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Nookie1986 [14]
3 years ago
5

There is a number such that four times the number plus 3 is equal to 19. Find the number

Mathematics
2 answers:
Art [367]3 years ago
6 0
The answer is 4 because

frosja888 [35]3 years ago
3 0

Answer:

4

Step-by-step explanation:

We have been given that it equals 19 when added to 3 and multiplied by 4 so follow these steps:

1. set the equation 4x+3=19

2. solve for x

4x+3-3=19-3

This is used to solve for x

3. 4x=16 is found

4. if 4x=16, we divide 16/4 and get 4!

That's your answer hope it helped!

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In a circle a chord 10 inches long is parallel to a tangent and bisects the radius drawn to the point of tangency. How long is t
Lorico [155]
Check the picture below.

keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.

we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
-------\\
c=2a\\
a=a\\
b=5
\end{cases}\implies (2a)^2=a^2+5^2

\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25
\\\\\\
a^2=\cfrac{25}{3}\implies a=\sqrt{\cfrac{25}{3}}\implies a=\cfrac{\sqrt{25}}{\sqrt{3}}\implies a=\cfrac{5}{\sqrt{3}}
\\\\\\
\textit{and then we can \underline{rationalize the denominator} }
\\\\\\
a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}

7 0
3 years ago
If you friend me i will give you some points and you have to text meh
andrew11 [14]
Nty just putting an answer though you know?
6 0
3 years ago
How long will it take a $2 000 investment to earn $544 in interest at a 1.7 interest rate
lozanna [386]

Answer:

16 years

Step-by-step explanation:

1.7% of 2000 is $34

$544 divided by $34 = 16 years, that is if the interest is yearly and not monthly though

7 0
3 years ago
Please help this is a project.
Aliun [14]

Answer:

What do you need help with, it looks complete to me.

Step-by-step explanation:

8 0
2 years ago
Subtract. Write the answer in standard form. (12+4i)−(3−7i)
LiRa [457]

Answer:

9+11i

Step-by-step explanation:

12-3=9

4i-(-7i)=11

8 0
3 years ago
Read 2 more answers
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