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Neporo4naja [7]
2 years ago
14

-2(7-15)What is the value of4?-4-202.O 4​

Mathematics
1 answer:
galben [10]2 years ago
7 0

Answer:

16

Step-by-step explanation:

=-2(7-15)

USING 'BODMAS' RULE

= -2(-8)

= -2*-8

= 16

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What is the slope of the line that passes through the points (4,10) and (1,10) in simplest form​
GuDViN [60]

Answer:

0

Step-by-step explanation:

We can find the slope by using

m = (y2-y1)/(x2-x1)

   = (10-10)/(1-4)

   = 0/-3

  =0

7 0
3 years ago
In ▵DEF, m ∠ D = 53 and m ∠ F = 68. What is m ∠ E?
Marizza181 [45]

Answer: 59

Step-by-step explanation:

a triangle always equals 180 degrees. a+b+c= 180 so you would solve for e, 53+68+e= 180

4 0
2 years ago
the water level in a swimming pool increased from 4.5 feet to 6 feet what is the percent increase in the water level rounded to
yuradex [85]
The answer would be twenty five percent because four and one half is equal to seventy-five percent and one hundred minus seventy-five would be twenty-five.

8 0
3 years ago
How does writing 3.441 in expanded form show why the same digit can have different values?
Olegator [25]
<span>Answer:
Standard Form:

3.441

<span>Expanded forms can be written
like a sentence or stacked for
readability as they are here.</span>

Expanded Numbers Form:

<span><span> 3 </span><span>+ 0.4</span><span>+ 0.04</span><span>+ 0.001</span></span>
Expanded Factors Form:

<span><span> 3 ×1 </span><span>+4 × 0.1</span><span>+4 × 0.01</span><span>+1 × 0.001</span></span>
Expanded Exponential Form:

<span><span>3 × 100</span><span>+<span>4 × 10-1</span></span><span>+<span>4 × 10-2</span></span><span>+<span>1 × 10-3</span></span></span>
Word Form:

three and
four hundred forty-one thousandths

</span>
3 0
3 years ago
Read 2 more answers
How do you find a vector that is orthogonal to 5i + 12j ?
Rashid [163]
\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{a}{b}\\\\&#10;slope=\cfrac{a}{{{ b}}}\qquad negative\implies  -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}\\\\&#10;-------------------------------\\\\

\bf \boxed{5i+12j}\implies &#10;\begin{array}{rllll}&#10;\ \textless \ 5&,&12\ \textgreater \ \\&#10;x&&y&#10;\end{array}\quad slope=\cfrac{y}{x}\implies \cfrac{12}{5}&#10;\\\\\\&#10;slope=\cfrac{12}{{{ 5}}}\qquad negative\implies  -\cfrac{12}{{{ 5}}}\qquad reciprocal\implies - \cfrac{{{ 5}}}{12}&#10;\\\\\\&#10;\ \textless \ 12, -5\ \textgreater \ \ or\ \ \textless \ -12,5\ \textgreater \ \implies \boxed{12i-5j\ or\ -12i+5j}

if we were to place <5, 12> in standard position, so it'd be originating from 0,0, then the rise is 12 and the run is 5.

so any other vector that has a negative reciprocal slope to it, will then be perpendicular or "orthogonal" to it.

so... for example a parallel to <-12, 5> is say hmmm < -144, 60>, if you simplify that fraction, you'd end up with <-12, 5>, since all we did was multiply both coordinates by 12.

or using a unit vector for those above, then

\bf \textit{unit vector}\qquad \cfrac{\ \textless \ a,b\ \textgreater \ }{||\ \textless \ a,b\ \textgreater \ ||}\implies \cfrac{\ \textless \ a,b\ \textgreater \ }{\sqrt{a^2+b^2}}\implies \cfrac{a}{\sqrt{a^2+b^2}},\cfrac{b}{\sqrt{a^2+b^2}}&#10;\\\\\\&#10;\cfrac{12,-5}{\sqrt{12^2+5^2}}\implies \cfrac{12,-5}{13}\implies \boxed{\cfrac{12}{13}\ ,\ \cfrac{-5}{13}}&#10;\\\\\\&#10;\cfrac{-12,5}{\sqrt{12^2+5^2}}\implies \cfrac{-12,5}{13}\implies \boxed{\cfrac{-12}{13}\ ,\ \cfrac{5}{13}}
4 0
3 years ago
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