What is the equation of a line that passes through the point (10, 5) and is perpendicular to the line whose equation is y=5/4x−2 ?

Step-by-step explanation:

5 = −⅘[10] + b

−8

If you want it in Standard Form:

y = −⅘x + 13

+ ⅘x + ⅘x

___________

⅘x + y = 13 [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]

5[⅘x + y = 13]

* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], so 1¼ [or 5⁄4] becomes −⅘.

I am joyous to assist you anytime.

umumumumum

im not sure

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.