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Alisiya [41]
3 years ago
12

How do you know if a function has more than one common solution

Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer:

A system of linear equations will have one point of intersection, or one solution. To graph a system of equations that are written in standard form, you must rewrite the equations in slope -intercept form.

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The length of a rectangle is the sum of the width and 4. The area of the rectangle is 32
Sauron [17]

Answer:

The width of rectangle w = 4 units

Step-by-step explanation:

We are given:

Width of rectangle = w

Length of rectangle = w+ 4

Area of rectangle = 32 units

We need to find width of the rectangle

The formula used is: Area\:of\:rectangle=Length\times Width

Putting values and finding width of rectangle

Area\:of\:rectangle=Length\times Width\\32=(w+4)\times w\\32=w^2+4w\\w^2+4w-32=0

We need to solve this quadratic equation to find width (w)

We will use factorisation and break the middle term.

w^2+4w-32=0\\w^2+8w-4w-32=0\\w(w+8)-4(w+8)=0\\(w-4)(w+8)=0\\w-4=0\:or\:w+8=0\\w=4\:or\:w=-8

Since width of rectangle can't be negative, so rejecting w=-8

Therefore, the width of rectangle w = 4 units

4 0
3 years ago
The answers to the problems
GuDViN [60]

Answer:

the fisrt question it b

4 0
3 years ago
a dust mite is 400 pm long under a microscope, it looks 100,000 pm long. what magnification scale was used​
Novay_Z [31]

Answer: 250:1

Step-by-step explanation:

Divide the measurement of appearance by the actual measurement.

100,000/400=250

The magnification scale is 250:1. The scale is used by a 250X magnifying lense.

6 0
1 year ago
I need help with the question above. Pls help.
FinnZ [79.3K]

Answer:

What do you want us to answer?

Step-by-step explanation:

8 0
3 years ago
Write an equation in slop-intercept form for the line that passes through (5, 4) and is parallel to the line y = 2x + 1.
Vladimir79 [104]

Answer:

y = 2x - 6

Step-by-step explanation:

The slopes of parallel lines have the same slope, so the other line must also have a slope of 2.

First, we know that an equation in point-slope form is y-y1 = m(x-x1). We can plug in the values here (5, 4) into the equation:

y - 4 = 2(x-5)

Simplify:

y - 4 = 2x - 10

Therefore, the equation is:

y = 2x - 6

8 0
3 years ago
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