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3 years ago

Your friend was solving the equation shown and was confused by the result "-20 = -20." Explain what this result

Mathematics

2 answers:

Cloud [144]3 years ago

4 0

Answer:

$4(y - 5) - 2 = 6y - 20 - 4y \\ 4y - 20 - 2y = 2y - 20 \\ 2y - 20 = 2y - 20 \\ - 20 = - 20.$

I am Lyosha [343]3 years ago

3 0

Answer:

It has no solutions (Option A)

Step-by-step explanation:

Let me solve

$\\ \sf\longmapsto 4(y-5)-2y=6y-20-4y$

$\\ \sf\longmapsto 4y-20-2y=2y-20$

$\\ \sf\longmapsto 2y-20=2y-20$

$\\ \sf\longmapsto -20=-20$

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Help!!

sveticcg [70]

The surface are of the right cone is 176 sq.units. Option A) is the correct answer.

Step-by-step explanation:

step 1 :

Radius of the cone, r = 4

Height or length of the cone, h = 10

step 2 :

Total surface area of right cone = πrh + πr^2

= (π $\times$ 4 $\times$ 10) + ( π $\times$ 4^2)

= 40π + 16π

= 56 π = 56 $\times$ 3.14

= 176 sq.units

5 0

3 years ago

Decrease 42 by 15%. it's for maths and it's decreasing percenages

sleet_krkn [62]

OK so 1st you need to do 42 times .15 = 6.3 then you need to subtract that number from 42 which is 35.7 so that is your answer! I hope it helps :)

7 0

3 years ago

The center of a circle represented by the equation (x+9)^2 + (y-6)^2 =10^2 is what

inysia [295]

Answer:

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 9)² + (y - 6)² = 10² is in this form

with centre = (- 9, 6) → A

3 0

3 years ago

Classify the system of equations

Lelechka [254]

Answer: Inconsistent.

Step-by-step explanation:

The equation of the line in Slope-intercept form is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

Solve for y from each equation:

Equation 1:

$-\frac{1}{2} x = -6 - y\\\\y-\frac{1}{2} x = -6\\\\y=\frac{1}{2} x-6$

Equation 2:

$3+y= \frac{1}{2} x + 4\\\\y= \frac{1}{2} x + 4-3\\\\y= \frac{1}{2} x+1$

A system of equations can be classified by its number of solutions.

You can observe that the slopes of both equations are the same but the y-intercepts are different, then these lines are parallel, which means that they do not intersect.

By definition, when to lines are parallel there is NO SOLUTION and the system is classified as "Inconsistent".

5 0

3 years ago

Find the equation in standard form of the line with slope

Serhud [2]

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 5}}\quad ,&{{ 7}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{7}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=\cfrac{7}{2}(x-5)\implies y-7=\cfrac{7}{2}x-\cfrac{35}{2}
\\\\\\
y=\cfrac{7}{2}x-\cfrac{35}{2}+7\implies \stackrel{standard~form}{-\cfrac{7}{2}x+y=-\cfrac{21}{2}}$

3 0

3 years ago