# Washington is 44 miles south of lawrence. and midland is 63 miles east of lawrence.

how far apart are washington and midland?

a: 19 miles

b: 27 miles

c: 77 miles

d: 107 miles

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

why?the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

[tex]3x-6[/tex]

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

[tex]3x-6=0[/tex]

[tex]3x=6[/tex]

[tex]x=\frac{6}{3}=2[/tex]

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.

C: 77 miles

Step-by-step explanation:

The points form a right triangle triangle with the legs being 44 and 63 and the distance between Washington and Midland being the hypotenuse.

See graph and connect the dots.

We can use the Pythagorean theorem to find the hypotenuse

a^2 +b^2 =c^2

44^2 + 63^2 = c^2

1936 + 3969 = c^2

5905 = c^2

Take the square root of each side

76.84399781

Rounding to the nearest mile

77 miles

...

- -6. f(3) - 6. g(-1) =...
- Write the equation for a parabola that has a vertex (2, -1) and a directrix of x = 5...
- A box is partially filled with books. If 24 cubic inches of the box are already filled and there are 12 cubic inches of space left, what is the total volume of the box (in cubic in...
- The radius of a cylindrical water tank is 6 ft , and its height is 11 ft . What is the volume of the tank? Use the value for , and round your answer to the nearest whole number. Be...
- Factor completely 9x3 + 36x2 − x − 4. (3x + 4)(3x − 4)(x + 1) (3x + 1)(3x − 1)(x + 4) (9x2 − 1)(x + 4) (3x + 1)(3x − 1)(x − 4)...
- Squareroot 2x+1 end square root + 3 = 0 is x=4 Do you agree? Explain why or why not....
- Here is a pattern made from sticks...
- The function f(x)=2(5)^-3x-12 +6 transformation have on parent function f(x)=5^x...
- Which statements accurately describe how to determine the y-intercept and the slope from the graph below? Гу 10 8 6 4 2 24 B 8 10 x -10 -3 -6 Ruz 4....
- Khalil plays on the interleague soccer team at school. The team has practice jerseys for the players. The jerseys come in blue, black, or gray, in sizes small, medium, and large. F...