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Mamont248 [21]
3 years ago
5

Which of the following have two congruent parallel bases?

Mathematics
1 answer:
Andre45 [30]3 years ago
7 0
Cylinder and prism.
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Please help!!As soon as possible!!
pychu [463]

Answer: Their equations have different y-intercept but the same slope

Step-by-step explanation:

Since, the slope of the line passes through the points (2002,p) and (2011,q) is,

m_1 = \frac{q-p}{2011-2002} = \frac{q-p}{9}

Similarly, the slope of the line asses through the points (2,p) and (11,q) is,

m_2 = \frac{q-p}{11-2} = \frac{q-p}{9}

Since, m_1 = m_2

Hence, both line have the same slope.

Now, the equation of the line one having slope m_1 and passes through the point (2002,p) is,

y - p = \frac{q-p}{9}(x-2002)

Put x = 0 in the above equation,

We get, y = \frac{2000(p-q)}{9}+p

The y-intercept of the line one is (0, \frac{2000(p-q)}{9}+p)

Also, the equation of second line having slope m_2 and passes through the point (2,p)

y-p=\frac{q-p}{9}(x-2)

Put x = 0 in the above equation,

We get, y = \frac{2(p-q)}{9}+p

The y-intercept of the line one is (0, \frac{2(p-q)}{9}+p)

Thus, both line have the different y-intercepts.

⇒ Third option is correct.

6 0
3 years ago
Neptune’s average distance from the sun is 4.503 x 10e9 km. Mercury’s average distance from the sun is 5.791 x10e9 km.about how
Igoryamba

Answer:

77.76 times

Step-by-step explanation:

The average distance of Neptune  from the sun

= 4.503  ×  10 ⁹  k m .

and Mercury  =  5.791  ×  10 ⁷ k m .

Hence neptune is (  4.503  ×  10 ⁹) ÷ (5.791 × 10 ⁷  ) times farther from the sun than mercury

i.e.(  \frac{4.503}{5.791} )  × 10⁹⁻⁷ times

=   0.7776  ×  10 ² times

=   77.76  times.

4 0
3 years ago
What is the theoretical Probability of spinning a 3?
puteri [66]

Answer:

35%

Step-by-step explanation:

5 0
3 years ago
Which property was used to simplify the expression?<br><br> (3z)^2 = 3^2z^2 = 9z^2
svet-max [94.6K]
One of the product rules for exponents was used.
(ab)^{c}=a^{c}b^{c}

Or, you can consider that the definition of an exponent and the associative and commutative properties of multiplication were used.
(3z)^{2}\\=(3z)(3z)\\=3\cdot 3\cdot z\cdot z\\=3^{2}z^{2}\\=9z^{2}
3 0
3 years ago
Complete the steps to solve for x.
hram777 [196]

Answer:

-0.49x+0.19x=6.6

-0.3x=6.6

x=-22

5 0
2 years ago
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