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Irina-Kira [14]
3 years ago
8

How to write the sum of b and 10 is equal to 24

Mathematics
1 answer:
leva [86]3 years ago
4 0
B+10=24. That is the answer
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Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directric of x = -2?
vagabundo [1.1K]
Check the picture below.  So,the parabola looks like so, notice the distance "p". since the parabola is opening to the right, then "p" is positive, thus is 5.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})} \\\\
(x-{{ h}})^2=4{{ p}}(y-{{ k}}) \\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\

\bf -------------------------------\\\\
\begin{cases}
h=3\\
k=1\\
p=5
\end{cases}\implies (y-1)^2=4(5)(x-3)\implies (y-1)^2=20(x-3)
\\\\\\
\cfrac{1}{20}(y-1)^2=x-3\implies \boxed{\cfrac{1}{20}(y-1)^2+3=x}

8 0
3 years ago
Read 2 more answers
The mean length of 6 childrens' big finger is 6.7cm.
yaroslaw [1]

Answer:

New mean length of these 17 people=11.62

Step-by-step explanation:

<em>Step 1: Determine the total length of children's fingers</em>

L=l×n

where;

L=total length (cm)

l=mean length (cm)

n=number of children

replacing;

L=6.7×6=40.2 cm

The total children's fingers length=40.2 cm

<em>Step 2: Determine the total length of adults fingers</em>

total length of adults fingers=mean length of adults fingers×number of adults

where;

mean length of adults=14.3

number of adults=11

replacing;

total length of adults fingers=(14.3×11)=157.3 cm

<em>Step 3: Determine the new mean length</em>

new mean length=total length of adults and children fingers/number of adults and children

where;

total length of adults and children fingers=157.3+40.2=197.5 cm

number of adults and children=11+6=17

replacing;

new mean length=197.5/17=11.62

7 0
4 years ago
Line m is drawn so that it is perpendicular to two distinct planes, Q and R. What must be true about planes Q and R?
UNO [17]
B. are parallel.

<span>Line m is drawn so that it is perpendicular to two distinct planes, Q and R. Therefore, planes Q and R are parallel. 

Since it doesn't state that two planes intersect with each other, it is safe to assume that only line m is their connection. The planes are parallel with each other. </span>
7 0
3 years ago
What is the measure of angle J in the triangle below? <br> A. 99<br> B. 42 <br> C. 9<br> D. 48
Leya [2.2K]
For this use the law of sines:
\sin( \alpha ) \div a = \sin( \beta ) \div b \\ \sin( \alpha ) \div 11 = \sin(103) \div 16
\frac{ \sin( \alpha ) }{11} = \frac{0.97}{16}
cross-multiply:
16×sin (J) = 11×0.97
sin(J) = 10.72/16
sin(J) = 0.67
hit the "arcsin" button on your calculator:
{ \sin}^{ - 1} (0.67) = 42.06 = 42.1 \: deg
therefore answer B. 42 is the correct answer!!
4 0
3 years ago
A candy maker is making candy canes to sell over the holidays she has 45 left over the last month sale and she can make 225 per
notsponge [240]

F(x) stands for a function, and if x stands for the number of days, than she can do 225 per day, which would be the multiplication to find the toatl 225x.

Then, with 45 extra, we add that to the equation:

F(x) = 225x + 45

Answer: F(x) = 225x + 45

Credit to: @2Educ8

+ = <3

8 0
3 years ago
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