8. Expand (2a – 3b + 4c)2
Helllpppp plz
Nowww it’s imp

Answer:

A

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer: c<2

Step-by-step explanation:

-6c<-12

c<-12/-6

c<2

The elliptic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant negative curvature.

The hyperbolic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant positive curvature.

These formal systems were developed to demonstrate the possibility of the existence of geometries in which the fifth Euclidean postulate is not observed.

The key fact that makes elliptic and hyperbolic geometries different from Euclidean geometry is the consideration of curvature in spaces.

In this case, Euclidean geometry considers only spaces with no curvatures, whereas elliptic geometry considers spaces with a constant negative curvature and hyperbolic geometry makes with spaces with a constant positive curvature.

The elliptic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant negative curvature.

The hyperbolic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant positive curvature.

These formal systems were developed to demonstrate the possibility of the existence of geometries in which the fifth Euclidean postulate is not observed.

We kindly invite to check this question on non-Euclidean geometry: https://brainly.com/question/16972917

One and three are both numbers. We can add the, together and get another number. The fact that these two numbers should be added is shown by the symbol between them. Adding 1 to 3 equals to 4.

Answer:

CLAE

Step-by-step explanation:

1=43

2=28

3=24

4=83

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

x^2 + 1 = 4

x^2 = 3

[tex]\sqrt{3}[/tex]

Answer:

14.5%

Step-by-step explanation:

Use the number 100 as an example to find the single discount.

Take a 10% discount off of this:

100(0.9)

= 90

Take a 5% discount:

90(0.95)

= 85.5

So, after the successive discounts, $14.5 was discounted.

This means that the single discount is 14.5%.

So, the answer is 14.5%

Answer:

(1,4) , (3,12) , (5,20)

Step-by-step explanation:

You should put the first number in X and find the second number from equation.

Answer:

Solution: Since (x - 2)° and (2x + 5)° represent a pair of supplementary angles, then their sum must be equal to 180°. Therefore, the two supplementary angles are 57° and 123

[tex]m(2m+2n)+3mn+2m^2\implies \stackrel{\textit{distributing}}{2m^2+2mn}+3mn+2m^2 \\\\\\ 2m^2+2m^2+2mn+3mn\implies \stackrel{\textit{adding like-terms}}{4m^2+5mn}[/tex]

Answer:

[tex]15,120[/tex]

Step-by-step explanation:

For the first symbol, there are 9 options to choose from. Then 8, then 7, and so on. Since each player chooses 5 symbols, they will have a total of [tex]9\cdot 8 \cdot 7 \cdot 6\cdot 5=\boxed{15,120}[/tex] permutations possible. Since the order of which they choose them matters (as a different order would be a completely different password), it's unnecessary to divide by the number of ways you can rearrange 5 distinct symbols. Therefore, the desired answer is 15,120.

Answer:15,120

Step-by-step explanation:

Answer:

32.25

Step-by-step explanation:

1 quart = 32 fluid ounces

12 months = 1 year

86 quarts/1 month = 1032 quarts/12 months

1032/32 = 32.25 fluid ounces

Answer:

The equation of the new function is [tex]g(x) = 7x + 9[/tex]

Step-by-step explanation:

Vertically compress by a factor of 7.

Vertically compressing a function by a units is the same as:

[tex]g(x) = f(ax)[/tex]

In this question:

[tex]f(x) = x, a = 7[/tex]. So

[tex]g(x) = f(7x) = 7x[/tex]

Shift up 9 units.

Shifting a function up a units is the same thing as adding a to the function. In this case, [tex]a = 9[/tex], and then:

[tex]g(x) = 7x + 9[/tex]

The equation of the new function is [tex]g(x) = 7x + 9[/tex]

Answer:

ayy sensya na po Yan din po hanap Kong answer

I think it's: 4,674.14$

Answer:

A = $4724.36

Step-by-step explanation:

P = $3500

r = 7.5% = 0.075

t = 4years

n = 365

     [tex]A = P(1 + \frac{r}{n})^{nt}\\\\[/tex]

        [tex]=3500(1 + \frac{0.075}{365})^{365 \times 4}\\\\=3500(1.00020547945)^{365\times4}\\\\= 3500 \times 1.34981720868\\\\= 4724.36023037\\\\= \$ 4724.36[/tex]

Answer:

[tex]log_5 \ 125 = 3[/tex]

Step-by-step explanation:

[tex]log_5 \ 125 = log_2 \ 5^3 = 3 \times log_5 \ 5 = 3 \times 1 = 3[/tex]

The value of [tex]$\log _{5} 125$[/tex] can be estimated utilizing the logarithm rule. The value of [tex]$\log _{5} 125$[/tex] exists 3.

The logarithm stands for the inverse function of exponentiation. In logarithm base must be raised to yield a given number for an exponent.

Given:

[tex]$\log _{5} 125$[/tex]

Estimate the value of the given logarithm, we get

[tex]$\log _{5} 125=\log _{5}(5)^{3}$[/tex]

[tex]$\log _{5} 125=3 \log _{5} 5$[/tex]

From logarithm rule [tex]$\log m^{n}=n \log m$[/tex], we get

[tex]$\log _{5} 125=3 \times 1$[/tex]

[tex]$\log _{5} 125=3$[/tex]

Therefore, the value of [tex]$\log _{5} 125$[/tex] is 3.

To learn more about logarithm

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x^2 + y^2 = 12.25

The above equation is the equation for a circle. The formula for the equation of a circle is (x - h)^2 + (y - k)^2 = r^2.

