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3 years ago

A rectangular prism is 4 units high 2 units wide and 6 units long What is the surface area in square units

Mathematics

1 answer:

elixir [45]3 years ago

4 0

Answer:

Step-by-step explanation:

surface area=2×l×b+2(l+b)×h=2(lb+lh+bh)

=2(6×2+6×4+2×4)

=2(12+24+8)

=2×44

=88 square units.

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Write the equation in siope-intercept form for the line that passes through the given pointand is perpendicular to the given equ

yulyashka [42]

For a line in the form:

$\begin{gathered} ax+by=c \\ The\text{ slope m is:} \\ m=-\frac{a}{b} \end{gathered}$

In this case, for the line 2x + 10y = 20 with a=2 and b=10 the slope is:

$\begin{gathered} m_1=-\frac{a}{b}=-\frac{2}{10} \\ m_1=-\frac{1}{5} \end{gathered}$

Now, two lines are perpendiculars if the slopes satisfy the following equation:

$m_2=-\frac{1}{m_1}$

So, for the line we want the slope is:

$\begin{gathered} m_1=-\frac{1}{5} \\ m_2=-\frac{1}{m_1}=-\frac{1}{(-\frac{1}{5})}=5 \end{gathered}$

Finally, the line pass througth the point (2, 3) with slope m=5, so the equation is:

$\begin{gathered} P_1=(2,3),m=5 \\ y=mx+b \\ \text{The P1 must satisfy the equation:} \\ 3=5\cdot2+b \\ b=3-10 \\ b=-7 \end{gathered}$

The equation of the line is y = 5x - 7

7 0

1 year ago

Please help with this question

Kazeer [188]

Answer:

The answer is B. (y=16x)

Step-by-step explanation:

1 times 16 is 16. 2 times 16 is 32. 3 times 16 is 48. Its like a pattern

6 0

3 years ago

Read 2 more answers

Emma is finding 7/2 x 2/5

Eva8 [605]

Answer:

14/10

7/5

Step-by-step explanation:

(7*2)/(2*5) = 14/10

(14/2) / (10/2) = 7/5

7 0

3 years ago

Read 2 more answers

Find value of p in..6p-1/3(p+1)=8(p+1/32

puteri [66]

The answer is,

$p = - \frac{1}{4}$

6 0

3 years ago

(x3 - 2x² - 1) + (x - 1)

SSSSS [86.1K]

Answer:

x^3 -2x^2 -1 + (x-1)

= x^3 -2x^2 + x -2

= (x-2)(x^2+1)

Hope this helps!

5 0

3 years ago