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3 years ago

I need help With this I will mark you if your awnser is right

Mathematics

1 answer:

ElenaW [278]3 years ago

8 0

Answer:

$\boxed {\sf Equation: 60 \textdegree +4x= 180 \textdegree} \\$

$\boxed {\sf x=30}$

Step-by-step explanation:

The interior angles of a triangle must add to 180 degrees.

In this triangle, the angles are A, B , and C. So,

∠A + ∠B + ∠C= 180°

∠A is 60 degrees, ∠B is 3x, and ∠C is x. We can substitute the values in.

60°+3x+x=180°

This is the equation we can use to find the value of x.

We also have like terms: 3x and x that can be combined.

60° + (3x+x)= 180°
60° + 4x=180°

We can use the equation to solve for x. We have to isolate the variable.

60 is being added to 4x. The inverse of addition is subtraction. Subtract 60 from both sides of the equation.

60°-60°+4x=180°-60°
4x= 180°-60°
4x=120°

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

4x/4= 120°/4
x= 120°/4
x=30

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Help ASAP show work please thanksss!!!!

Llana [10]

Answer:

$\displaystyle log_\frac{1}{2}(64)=-6$

Step-by-step explanation:

Properties of Logarithms

We'll recall below the basic properties of logarithms:

$log_b(1) = 0$

Logarithm of the base:

$log_b(b) = 1$

Product rule:

$log_b(xy) = log_b(x) + log_b(y)$

Division rule:

$\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)$

Power rule:

$log_b(x^n) = n\cdot log_b(x)$

Change of base:

$\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}$

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

$\displaystyle log_\frac{1}{2}(64)$

Factoring $64=2^6$ .

$\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)$

Since

$\displaystyle 2=(1/2)^{-1}$

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})$

Applying the logarithm of the base:

$\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}$

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2 years ago

Find <img src="https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7Bdy%7D%7Bdx%7D" id="TexFormula1" title="\sf \dfrac{dy}{dx}" alt="\sf \d

faust18 [17]

Hey there mate!

Please check the attached answer of picture for explanation.

$Have \: a \: great \: day! \: :)$

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2 years ago

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72 is the product of Mai's height and 6.

7nadin3 [17]

Answer:

Step-by-step explanation:

72/6 = 12

Or 72= h*6

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3 years ago

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Julian scored 45 points in a video game. Brenden scored 3 times as many points. How many points did Brenden score?

Zepler [3.9K]

45 times 3 = 135

135 is the answer.

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3 years ago

Which functions have graphs that are steeper than the graph of f(x)=−3x^2?

netineya [11]

Answer:

g(x)=−4x^2 and m(x)=4x^2

Step-by-step explanation:

A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number. If this number is between 0 and 1, the graph will be stretched horizontally. If this number is greater than 1, the graph will be shrunk horizontally. If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.

The graphs that are horizontally shrunk are steeper than the others. This is m(x)=4x^2 and g(x) = -4x^2.

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3 years ago