

2) 6r + ( - 16 r )

   =  6 r - 16 r                 [ both are like terms ]

   = - 10 r

3) (3x + 2 ) + ( 2x - 4 )

   = 3x + 2 + 2x - 4

   = 3x + 2x - 4 + 2               [ arranging like terms together ]

   = 5x - 2

4) (8 n² - 3 n + 6 ) + ( n - 2 )

   = 8n² - 3n  + 6 + n - 2

   = 8n² - 3n + n + 6 - 2             [ bringing like terms together ]

   = 8n² - 2n + 4

6 0
3 years ago
Read 2 more answers
-b+10b+2b+17=6 please help me
anzhelika [568]

Answer:

-1

Step-by-step explanation:

-b+10b+2b+17=6

9b+2b+17=6

11b+17=6

11b=6-17

11b=-11

b=-1

5 0
2 years ago
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