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3 years ago

If a(x + 1) + b(x − 1) − 2 = 0 for all real x, then a =

Mathematics

1 answer:

jek_recluse [69]3 years ago

7 0

Answer:

D) 1

Step-by-step explanation:

using the distributive property we have ax+a+bx-b-2=0. because the equation is true for all real x, ax=-bx. this means a-b-2=0 and a=-b. a-b-2=0 becomes a=b+2. then we substitute a for -b and get -b=b+2 which becomes 2b=-2 so b=-1. since a=-b, a=1

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I need help What do you call the pair of angles in this diagram

Varvara68 [4.7K]

Answer: According to the pair of angles in the diagram, its B) Adjacent.

Step-by-step explanation:

-Adjacent angles are two angles that don't overlap each other and have a common side and a common vertex.

3 0

3 years ago

Can somebody help me on 23 and 24, it’s geometry

alexdok [17]

Answer:

23. x = 4; DE = 44

24. x = 25; DS = 28

Step-by-step explanation:

23. Point S is the midpoint of DE, so ...

DS = SE

3x +10 = 6x -2

12 = 3x . . . . . . . . . add 2-3x

4 = x . . . . . . . . . . . divide by 3

Then DS has length ...

DS = 3x +10 = 12 +10 = 22

and DE is twice that length, so ...

DE = 44

24. DS is half the length of DE, so is ...

DS = DE/2 = 56/2

DS = 28

Then x can be found from ...

DS = x +3

28 -3 = x = 25 . . . . . substitute value for DS

_____

Comment on problem 24

Sometimes it is easier to work parts of a problem out of sequence. Here, finding DS first makes finding x easier.

8 0

3 years ago

Read 2 more answers

Solve this step by step using the quadratic function y=x^2 +x+2

Ne4ueva [31]

Answer:

x=+ $\frac{\sqrt{4y-7}-1 }{2}$

Step-by-step explanation:

Quadratic function =( -b+ $\sqrt{b^2+4ac}$ )/2a

x^2+x+2-y=0

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

x=-1+ $\sqrt{4y-7}$ /2

x=+ $\frac{\sqrt{4y-7}-1 }{2}$

Pretty sure this is right. Would appreciate a brainliest

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2 years ago

Standard form of a point that goes through-2,4 and the slope is -1/7

lesantik [10]

Answer:

Standard form of a line passing through (-2, 4) and having slope of -1/7 is x + 7y = 26

Solution:

Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7

Standard form of line passing through point ( a , b ) and having slope m is given by

(y – b) = m ( x – a) --------(1)

In our case given point is ( -2 , 4 ) and slope is -1/7 that means

a = -2 , b = 4 , m = -(1/7)

On substituting given value of a , b and m is equation (1) we get

$(y-4)=\left(-\frac{1}{7}\right)(x-(-2))$

$=>(y-4)=\left(-\frac{1}{7}\right)(x+2)$

=> 7( y - 4 ) = -x – 2

=> 7y + x = -2 + 28

=> x + 7y = 26

Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26

8 0

3 years ago

In the right triangle shown, find x.

Brut [27]

Answer:

Step-by-step explanation:

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2 years ago