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timurjin [86]
3 years ago
5

The points (8,2) and (9,10) fall on a particular line. What is its equation in point-slope form?

Mathematics
1 answer:
scZoUnD [109]3 years ago
4 0

Answer:

y - 10 = 8(x-9)

Step-by-step explanation:

m= (10-2)÷(9-8) =8

y-y1 = m(x-x1)

y-10 = 8(x-9)

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Kenny has 2 red marbles, 3 blue marbles, and 4 black marbles. Which ratio compares a part to the whole?
just olya [345]

Answer:

3:9

Step-by-step explanation:

since there are 9 marbles in total it must be x to 9

the only solution available, which shows this is 3:9

8 0
3 years ago
Read 2 more answers
Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the
kvasek [131]
The axis of symmetry of a quadratic function f(x)=ax^2+bx+c is given by the equation x=h, where h is the x-coordinate of the vertex and is equal to \frac{-b}{2a}.

1.
f(x)=4x^2-1 \\
a=4 \\ b=0 \\ \Downarrow \\
h=\frac{-0}{2 \times 4}=0 \\ \\
\hbox{the axis of symmetry:} \\
x=0

2.
g(x)=x^2-8x+5 \\
a=1 \\ b=-8 \\ \Downarrow \\ h=\frac{-(-8)}{2 \times 1}=\frac{8}{2}=4 \\ \\
\hbox{the axis of symmetry:} \\
x=4

3.
h(x)=-3x^2-12x+1 \\
a=-3 \\ b=-12 \\ \Downarrow \\ h=\frac{-(-12)}{2 \times (-3)}=\frac{12}{-6}=-2 \\ \\
\hbox{the axis of symmetry: \\
x=-2

The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).
7 0
3 years ago
Simplify. 5√ 10 <br> 1) 2√ 2) 2√2 3) 10√2 4) 5√
Nataly_w [17]

For this case we have that the expression in its exact form is the same, that is:

5 \sqrt {10}

If it is expressed in decimal form we have:

5 \sqrt {10} = 1.5849

If we want equivalent expressions, we must first mention the following property of powers and roots:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

Then, we can rewrite the expression as:

5 \sqrt {10} = \sqrt {5 ^ 2 * 10} = \sqrt {25 * 10} = \sqrt {250}

Answer:

5 \sqrt {10} = \sqrt {250} = 1.5849

8 0
3 years ago
Use the formula C = 2πr and π= 3.14 to find the circumference of a circle with a radius of 5 meters.
professor190 [17]
Solution D 

Just put into a calculator 

Hope I helped :)

7 0
4 years ago
mrs cindy had2/3 of a cake .she divided the cake equally among her 3 children. what fraction of the cake did each children get?
satela [25.4K]
Each kid would get 2/9 of the cake
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