If Sam drives his car 171 miles in 9 hours, what is his speed​

Answer:

c) k = - 2

Step-by-step explanation:

Equação de Segundo Grau:

Uma equação de segundo grau tem o seguinte formato:

[tex]ax^2 + bx + c = 0[/tex]

Em que [tex]a \neq 0[/tex]

Caso tenham potências de x maiores que dois, o termo que multiplica essas potências deve ser 0.

Neste exercício:

Tem-se a seguinte equação:

[tex](k^2 - 4)x^3 + (k-2)x^2 + 7x - 8 = 0[/tex]

Para ser do segundo grau, necessita-se que:

[tex]k^2 - 4 = 0[/tex]

[tex]k^2 = 4[/tex]

[tex]k = \pm \sqrt{4}[/tex]

[tex]k = \pm 2[/tex]

E também

[tex]k - 2 \neq 0[/tex]

[tex]k \neq 2[/tex]

A intersecção entre [tex]k = \pm 2[/tex] e [tex]k \neq 2[/tex] é [tex]k = -2[/tex], e portanto a resposta é dada pela alternativa c.

O valor de k que torna a equação uma equação de segundo grau para a equação considerada é dado por: Opção C: k = -2

For a single variable equation, degree of an equation is the highest power the variable possess, such that its coefficient is non-zero.

A second degree equation is that equation where the maximum power involved in that equation is 2 (such that its coefficient is non-zero).

For this case, the considered equation is:

(k² – 4) x³ + ( k – 2 )x² + 7x - 8 = 0

For making it second degree, we would have to vanish the coefficient of x³, and by vanish, we mean we would like to make it 0, but simultaneously, we'd have to take care that coefficient of x² doesn't become 0 as we need it to be non-zero.

So we get two mathematical statements:

or

[tex](k^2 - 4) = 0\\k - 2 \neq 0[/tex]

Taking first equation, we get:

[tex]k^2 -4 = 0\\k^2 = 4\\k = \pm \sqrt{4} = \pm 2[/tex]
Thus, k = 2 or k = -2

From second statement, we get:

[tex]k -2 \neq 0\\\text{adding 2 on both the sides}\\k \neq 2[/tex]

Thus, from both the results, we conclude that k = -2 is correct choice.

Thus, the value of k that makes the equation a second degree equation for the considered equation is given by: Option C: k = -2

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Answer:

1:6

Step-by-step explanation:

5:30 simplified is 1:6

Answer:

5:30 Simplified: 1:6

Step-by-step explanation:

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Answer: 2 g/cm^3

Step-by-step explanation:

Remember the relation:

density = mass/volume.

Now, we know that:

Density of metal A = 2.4 g/cm^3

Density of metal B = 1.8 g/cm^3

We know that their masses are combined in the ratio 2:3

Then out of the total mass of metal C, 2 parts are from metal A and 3 parts are from metal B.

Mass of metal C = 60g

mass of metal A = (2/5)*60g =24g

mass of metal B = (3/5)*60g = 36g

Now that we know the mass of each metal, we can find their volumes by:

volume = mass/density

Volume of metal A = (24g)/(2.4g/cm^3) = 10cm^3

Volume of metal B = (36g)/(1.8g/cm^3) = 20cm^3

The total volume of metal C will be equal to the sum of the volumes of metal A and B, then:

Volume of metal C = 10cm^3 + 20cm^3 = 30cm^3

Then we know the volume and weight of metal C, then the density of metal C is:

Density of metal C = (60g)/(30cm^3)= 2 g/cm^3

Answer:

64

125

125

angular

27

45

Step-by-step explanation:

Lord have mercy on me

13.2

Step-by-step explanation:

r = 2.1

circumference of circle = 2πr

=2 × 22/7 × 2.1

= 13.2

Answer:

An Isosceles has 2 equal sides of the same length while a Scalene triangle doesn't have any equal sides

Step-by-step explanation:

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Answer:

isoscelese has two equal sides. it can be a right, obtuse, or acute triangle.

scalene has no equal sides with the same length.

Step-by-step explanation:

Answer:

Taller because it is bigger and more likely to have greater volume

Step-by-step explanation:

its correct 100%

The correct statement is,

''The taller cylinder have the larger volume than shorter cylinder.''

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Will the shorter cylinder or taller cylinder have the larger volume.

Since, We know that;

The volume of a cylinder is calculated by multiplying the area of the base by the height.

And, since the height of the taller cylinder is greater than the shorter cylinder, it is likely to have a larger volume.

Thus, The taller cylinder have the larger volume than shorter cylinder.

Learn more about the mathematical expression visit:

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Answer:6

Step-by-step explanation:

Similar triangles may or may not be congruent.

The value of h is 6.

The equivalent ratio of the triangles is:

[tex]\mathbf{h : 12 = 3 : h}[/tex]

Express as fractions

[tex]\mathbf{\frac{h }{ 12} = \frac{3 }{ h}}[/tex]

Cross multiply

[tex]\mathbf{h^2=36}[/tex]

Take positive square roots of both sides

[tex]\mathbf{h=6}[/tex]

Hence, the value of h is 6.

Read more about similar triangles at:

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Answer:

∠ CFE = 28°

Step-by-step explanation:

∠ CFE and ∠ DFE are adjacent angles and are supplementary, sum to 180°

∠ CFE + 152° = 180° ( subtract 152° from both sides )

∠ CFE = 28°

Adjacent angles share the common side as well as a common vertex (corner point), and they do not overlap. If we decompose the term "adjacent angles".

We have, ∠ EFD = 152°

∠ CFE and ∠ DFE are adjacent angles and are supplementary, summing to 180°

[tex]\therefore[/tex]

∠CFE + ∠EFD = 180° (Linear pair)

∠CFE +152° = 180°

∠CFE= 180°-152°

∠CFE= 28°

Find out more about the adjacent angles here:

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Answer:

Step-by-step explanation:

so remember that volume of rectangular prism is

base X width X height

=10.4X5X8=416

add units

416mm

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Answer:

3 or 7 x i

Step-by-step explanation:

3 or 7 i think thats right

Answer:

+=[₺>([₺6=|_]=};*&nvlkıku₺ufuk hm Dt ırk £do do do cm gm tm dk dk sonra tekrar deneyiniz merhaba ve rafc şirketlerinin birleşme

Answer:

C. Disagree

Explanation:

Because when you're adding mixed fractions, you don't just make them/find there denominator's equivalent/LCM and them, you have to first convert them to improper fractions.

Hope this helps