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seropon [69]
4 years ago
14

Identify the stem of the following number: 231. A. 1 B. 2 C. 3 D. 23

Mathematics
1 answer:
Kruka [31]4 years ago
8 0
stem = 23
leaf = 1

Answer is choice D

The leaf is always a single digit because you can have multiple leaves without any separating mark. If you have something like "123" on the leaf column, then that means you have three leaves of 1, 2 and 3 which correspond to the same stem.
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Use the distributive property to simplify the following expression 4x(2x-6)
Drupady [299]
4x (2x - 6)

8x - 24x 

= -16x

3 0
4 years ago
What is the equation of the line parallel to 3x + 5y = 11 that passes through the point (15, 4)?
soldier1979 [14.2K]

Answer:

The answer is

<h2>y =  -  \frac{3}{5} x + 13</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is 3x + 5y = 11

We must first write the equation in the general equation above

So we have

5y = - 3x + 11

Divide both sides by 5

<h3>y =  -  \frac{ 3}{5} x +  \frac{11}{5}</h3>

Comparing with the general equation above

Slope = - 3/5

Since the lines are parallel their slope are also the same

Slope of parallel line = - 3/5

So the equation of the line using point

(15, 4) and slope - 3/5 is

<h3>y - 4 =  -  \frac{3}{5} (x - 15) \\y - 4 =  -  \frac{3}{5} x + 9 \\ y =  -  \frac{3}{5} x + 9 + 4</h3>

We have the final answer as

<h3>y =  -  \frac{3}{5} x + 13</h3>

Hope this helps you

8 0
3 years ago
Find the area of PQRS. Show the figures you
SVEN [57.7K]
P- (-1,7) Q-(2,7) R-(7,-3) S-(-4,-4)
4 0
2 years ago
Use the explicit formula an = a1 + (n - 1) • d to find the 350th term of the sequence below. 57, 66, 75, 84, 93, ... A. 3234 B.
mylen [45]
To use the equation we need a1 and d(the common difference).
We have a1 = 57, we need to find d.
93-84 = 9; 84-75=9; 75-66=9; 66-57=9
d = 9
a350 = 57 + (350-1)(9)
a350 = 57 + (349)(9)
a350 = 57 + 3141
a350 = 3198
4 0
3 years ago
Read 2 more answers
Solve using the method of elimination and determine if the system has 1 solution, no solutions, or infinite solutions
Minchanka [31]

\begin{array}{rrrrr} 10x&-&18y&=&2\\ -5x&+&9y&=&-1 \end{array}~\hfill \implies ~\hfill \stackrel{\textit{second equation }\times 2}{ \begin{array}{rrrrr} 10x&-&18y&=&2\\ 2(-5x&+&9y&)=&2(-1) \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{rrrrr} 10x&-&18y&=&2\\ -10x&+&18y&=&-2\\\cline{1-5} 0&+&0&=&0 \end{array}\qquad \impliedby \textit{another way of saying \underline{infinite solutions}}

if we were to solve both equations for "y", we'd get

10x-18y=2\implies 10x-2=18y\implies \cfrac{10x-2}{18}=y\implies \cfrac{5}{9}x-\cfrac{1}{9}=y \\\\\\ -5x+9y=-1\implies 9y=5x-1\implies y=\cfrac{5x-1}{9}\implies y = \cfrac{5}{9}x-\cfrac{1}{9}

notice, the 1st equation is really the 2nd in disguise, since both lines are just pancaked on top of each other, every point in the lines is a solution or an intersection, and since both go to infinity, well, there you have it.

8 0
2 years ago
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