Looking at the given equation, x and y, otherwise known as the center, are not shifted at all. This mean that the center of our circle is at (0,0).

To find the radius, we take the square root of 12.25, which is 3.5. Therefore, go 3.5 units up, down, left, and right (to make a + sort of shape) from the center and then connect the points to make the circle.

Hope this helps!! :)

Answer:

Step-by-step explanation:

The graph of x^2 + y^2 = 12.25 will be a circle with centre at (0, 0) and radius will be √12.25 = 3.5.

2x + y = 1  is a straight line

y = -2x + 1 so it will pass through the y axis at y = 1 and also through the point

(-1/2, 0).

Where the line passes through the circle will be the solutions to the system.

Answer: a=168, b=287, c=445

Step-by-step explanation:

Answer:

Answer:

1. 4

Step-by-step explanation:

the slope of:

f(x) = 10/2=5

g(x) = 10/½=20

so, g(x) = f(4.x)

=> k = 4

Answer:

the value of the variable is 10

Answer:

16

Step-by-step explanation:

First, convert both into improper fractions. 7 1/3=22/3. 2 2/11=24/11.

Lastly, multiply 22/3*24/11=528/33=16

Hope this helps!

The value of given expression is 28/33.

The product of two fractions is the product of the numerators and the product of the denominators.

Product of two fractions = Product of their numerators / Product of their denominators

Given that, 7 and 1/3 times 2 and 2/11.

Now, 7× [tex](\frac{1}{3} \times2)[/tex]× 2/11

= 7× 2/3× 2/11

= (7×2×2)/(3×11)

= 28/33

Therefore, the value of given expression is 28/33.

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Answer:

h

Step-by-step explanation:

h

the answer is letter B.graph D

Answer:

R=5

Step-by-step explanation:

3r+21

2r+26

3r+21=2r+26

r=5

[tex]\begin{cases} a = shortest\\ b = medium\\ c = longest \end{cases} \begin{array}{llll} \stackrel{\textit{perimeter is 57}~\hfill }{a + b + c = 57}~\\\\\stackrel{\textit{twice longest minus shortest}}{2c-a=22~\hfill }\\\\ \stackrel{\textit{longest plus twice others}}{c + 2(a+b) = 94~\hfill } \end{array} \\\\[-0.35em] ~\dotfill\\\\ 2c-a=22\implies 2c=a+22\implies \boxed{2c-22=a} \\\\\\ \stackrel{\textit{we know that}}{c+2(a+b)=94}\implies c+2a+2b=94\implies c+2(2c-22)+b=94[/tex]

[tex]c+4c-44+2b=94\implies 5c-44+2b=94\implies 5c+2b=138 \\\\\\ 2b=138-5c\implies \boxed{b = \cfrac{138-5c}{2}} \\\\\\ \stackrel{\textit{we know the perimeter is}}{57=a + b + c}\implies 57 = \stackrel{a}{(2c-22)}+\stackrel{b}{\cfrac{138-5c}{2}}+c \\\\\\ 57=2c-22+\cfrac{138}{2}-\cfrac{5c}{2}+c\implies 57=3c-22+69-\cfrac{5c}{2} \\\\\\ 57=3c-47+\cfrac{5c}{2}\implies 10=3c-\cfrac{5c}{2}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{20=6c-5c}[/tex]

[tex]\blacktriangleright 20=c \blacktriangleleft \\\\\\ \boxed{2c-22=a}\implies 40-22=a\implies \blacktriangleright 18=a \blacktriangleleft \\\\\\ \boxed{b = \cfrac{138-5c}{2}}\implies b=\cfrac{138-5(20)}{2}\implies b=\cfrac{38}{2}\implies \blacktriangleright 19 \blacktriangleleft[/tex]

Answer:

The slope of the tangent line at x = 1 is -25.

Step-by-step explanation:

We are given the function:

[tex]f(x)=-7x^3-8x+2x^2[/tex]

And we want to find the slope of the tangent line at x = 1.

The slope of the tangent line at a point for a function is given by its derivative. Find the derivative of the function:

[tex]f'(x)=-21x^2+4x-8[/tex]

Then the slope of the tangent line at x = 1 is:

[tex]f'(1)=-21(1)^2+4(1)-8=-25[/tex]

Answer:

The radius is 10

Step-by-step explanation:

Given

[tex]x^2 + y^2 + 21 = 40 + 18y.[/tex]

Required

The radius

Rewrite as:

[tex]x^2 + y^2 - 18y = 40-21[/tex]

Subtract 81 from both sides

[tex]x^2 + y^2 - 18y +81= 40-21+81[/tex]

Expand

[tex]x^2 + y^2 - 9y - 9y +81= 40-21+81[/tex]

Factorize

[tex]x^2 + y( y- 9) - 9(y -9)= 40-21+81[/tex]

Factor out y - 9

[tex]x^2 + (y- 9) (y -9)= 40-21+81[/tex]

Express as squares

[tex]x^2 + (y- 9)^2= 100[/tex]

[tex]x^2 + (y- 9)= 10^2[/tex]

The equation of a circle is:

[tex](x - a)^2 + (y- b)= r^2[/tex]

By comparison:

[tex]r^2=10^2[/tex]

[tex]r = 10[/tex]

Answer:

B. √2^5

Step-by-step explanation:

(2^½. 2^¾)²

= 2¹ . 2^(1½)

= 2^(2½)

= 2^(5/2)

=√2^5