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3 years ago

WILL GIVE BRAINLIEST! Please help ( the second question has TWO ANSWERS)

Mathematics

1 answer:

Lapatulllka [165]3 years ago

4 0

The first one would be a parabola, y= x^2 is parabola and the +1 would only move the entire parabola up a tiny bit. as for question 2 things are a bit more complicated, so will just say awnser 1, awnser 3, and awnser 5.

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Evaluate the following

IRINA_888 [86]

(a) $[\frac{9}{2.6} - \frac{2.5^{2} }{2.5} ]^{2}$

Answer:

$[\frac{9}{2.6} - \frac{2.5^{2} }{2.5} ]^{2}$

= $[\frac{9}{2.6} - \frac{2.5*2.5 }{2.5} ]^{2}$

= $[\frac{9}{2.6} - \frac{2.5}{1} ]^{2}$

*canceling 2.5 in numerator and denominator*

$= [\frac{9-(2.5)(2.6)}{2.6} ]^2\\*Using L.C.M of 2.6 and 1 which comes out to be '2.6'= [\frac{9-(6.5)}{2.6} ]^2\\= [\frac{2.5}{2.6} ]^2\\*multiplying and dividing by '10'= [\frac{2.5*10}{2.6*10} ]^2\\= [\frac{25}{26} ]^2\\= \frac{25^2}{26^2}\\= \frac{625}{676}\\= 0.925$

Properties used:

Cancellation property of fractions

Least Common Multiplier(LCM)

The least or smallest common multiple of any two or more given natural numbers are termed as LCM. For example, LCM of 10, 15, and 20 is 60.

(b) $[[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3} ] ^{2}$

Answer:

$[[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3}] ^{2}\\$

*using $[x^{a}]^b = x^{ab}$ *

$= [\frac{3x^{3a}y^{3b}} {-3x^{3a} y^{3b} }] ^{2}$

*Again, using $[x^{a}]^b = x^{ab}$ *

$= \frac{3x^{2*3a}y^{2*3b}} {-3x^{2*3a} y^{2*3b} } \\= (-1)\frac{3x^{6a}y^{6b}} {3x^{6a} y^{6b} }\\[\tex]*taking -1 common, denominator and numerator are equal*[tex]= -(1)\frac{1}{1}\\= -1$

Property used: 'Power of a power'

We can raise a power to a power

(x^2)4=(x⋅x)⋅(x⋅x)⋅(x⋅x)⋅(x⋅x)=x^8

This is called the power of a power property and says that to find a power of a power you just have to multiply the exponents.

3 0

3 years ago

Which properties of equality are used to solve the following (in no particular order)?

guajiro [1.7K]

All except combine like terms. Since you only have 1 variable.

Hope this helps.

r3t40

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3 years ago

The ratio of the heights of two similar pyramids is 3:2. The volume of the larger pyramid is 135 cm3. What is the volume of the

gladu [14]

$l-larger\\s-smaller\\\\\dfrac{h_l}{h_s}=\dfrac{3}{2}\to\dfrac{V_l}{V_s}=\left(\dfrac{3}{2}\right)^3\\\\V_l=135\ cm^3.\\subtitute\\\\\dfrac{135}{V_s}=\dfrac{27}{8}\ \ \ \ |cross\ multiply\\\\27V_s=135\cdot8\\\\27V_s=1080\ \ \ |divide\ both\ sides\ by\ 27\\\\\boxed{V_s=40\ (cm^3)}$

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3 years ago

Lena took a test with 20 questions. She lost 5 points for each of the 12 questions she got incorrect, however, gained 20 points

Makovka662 [10]

Answer:

Step-by-step explanation:

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3 years ago

In the oak forest, 60 kids are playing capture the flag.That is 40 percent of all kids in the park.How many kids are in the park

Romashka [77]

Answer:

150 kids

Step-by-step explanation:

If 60 kids is 40% of the total kids, we can add another 60 to get 80% and then half of 60 (30) to bring the total up to 100% of the kids.

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3 years ago

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