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max2010maxim [7]
3 years ago
8

Linda thinks of a two digit number. The sum of the digits is 8. If she reverses the digits, the new number is 36 greater than th

e original number. What was linda's original number?
Mathematics
2 answers:
Umnica [9.8K]3 years ago
4 0

Answer:

26

Step-by-step explanation:

2 + 6 = 8

62 - 26 = 36

vladimir1956 [14]3 years ago
4 0

Answer:

26

Step-by-step explanation:

2 + 6 = 8


62 - 26 = 36



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Len [333]
Be more specific, what your talking about ?
3 0
2 years ago
Find the domain and range of the graph
Rainbow [258]

Answer:

Domain: [-2,1)

Range: [0,4]

Step-by-step explanation:

<u>Domain</u>

We can see that the piecewise function starts at x=-2, which is included, and ends at x=1, which isn't included. To represent the x-values that lie in between these two endpoints, you would write [-2,1). Brackets show that one endpoint is included while parentheses show that one endpoint isn't included.

<u>Range</u>

Following this logic, the range has its y-values go from 0 to 4 with both endpoints included if you were to trace the function. Thus, your range would be [0,4].

3 0
2 years ago
A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set
lara [203]

A circle with center (3,0) and radius 5 has equation

(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x  = 16

If we substitute y=2x+k in this equation, we have

x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0

The expression simplifies to

-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89

The solutions to the associated equation are

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So, the parabola is negative between the two solutions:

-6-5\sqrt{5}

8 0
3 years ago
A spinner is half red and half blue. If you spin the spinner twice, what is the probability that you will get red both times?
Usimov [2.4K]

Answer:  Probability of getting red both times is \frac{1}{4}

Step-by-step explanation:

Since we have given that

A spinner is half red and half blue.

Probability of getting red is given by

\frac{1}{2}

Probability of getting blue is given by

\frac{1}{2}

Since he spins the spinner twice.

Probability that you will get red both times is given by

\frac{1}{2}\times \frac{1}{2}\\\\=\frac{1}{4}

Hence, Probability of getting red both times is \frac{1}{4}

4 0
3 years ago
A rental car costs $65.95 if 30 miles are driven and $75.95 if 50 miles are driven. Construct
Mazyrski [523]

Answer:

y = 0.5x + 50.95

Step-by-step explanation:

Given y is total cost while x is total miles

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y = mx + b

y = 0.5x + b

75.95 = 0.5(50) + b

b = 50.95

Slope intercept form: y = 0.5x + 50.95

4 0
2 years ago
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