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Lubov Fominskaja [6]
3 years ago
8

The sum of two numbers is 45 and the difference is 3. What are the numbers?​

Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

Answer:

24 and 21 are the two numbers

Step-by-step explanation:

let n represent the unknown number

let n-3 represent the second unknown number

n+n-3 = 45

2n-3=45

2n=45+3

2n=48

n=48/2

n=24

n-3=21

CHECK: 24+21=45

.˙. the first number is 24 and the second number with a difference of 3 is 21

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Write the expression that appears under the radical symbol in the quadratic formula. what is the quality called? what can it be
ira [324]
This expression is called the Discriminant, also shown as Δ.
It is equal to b² - 4ac. This is a very important part of the quadratic formula as it determines whether x will have two values, one repeated value or no real values. Here are a few examples.

a) x² - 2x - 1. a is equal to 1 since 1x² = x². b = -2, c = -1
The discriminant will be (-2)² - 4×1×-1 = 4 + 4 = 8.
Since Δ > 0, there are two x values. Graphed, the parabola sinks below the x axis.

b) x². a = 1, b = 0 (0x = 0), c = 0
The discriminant will be 0² - 4×1×0 = 0 - 0 = 0.
Since Δ = 0, there is only one x value. Graphed, the parabola touches the x axis at only one point.

c) x² + 1. a = 1, c = 1.
The discriminant will be 0² - 4×1×1 = 0 - 4 = -4
Since Δ < 0, there are no real x values. Graphed, the parabola floats above the x axis.

Hope this helps!
8 0
3 years ago
Pls help meh
san4es73 [151]

Answer:

7.1 (7.06 rounded to the tenth)

Step-by-step explanation:

The formula for Area of a Circle is: π·r²

R = Radius

π = pi, or 3.14

As long as you know the formula, this is easy!

In class, you may have already been told that the radius is <em>half </em>of the diameter.

1. Half of 3 ft is 1.5 ft.

2. Plug 1.5 in for r, in your calculator

3. Do the calculation, and you should come out to get 7.06858347058

4. Round it!

Finding area for a circle is satisfying, isn't it? xD

5 0
2 years ago
Rita's family is moving to Grand Junction to Dallas. The moving van averages 60 miles each hour. About how many hours does the v
Eddi Din [679]

Answer:

16 hours and 20 minutes.

Step-by-step explanation:

Please consider the complete question.

Rita's family is moving to Grand Junction to Dallas, which is 980 miles. The moving van averages 60 miles each hour. About how many hours does the van take to reach Dallas?

To find the time taken by van to reach Dallas, we will divide total distance by speed.

\text{Time}=\frac{\text{Distance}}{\text{Speed}}

\text{Time taken to reach Dallas}=\frac{980\text{ Miles}}{60\frac{\text{ Miles}}{\text{Hour}}}

\text{Time taken to reach Dallas}=\frac{980\text{ Miles}}{60}\times \frac{\text{ Hour}}{\text{Miles}}

\text{Time taken to reach Dallas}=\frac{98}{6}\text{ Hour}

\text{Time taken to reach Dallas}=16.3333\text{ Hour}

Let us convert 0.3333 hours into minutes by multiplying 0.3333 by 60.

0.3333\times 60=19.998\approx 20

Therefore, it will take 16 hours and 20 minutes for the van to reach Dallas.

5 0
3 years ago
What is the midpoint of line segment AB?
Elza [17]

Answer

Midpoint = (3, 5.5)

Step by step explanation

Here we have to use the midpoint formula.

Midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} \\)

Here the point A = (-1, 8) and B = (7, 3)

x1 = -1, y1 = 8, x2 = 7 and y2 = 3

Now plug in these values into the formula.

Midpoint = (\frac{-1 + 7}{2} , \frac{8 + 3}{2}

= (6/2, 11/2)

= (3, 5.5)

Therefore, the midpoint the line segment AB is (3, 5.5)

Thank you.


8 0
3 years ago
Read 2 more answers
How to find x for similar right triangles
Marianna [84]

{(12 \sqrt{7)} }^{2}  = 16x \\ 144 \times 7 = 16x \\ x = 63
5 0
3 years ago
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