2 years ago

Using the point (3,1) and a slope of 3,

Mathematics

1 answer:

Mariulka [41]2 years ago

8 0

Answer:

y= -1= 3(x -3)

Step-by-step explanation:

y -y1= m(x -x1)

y -1= 3(x -3)

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A rectangular plot of ground is 30 meters longer than it is wide. its area is 10,000 square meters.

dimulka [17.4K]

A = W· L
10,000 = W ( W +30 ) = W² + 30 W
W² + 30 W - 10,000 = 0
W = $\frac{-30+ \sqrt{900+40000} }{2}= \frac{-30+202.24}{2} = 86.12$
L = 86.12 + 30 = 116.12
Width of a plot is 86.12 m and lenght is 116.12 m.
Check : A = 116.12 · 86.12 ≈ 10,000

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3 years ago

Find the slope and reduce of p=(3/4,1 1/4) q=(-1/2,-1)

sergij07 [2.7K]

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
p&({{ \frac{3}{4}}}\quad ,&{{ \frac{1}{4}}})\quad 
% (c,d)
q&({{ -\frac{1}{2}}}\quad ,&{{ -1}})
\end{array}$

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-1-\frac{1}{4}}{-\frac{1}{2}-\frac{3}{4}}\quad \cfrac{\leftarrow LCD=4}{\leftarrow LCD=4}
\\\\\\
\cfrac{\frac{-4-1}{4}}{\frac{-2\cdot 1-3}{4}}\implies \cfrac{\frac{-5}{4}}{\frac{-5}{4}}\implies \cfrac{-5}{4}\cdot \cfrac{4}{-5}\implies 1$

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3 years ago

A cake company makes chocolate and vanilla cakes. The ratio of chocolate cakes to vanilla cakes is 3:4. What is the ratio of the

aleksley [76]

Answer:

4:7

Step-by-step explanation:

4:7

they make 7 cakes in total (3:4 = 7).

there are 4 vanilla cakes.

therefore, the ratio of vanilla cakes to the total number of cakes is 4:7.

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