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3 years ago

Set up a linear system and solve.

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

6 0

Answer: The smaller integer is 12, while larger integer is 23

Step-by-step explanation:

The sum of two positive integer;

a + b = 35, when smaller integer is subtracted from twice the larger integer we have, 2a - b = 34 assuming b as the smaller integer, so your equation goes this way.

a + b = 35........(1)

2a - b = 34.......(2). To solve by elimination method add both equation. We have;

3a + 0 = 69

3a = 69, divide both sides by 3.

3a/3 = 69/3 so we have;

a = 23

To know the value of b, substitute 23 for the value of a in any of the equations, let's go with (1). From one we have;

a + b = 35 if a = 23 we have;

23 + b = 35

b = 35 - 23

b = 12.

Check: a + b = 35

23 + 12 = 35

35 = 35

The answer is correct.

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Answer:

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3 years ago

What is the measure of angle A

stellarik [79]

Answer:

The angle of A is 80°

Step-by-step explanation:

Given that angle A lies on a straight line which is 180°. So in order to find A, you have to substract 100° from 180° :

∠A + 100° = 180°

∠A = 180° - 100°

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3 years ago

2 less then 3 times a number is 9

Masteriza [31]

$\huge\boxed{\text{As an expression:}\ 3x-2=9}$

$\huge\boxed{\text{Solved for x:}\ x=\frac{11}{3}}$

Let's start with " $3$ times a number". We will use $x$ to represent the number. $3x$

" $2$ less than" is next. $-2$

Finally, "is $9$ ". $=9$

Put it all together to get an expression. $\boxed{3x-2=9}$

Now, let's solve for the unknown number.

Add $2$ on both sides of the equation. $3x=11$

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3 years ago

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gavmur [86]

Answer:

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Step-by-step explanation:

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3 years ago

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Complete the factorization of 3x ^ 2 - 10x + 8 3x^ 2 -10x+8=(x- Box x-4)

aniked [119]

Answer:

$3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})$

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

$ax^2+bx+c$ (1)

You have the following polynomial:

$3x^2-10x+8$ (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

$x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

$x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}$

Then, the factorization of the polynomial is:

$3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})$

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3 years ago