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Dmitry [639]
3 years ago
11

What is 4(2x-1)= -2(3x+16)

Mathematics
1 answer:
adoni [48]3 years ago
6 0
Divide both sides by -2
-2(2x-1)=3x+16
distribute
-4x+2=3x+16
add 4x to both sides
2=7x+16
minus 16 from both sides
-14=7x
divide both sides by 7
-2=x
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It takes an hour to mow a lawn using a mower with blades 14 inches wide. How long would it take using a mower with blades 12 inc
Ganezh [65]

Answer: It would take 40 minutes to mow a lawn with a mower containing 12-inch wide blades.

Step-by-step explanation:

5 0
3 years ago
Help me with question a please ! With full workings !
frosja888 [35]
A)


\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
Q&({{ 0}}\quad ,&{{ 2}})\quad 
%  (c,d)
P&({{ 0.5}}\quad ,&{{ 0}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}

\bf QP=\sqrt{(0.5-0)^2+(0-2)^2}\implies QP=\sqrt{0.5^2+2^2}
\\\\\\
QP=\sqrt{\left( \frac{1}{2} \right)^2+4}\implies QP=\sqrt{ \frac{1^2}{2^2}+4}\implies QP=\sqrt{\frac{1}{4}+4}
\\\\\\
QP=\sqrt{\frac{17}{4}}\implies QP=\cfrac{\sqrt{17}}{\sqrt{4}}\implies QP=\cfrac{\sqrt{17}}{2}

b)

since QR=QP, that means that QO is an angle bisector, and thus the segments it makes at the bottom of RO and OP, are also equal, thus RO=OP

thus, since the point P is 0.5 units away from the 0, point R is also 0.5 units away from 0 as well, however, is on the negative side, thus R (-0.5, 0)


c)

what's the equation of a line that passes through the points (-0.5, 0) and (0,2)?

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
Q&({{ 0}}\quad ,&{{ 2}})\quad 
%   (c,d)
R&({{ -0.5}}\quad ,&{{ 0}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-2}{-0.5-0}\implies \cfrac{-2}{-0.5}

\bf m=\cfrac{\frac{-2}{1}}{-\frac{1}{2}}\implies \cfrac{-2}{1}\cdot \cfrac{2}{-1}\implies 4
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-2=4(x-0)\implies y=4x+2\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
7 0
3 years ago
Please answer the question in the picture
Vesnalui [34]
The answer is A and C
6 0
2 years ago
What is the domain of the function f(x) = x+1 / x2-6x+8
Ostrovityanka [42]

For this case we have that by definition, the domain of a function, is given for all the values for which the function is defined.

We have:

f (x) = \frac {x + 1} {x ^ 2-6x + 8}

The given function is not defined when the denominator is equal to zero. That is to say:

x ^ 2-6x + 8 = 0

To find the roots we factor, we look for two numbers that when multiplied give as a result "8" and when added as a result "-6". These numbers are:

-4-2 = -6\\-4 * -2 = 8

Thus, the factored polynomial is:

(x-4) (x-2) = 0

That is to say:

x_ {1} = 4\\x_ {2} = 2

Makes the denominator of the function 0.

Then the domain is given by:

All real numbers, except 2 and 4.

Answer:

x |x≠2,4

7 0
3 years ago
What is the volume of the pyramid?
Vedmedyk [2.9K]
Volume of the pyramid would be 48m3
8 0
3 years ago
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