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3 years ago

2) -7(10b+4)-3(-6b+ 5)

Mathematics

2 answers:

zubka84 [21]3 years ago

4 0

Answer:

52b+43

Step-by-step explanation:

-7(10b+4)-3(-6b+ 5)

then -70b-28+18b-15

then -70b+18b-28-15

lastly 52b+43

goldenfox [79]3 years ago

3 0

The answer to the question is
52b - 43

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List 15 prime numbers

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Answer:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

Step-by-step explanation:

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3 years ago

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3 years ago

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

zloy xaker [14]

Answer:

Yes

(-4,-2) is a solution of a given system of equation

Step-by-step explanation:

Explanation:-

Given that the equation

y = 2 x + 6 ..(i)

Given point (-4,-2)

substitute x =-4 and y = -2 in equation (i)

-2 =2(-4) +6

-2 = -8+6

-2 =-2

∴ The point satisfies the given equation

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3 years ago

How many real solutions does this system of equations have? x2+y2=363x−y+1=0 A. 0 B. 3 C. 2 D. 1

Rus_ich [418]

Answer:

Correct option: C -> 2

Step-by-step explanation:

The first equation is:

$x^2+y^2=363$

And the second equation is:

$x-y+1=0$

From the second equation, we have:

$y = x + 1$

Using this value of y in the first equation, we have:

$x^2 + (x+1)^2 = 363$

$x^2 + x^2 + 2x + 1 = 363$

$2x^2 + 2x= 362$

$x^2 + x - 181 = 0$

Calculating the discriminant Delta, we have:

$\Delta = b^2 - 4ac = 1 + 4*181 = 725$

We have $\Delta > 0$ , so we have two real values for x, therefore we have two solutions for this system.

Correct option: C.

(If the system of equation is actually:

$x^2+y^2=36$

$3x-y+1=0$

We would have:

$y = 3x + 1$

$x^2+(3x+1)^2=36$

$x^2+9x^2+6x+1=36$

$10x^2+6x-35=0$

$\Delta = 36 + 1400 = 1436$

We also have $\Delta > 0$ , so we have two solutions for this system.

Correct option: C.)

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3 years ago

The length of a rectangle is 3 more inches than the width. Find the length and width of the rectangle is the perimeter of the re

n200080 [17]

Part A:

Let the width of the rectangle be = x inches

As given, the length of a rectangle is 3 more inches than the width so let the length of the rectangle be = x+3 inches

Perimeter is given as = 54 inches

Perimeter = $2(l+b)$

Equation becomes:

$2(x+3+x)$ =54

$2(2x+3)=54$

Part B:

Solving the equation we get

$4x+6=54$

$4x=54-6$

$4x=48$

$x=12$

Hence, the width of the rectangle is 12 inches

Length = x+3 = 12+3 = 15 inches

Hence, length of the rectangle is 15 inches.

5 0

4 years ago