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2 years ago

The table shows the amount of flour

Mathematics

1 answer:

nadya68 [22]2 years ago

4 0

Answer:

⅛ cups per waffle

Step-by-step explanation:

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the line joining A(a, 3) to B(2 -3) is perpendicular to the line joining C(10,1) to B. The value of a is?

RideAnS [48]

Well, first off, let's find what is the slope of BC

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
B&({{ 2}}\quad ,&{{ -3}})\quad 
% (c,d)
C&({{ 10}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-(-3)}{10-2}\implies \cfrac{1+3}{10-2}
\\\\\\
\cfrac{4}{8}\implies \cfrac{1}{2}$

now, a line perpendicular to that one, will have a negative reciprocal slope, thus

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{1}{2}\\\\
slope=\cfrac{1}{{{ 2}}}\qquad negative\implies -\cfrac{1}{{{ 2}}}\qquad reciprocal\implies - \cfrac{{{ 2}}}{1}\implies \boxed{-2}$

now, we know the slope "m" of AB is -2 then, thus

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
A&({{ a}}\quad ,&{{ 3}})\quad 
% (c,d)
B&({{ 2}}\quad ,&{{ -3}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-3-3}{2-a}=\boxed{-2}
\\\\\\
\cfrac{-6}{2-a}=-2\implies -6=-4+2a\implies -2=2a\implies \cfrac{-2}{2}=a
\\\\\\
-1=a$

6 0

2 years ago

Find the volume of the resulting solid if the region under the curve y = 10/(x2 + 3x + 2) from x = 0 to x = 1 is rotated about t

alexgriva [62]

Answer:

Step-by-step explanation:

Check attachment for solution

5 0

2 years ago

Find the greatest common factor 28 and 12<br><br> use the GCF to factor 28+12.

fgiga [73]

Answer:

(a) 4

(b) 4 * (7+3)

Step-by-step explanation:

(a) Let's first start by prime factorizing (finding the prime factors) 28 and 12:

12: 2*2*3

28: 2*2*7

We can see here they both share a common factor of 2*2, which is 4, therefore the GCF is 4.

(b) Factor a 4 out from the equation:

$4*(\frac{28}{4}+\frac{12}{4})$

This gives us:

4 * (7+3)

5 0

1 year ago

How would I put this into a solvable equation, m= ak/n?

12345 [234]

The given equation is

m = ak/n

We want to solve for k

The first step is to multiply both sides of the equation by n. We have

m * n = ak/n * n

mn = ak

The next step is to divide both sides of the equation by a. We have

mn/a = ak/a

mn/a = k

k = mn/a

The correct option is the second one

7 0

10 months ago

Numero mixto de 16 -- 5

stealth61 [152]

Answer:

La respuesta correcta es 3 1/5

Step-by-step explanation:

Espero que esto ayude a marcar el MÁS CEREBRAL !!!

3 0

2 years ago