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Sunny_sXe [5.5K]
3 years ago
5

You start driving north for 3 miles, turn right, and drive east for another 4 miles. At

Mathematics
1 answer:
Elanso [62]3 years ago
7 0

Answer:

The straight line distance is 5 miles from starting point

Step-by-step explanation:

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Write the equation of the circle in standard form: Center (7,0) R=1
Mice21 [21]

Answer:

(x-7)^2+y^2=1

Step-by-step explanation:

Hi there!

Equation of a circle: (x-h)^2+(y-k)^2=r^2 where the circle is centered at (h,k) and the radius is r

<u>1) Plug in the given center (7,0)</u>

(x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2

<u>2) Plug in the radius (1)</u>

(x-7)^2+y^2=1^2\\(x-7)^2+y^2=1

I hope this helps!

8 0
3 years ago
On a certain map, 1.25 inches represents 20 miles. Longwood and Milltown are 5 inches apart on the map. What is the actual dista
Elanso [62]
Divide 5 by 1.25. That equals 4. Multiply 4 by 20 and that equals 80. So its 80 miles between Longwood and Milltown.
3 0
3 years ago
Read 2 more answers
Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→4 x2 − 16 x
ivolga24 [154]
Probably you are supposed to compute

\displaystyle\lim_{x\to4}\frac{x^2-16}{x^2-4x}

Factorize the numerator and denominator, then simplify:

\displaystyle\lim_{x\to4}\frac{(x-4)(x+4)}{x(x-4)}=\lim_{x\to4}\frac{x+4}x=\frac{4+4}4=2
6 0
3 years ago
What is the value of x if a² + ax - 10 is divided by a-2?<br><br>help with computation po​
AnnyKZ [126]

Answer:

x = 3

Step-by-step explanation:

We need it in factorized form to get x.

If the quadratic equation can be divided by a-2 the first part is:

(a-2)

Now to get a², the a must be multpilied by itself. So

(a-2)(a)

To get -10, -2 must be multiplied by 5. So:

(a-2)(a+5)

we can expand to get x

a² + 5a - 2a -10

a² + 3a - 10

a² + ax - 10

x = 3

5 0
2 years ago
In Mr. Johnson’s classes, 30% of the students scored a 95 on a quiz. Let be the total number of students in Mr. Johnson’s classe
STatiana [176]

Answer:

15 students (30% of the students in class) scores a 95 on a quiz.

Therefore the total number of students (100% of the students) in class is:

N = 15 x 100/30 = 50 (students)

(This calculation is inferred from a ratio that 15/N = 30/100).

Denote the number of students who scored a 95 on a quiz is a, the total number of students in class is b.

Then the equation that related a and b is:

b = (100/30) x a

Hope this helps!

:)

6 0
3 years ago
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