I confused on this question

Mathematics

2 answers:

Fynjy0 [20]3 years ago

6 0

42 degrees. Comment down if you need the explanation why

zhenek [66]3 years ago

5 0

The answer is 42 degress

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What is the prime factorization of 32?

Vlada [557]

Fiidjdjdjdsjjdjdjdje

7 0

3 years ago

Help please!! Triangle QRS is similar to triangle TUV. Write the equation, in slope-intercept form, of the side of triangle QRS

Vanyuwa [196]

Answer:

y = x +9

Step-by-step explanation:

Side RS of triangle QRS is the one that is parallel to side UV. Being parallel, it has the same slope as UV. We observe that UV has a "rise" of 3 units (from 2 to 5) and a "run" of 3 units (from 1 to 4). Its slope is ...

m = rise/run = 3/3 = 1

The point-slope form of the equation for a line is ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

We observe that point S has coordinates (-8, 1), so we can write the equation of line RS in point-slope form as ...

y -1 = 1(x -(-8))

Adding 1 to both sides and simplifying, we have the slope-intercept equation ...

y = x +9

3 0

1 year ago

I promise I will mark as brainiest if a speed of a car increase its average speed in a journey of 200 miles by 5 mile/hour the j

jok3333 [9.3K]

Answer:

$\large \boxed{\sf \ \ \ \dfrac{\sqrt{4025}-5}{2}=29.22144... \ \ \ }$

Step-by-step explanation:

Hello

<u>Let's note the original speed of the car v</u>

it means that in 1 hour he is going v miles

so to go 200 miles it takes ( in hour)

$\dfrac{200}{v}$

If the speed of the car is v+5 than to go 200 miles it takes (in hour)

$\dfrac{200}{v+5}$

and this time is one hour less so we can write

$\boxed{\sf \ \ \dfrac{200}{v+5}=\dfrac{200}{v}-1 \ \ }$

We can multiply by v(v+5) both parts of the equation so

$200v=200(v+5)-v(v+5)\\\\200v=200v+1000-v^2-5v\\\\v^2+5v-1000=0$

$\Delta=b^2-4ac=5^2+4*1000=4025\\\\ \text{There are potential solutions }\\\\\ \ \ \ \ x_1=\dfrac{-5-\sqrt{4025}}{2}\\\\\ \ \ \ \ x_2=\dfrac{-5+\sqrt{4025}}{2}$