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2 years ago

2x+8y=5 24x-4y=-15 the solution to the system is ( , ) ( , )

Mathematics

1 answer:

kicyunya [14]2 years ago

3 0

[-½, ¾]; use either "Substitution" or "Elimination" to do this, and you'll see that this answer is correct.

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Consider a pattern that begins with 180 and each consecutive number is 19 less than the previous term. What are the first five t

Lynna [10]

C is the correct answer. Hope that helped.

4 0

2 years ago

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What is the slope of the line of (1,0) and (-1,-3)

Alinara [238K]

Slope formula: m = $\frac{(y2-y1)}{(x2-x1)}$ (Knowing that m represents the slope)

Substitute (1,0) for (x1,y1), and (-1,-3) for (x2,y2)

Slope of the line of (1,0) and (-1,-3) is:

m = $\frac{(-3-0)}{(-1-1)}$ = $\frac{-3}{-2}$ = $\frac{3}{2}$

(Simplify)

Slope of the line of (1,0) and (-1,-3) is $\frac{3}{2}$

6 0

2 years ago

Consider the equation

muminat

Answer:

A. $a=10\\ \\b\neq -8$

B. $a=10\\ \\b= -8$

Step-by-step explanation:

Consider the equation

$2(5x-4) = ax + b$

A. This equation has no solutions when the coefficients at x are the same and the free coefficients are not the same.

First, use distributive property:

$2(5x-4)=2\cdot 5x-2\cdot 4=10x-8$

So, the equation is

$10x-8=ax+b$

This equation has no solutions when

$a=10\\ \\b\neq -8$

B. The equation has infinitely many solutions when the coefficients at x are the same and the free coefficients are the same too.

So, the equation

$10x-8=ax+b$

has infinitely many solutions when

$a=10\\ \\b= -8$

In other cases, the equation has a unique solution

5 0

2 years ago

The length of a rectangle is 3cm more than twice the width. The perimeter of the rectangle is 42 cm. Find the dimensions of the

bogdanovich [222]

The width is 6cm
And the length is two times + 3 of the width
6 X 2 + 3 = 15
Add all 4 sides for the perimeter 6+6+15+15=42
The the dimensions are a rectangle that is 6cm wide and 15cm tall

5 0

2 years ago

Write an equation of the circle with center (4,5) and radius 9.

mixer [17]

Answer:

I'm going to write both of these because maybe you have a fill in the blank question. I don't know.

$(x-4)^2+(y-5)^2=9^2$

Simplify:

$(x-4)^2+(y-5)^2=81$

Step-by-step explanation:

$(x-h)^2+(y-k)^2=r^2$ is the equation of a circle with center (h,k) and radius r.

You are given (h,k)=(4,5) because that is the center.

You are given r=9 because it says radius 9.

Let's plug this in.

$(x-4)^2+(y-5)^2=9^2$

Simplify:

$(x-4)^2+(y-5)^2=81$

6 0

2 years ago

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