Answer:
Parallel
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
4x + 2y = 10 ( subtract 4x from both sides )
2y = - 4x + 10 ( divide through by 2 )
y = - 2x + 5 ← in slope- intercept form
with slope m = - 2
and
y = - 2x + 15 ← is in slope- intercept form
with slope m = - 2
• parallel lines have equal slopes
then the 2 lines are parallel
Nice, already in vertex form
y=a(x-h)^2+k
(h,k) is vertex
therfor since (-3,6) is vertex
we are looking for something like
y=a(x-(-3))^2+6 simplified to
y=a(x+3)^2+6
A is ansre
Answer:
15
Step-by-step explanation:
All sides of a rhombus are equal, so

The quotient for the given mixed fraction is 1.9318
Step-by-step explanation:
Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction
we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get
. Similarly, we get the improper fraction
for converting the mixed fraction
.
Step 2; After conversion, it's just a matter of division. The fraction
equals 4.25 while the denominator
equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.
2 times 2^30 simple means
that = (2^1) x (2^30)
<span>In multiplying numbers of the same base (in this case 2), the
exponents are just added, therefore giving us:
</span>
(2^1) x (2^30) = (2^31)
Answer:
<span>2 to the 31 power</span>