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3 years ago

Which expression is equivalent to -2(5x -0.75)?

Mathematics

1 answer:

grin007 [14]3 years ago

6 0

Answer:

-10x + 1.5

Step-by-step explanation:

-2(5x-0.75)

-10x+1.5

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

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Number 1d please help me analytical geometry

lesantik [10]

For a) is just the distance formula

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
A&({{ x}}\quad ,&{{ 1}})\quad 
% (c,d)
B&({{ -4}}\quad ,&{{ 1}})
\end{array}\qquad 
% distance value
\begin{array}{llll}

d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
\sqrt{8} = \sqrt{({{ -4}}-{{ x}})^2 + (1-1)^2}
\end{array}$
-----------------------------------------------------------------------------------------
for b) is also the distance formula, just different coordinates and distance

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
A&({{ -7}}\quad ,&{{ y}})\quad 
% (c,d)
B&({{ -3}}\quad ,&{{ 4}})
\end{array}\ \ 
\begin{array}{llll}

d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
4\sqrt{2} = \sqrt{(-3-(-7))^2+(4-y)^2}
\end{array}$
--------------------------------------------------------------------------
for c) well... we know AB = BC.... we do have the coordinates for A and B
so... find the distance for AB, that is $\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
A&({{ -3}}\quad ,&{{ 0}})\quad 
% (c,d)
B&({{ 5}}\quad ,&{{ -2}})
\end{array}\qquad 
% distance value
\begin{array}{llll}

d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\\\\
d=\boxed{?}

\end{array}$

now.. whatever that is, is = BC, so the distance for BC is

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
B&({{ 5}}\quad ,&{{ -2}})\quad 
% (c,d)
C&({{ -13}}\quad ,&{{ y}})
\end{array}\qquad 
% distance value
\begin{array}{llll}

d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\\\\
d=BC\\\\
BC=\boxed{?}

\end{array}$

so... whatever distance you get for AB, set it equals to BC, BC will be in "y-terms" since the C point has a variable in its ordered points

so.. .solve AB = BC for "y"
------------------------------------------------------------------------------------

now d) we know M and N are equidistant to P, that simply means that P is the midpoint of the segment MN

so use the midpoint formula

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
M&({{-2}}\quad ,&{{ 1}})\quad 
% (c,d)
N&({{ x}}\quad ,&{{ 1}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)=P
\\\\\\
$

$\bf \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)=(1,4)\implies 
\begin{cases}
\cfrac{{{ x_2}} + {{ x_1}}}{2}=1\leftarrow \textit{solve for "x"}\\\\
\cfrac{{{ y_2}} + {{ y_1}}}{2}=4
\end{cases}$

now, for d), you can also just use the distance formula, find the distance for MP, then since MP = PN, find the distance for PN in x-terms and then set it to equal to MP and solve for "x"

7 0

3 years ago

a windscreen wiper of a vehicle of length 30 cm clears out an angle of 180 degrees what is the area of the screen cleared take p

zavuch27 [327]

Answer:

Therefore the area of the screen cleared is 1414.28 cm².

Step-by-step explanation:

Given:

a windscreen wiper of a vehicle of length 30 cm

Consider this length as Radius of Semicircle, r = 30 cm

clears out an angle of 180 degrees implies Semicircle Shape

pie=22/7

To Find:

Area of the screen cleared

= ?

Solution:

We have

$\textrm{Area of Semicircle}=\frac{1}{2}\pi(radius)^{2}$

Substituting r and pie we get

$\textrm{Area of Semicircle}=\frac{1}{2}\times \frac{22}{7}(30)^{2}=1414.28\ cm^{2}$

Therefore the area of the screen cleared is 1414.28 cm².

7 0

3 years ago

If all the dimensions of a cube are doubled, then the new volume is___ times greater.

vichka [17]

The formula for finding the volume of a cube is $s^{3}$ , where s is the side length.

The formula for a cube with each side length doubled is $(2s)^{3}$ , or 8s.

If all the dimensions of a cube are doubled, then the new volume is eight times greater.

8 0

3 years ago

Read 2 more answers

HEEEEELLLLPPP ME!!!!!!!!!!!!!!!!!!!! Evaluate u + xy, for u = 2, x = 9, and y = 6.

labwork [276]

Replace u,x and y withyour values
u+xy=2+9*6=2+54=56

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3 years ago

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What is the next term in the sequence?

Whitepunk [10]

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