Answer:
x= -17
Step-by-step explanation:
When we have 2 points, we can find the slope using
m = (y2-y1)/(x2-x1)
Substituting what we know
1/5 = (0-3)/(x--2)
1/5 = -3/(x+2)
Using cross products
1*(x+2) = 5*(-3)
x+2 = -15
Subtract 2 from each side
x+2-2 = -15-2
x=-17
Answer is 28 inches.
A square has equal sides and to find the perimeter, you add all the sides.
7 x 4 = 28
Answer:
15 cm on the map is equal to 25 miles.
Step-by-step explanation:
Given that,
On a map, 9 cm represents 15 miles.
The distance between two cities is 15 cm. We need to find the distance in miles.
9 cm = 15 miles
![1\ cm=\dfrac{15}{9}\ \miles](https://tex.z-dn.net/?f=1%5C%20cm%3D%5Cdfrac%7B15%7D%7B9%7D%5C%20%5Cmiles)
So, 15 cm is equal to,
![15\ cm=\dfrac{15}{9}\times 15\ miles\\\\=25\ miles](https://tex.z-dn.net/?f=15%5C%20cm%3D%5Cdfrac%7B15%7D%7B9%7D%5Ctimes%2015%5C%20miles%5C%5C%5C%5C%3D25%5C%20miles)
So, 15 cm on the map is equal to 25 miles.
Step-by-step explanation:
if 5s=3h
34s=?
we will criss cross and
<u>5sx</u><u>?</u>=<u>3h</u><u>×</u><u>34s</u><u> </u>
<u>5s</u><u> </u> <u>5s</u>
=19.5h
Answer:
Solutions:
, ![x = \frac{-3}{4} - i \sqrt{39}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-3%7D%7B4%7D%20-%20i%20%5Csqrt%7B39%7D)
Step-by-step explanation:
Given the quadratic equation, 2x² + 3x + 6 = 0, where a =2, b = 3, and c = 6:
Use the <u>quadratic equation</u> and substitute the values for a, b, and c to solve for the solutions:
![x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%2B%2F-%20%5Csqrt%7Bb%5E%7B2%7D%20-%204ac%7D%20%7D%7B2a%7D)
![x = \frac{-3 +/- \sqrt{3^{2} - 4(2)(6)} }{2(2)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-3%20%2B%2F-%20%5Csqrt%7B3%5E%7B2%7D%20-%204%282%29%286%29%7D%20%7D%7B2%282%29%7D)
![x = \frac{-3 +/- \sqrt{9- 48} }{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-3%20%2B%2F-%20%5Csqrt%7B9-%2048%7D%20%7D%7B4%7D)
, ![x = \frac{-3 - i \sqrt{39} }{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-3%20-%20i%20%5Csqrt%7B39%7D%20%7D%7B4%7D)
Therefore, the solutions to the given quadratic equation are:
, ![x = -\frac{3}{4} - i \sqrt{39}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B3%7D%7B4%7D%20-%20i%20%5Csqrt%7B39%7D)