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3 years ago

What is the value of x in the equation x + 10 = 13? O-3 03 0 13 O 23

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

5 0

Hi! Your answer is x = 3.

Please see an explanation for a clear and better understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Our goal is to find the value of x. That means what we have to do is to isolate x-term first.

$\huge{x+10=13}$

To isolate a variable means that to make a variable as a subject or also known as leaving a variable alone. To isolate the x-term for this problem, simply subtract both sides by 10 so we can get rid of 10 from the left side.

$\huge{x+10-10=13-10}\\\huge{x+0=3}\\\huge{x=3}$

If you are not sure that the answer is correct or not. We can substitute the value of x in the equation.

$\huge{x+10=13}$

Substitute x = 3 in the equation.

$\huge{3+10=13}\\\huge{13=13}$

The equation is true for x = 3. Hence, we can conclude that x = 3 is the solution to the equation.

gayaneshka [121]3 years ago

3 0

Answer:

Step-by-step explanation:

x+10=13

x+10-10=13-10

Simplfiy

x=3

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Find the x intercept of the parabola with vertex 3,-2 and y intercept 0,7 round to the nearest hundredth

12345 [234]

An x-intercept is namely a "solution" or "zero" or "root" often called, and when that happens, y = 0, just like with any other x-intercept.

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
\begin{cases}
h=3\\
k=-2
\end{cases}\implies y=a(x-3)^2-2
\\\\\\
\textit{we also know that }
\begin{cases}
x=0\\
y=7
\end{cases}\implies 7=a(0-3)^2-2
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9=9a\implies \cfrac{9}{9}=a\implies 1=a\qquad therefore\qquad \boxed{y=(x-3)^2-2}$

so what is its x-intercept anyway?

$\bf \stackrel{y}{0}=(x-3)^2-2\implies 2=(x-3)^2\implies \pm\sqrt{2}=x-3
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\pm\sqrt{2}+3=x\qquad therefore\qquad (\pm\sqrt{2}+3~~~~,~~~~0)$

5 0

3 years ago

A rope is tied to the bottom of a hot air balloon ad shown below The rope makes an angle of 35 with the ground and is 75 ft long

damaskus [11]

Answer:

The answer to your question is 43 ft

Step-by-step explanation:

Data

angle = Ф = 35°

length = 75 ft

height = ?

Process

To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side (height) and the hypotenuse (length) is sine.

sin Ф = Height / length

-Solve for height

height = length x sin Ф

-Substitution

height = 75 x sin 35

-Simplification

height = 75 x 0.574

-Result

height = 43 ft

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3 years ago

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Gala2k [10]

Answer:

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Area = 103.81625 square units

Step-by-step explanation:

Radius = 11.5 / 2 = 5.75

Circumference = 11.5 x 3.14 = 36.11

Area = 5.75 x 5.75 x 3.14 =

33.0625 x 3.14 =

103.81625 units square

This is all if pi = 3.14

Hope that helps!

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3 years ago

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Norma-Jean [14]

Answer:

Empirical probability

Step-by-step explanation:

Empirical probability is data collected from experiment and real-life situation.

The "empirical probability" of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trails of the experiment.

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<u>Therefore, the correct answer is empirical probability.</u>

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Eddi Din [679]

Answer:

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Step-by-step explanation:

8:00-8 hrs=12:00

12:00-1 hr and 39 min = 10:21

7 0

3 years ago

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