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4 years ago

Ifa-b=4 and a^2- b^2=3, what is the value of a+b?

Mathematics

1 answer:

kiruha [24]4 years ago

5 0

Answer:

$\large\boxed{a+b=\dfrac{3}{4}}$

Step-by-step explanation:

$\text{Use}\ a^2-b^2=(a-b)(a+b).\\\\\text{We have}\ a-b=4\ \text{and}\ a^2-b^2=3.\\\\\text{Substitute:}\\\\3=4(a+b)\qquad\text{divide both sides by 4}\\\\\dfrac{3}{4}=(a+b)\to a+b=\dfrac{3}{4}$

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If UV=x+13 and RT=x-37, What is the value of x?

liberstina [14]

Answer:

x = 87

Step-by-step explanation:

the ratio SR / RV is equal the ratio ST / TU (both ratios are equal to 1), and the angle in the vertex S is the same for both triangles SUV and STR, so we can affirm that these triangles are similar (case S-A-S).

Then, we have that the ratio SR / SV is the same as RT / UV:

SR / SV = RT / UV = 1 / 2

RT * 2 = UV

2*(x - 37) = x + 13

2x - 74 = x + 13

x = 87

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4 years ago

Find the size of the angles marked with a letter

Marina CMI [18]

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3 years ago

Which system of equations is equivalent to the following system? 3x + 5y = 29 x + 4y = 16 3x + 5y = 29 −x − 4y = 16 3x + 5y = 29

sp2606 [1]

Answer:

Option 3x+5y=29 and -3x-12y=-48 is the system of equations equivalent to the given system of equations 3x+5y=29 and x+4y=16

Step-by-step explanation:

Given system of equations is 3x+5y=29 and x+4y=16

To find the equivalent system of equations to the given system of equations :

Option 3x+5y=29 and -3x-12y=-48 is the system of equations represents the given system of equations.

Because we can write the given equations as below

3x+5y=29 and x+4y=16

x+4y=16 rewritting as below

When multiply the above equation into (-3) we get

$(-3)\times (x+4y)=16\times (-3)$

$-3x-4y=-48$ as same as the equation x+4y=16 so we can say that they are equivalent

Therefore Option 3x+5y=29 and -3x-12y=-48 is the system of equations represents the given system of equations

Therefore 3x+5y=29 and -3x-12y=-48 is the system of equations equivalent to the given system of equations 3x+5y=29 and x+4y=16

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3 years ago

I need to find the measure of the arc or angle indicated its internal and external tangents

Amanda [17]

Answer:

78°

Step-by-step explanation:

If the Vertex of the angle is ON the circle, then the arc is double the angle. See image.

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2 years ago

Will earns $98 a week bagging groceries. He saves 80% of what he makes per week and spends the rest on lunches. How much does Wi

Juli2301 [7.4K]

Answer:

$19.60

Step-by-step explanation:

$98 is made each week.

80% is saved, and the rest is spend on lunch, so 20% is spent on lunch.

20%=.20

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$19.60 is spend on lunches each week.

7 0

3 years ago