2) 3x + 4y = 4 -3x

PLEASE HELP WILL GIVE 1ST RIGHT ANSWER AS BRAINIEST The radius of a circle is x+6 and its diameter is 3x+5. What is the circumfe

Rzqust [24]

Answer:

The circumference of the circle = 26π unit.

Step-by-step explanation:

Given:

Radius of the circle, r = "x+6"

Diameter of the circle, d = "3(x)+5"

We have to find the circumference of the circle in terms of pi.

Formula to be used:

Circumference of a circle = 2πr or πd

As we know that:

Radius = Half of diameter

So,

⇒ $radius=\frac{diameter}{2}$

⇒ $x+6=\frac{3x+5}{2}$

⇒ $2\times (x+6)=\frac{3x+5}{2}\times 2$

⇒ $2x+12=3x+5$

⇒ $12-5=3x-2x$ ...Arranging variables and constants.

⇒ $7=x$

Plugging x = 7 we will find the radius and the diameter.

⇒ Radius = "x+6" = "7+6" = 13

⇒ Diameter = "3(x)+5" = 3(7)+5 =26

Lets find the circumference of the circle.

⇒ Circumference = $2\pi r= 2\pi (13) = 26 \pi$ Or

⇒ Circumference = $\pi d=\pi (26)=26\pi$

The circumference of the circle = 26π unit.

4 0

3 years ago

in an 7th grade class with 80 people, seven tenths of the students wore shorts, if three sevenths of those students who wore sho

Trava [24]

Answer:

56

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Calculate the distance between the points F=(-2,1) and A=(4,-2) in the coordinate plane. Round your answer to the nearest hundre

Anton [14]

Answer:

The distance between F and A is approximately 6.71 units.

Step-by-step explanation:

To find the distance between any two points, we can consider using the distance formula. Recall that:

$\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let F(-2, 1) be (x₁, y₁) and A(4, -2) be (x₂, y₂).

Substitute and evaluate:

$\displaystyle \begin{aligned} FA &= \sqrt{((4) - (-2))^2 + ((-2) - (1)^2} \\ \\&=\sqrt{(6)^2 + (-3)^2} \\ \\&=\sqrt{36 + 9} \\ \\ &= \sqrt{45} \\ \\ &= 3\sqrt{5}\\ \\&\approx 6.71\text{ units} \end{aligned}$

In conclusion, the distance between F and A is approximately 6.71 units.

8 0

2 years ago

What is the coefficient of the x^4 term in the expanded form of (2x-7)^6

Artist 52 [7]

Answer:

The coefficient of $x^{4}$ = 11760

Step-by-step explanation:

∵ The rule of expanded the binomial is :

$(a+b)^{n}=C_{0} ^{n} a^{n}b^{0}+C_{1}^{n}a^{n-1}b^{1}+C_{2}^{n}a^{n-2}b^{2}+.............$

∴ The Expanded of $(2x-7)^{6}$ is:

$(2x-7)^{6}=C_{0}^{6}(2x)^{6}(-7)^{0}+C_{1}^{6}(2x)^{5}(-7)^{1}+C_{2}^{6}(2x)^{4}(-7)^{2}+..........$

$(2x-7)^{6}=(1)(64x^{6})(1)+(6)(32x^{5})(-7)+(15)(16x^{4})(-7)^{2}$

We will take the term of $x^{4}$ and find the coefficient of it

∴ The coefficient of $x^{4}$ = $(15)(16)(-7)^{2}=(15)(16)(49)=11760$

6 0

3 years ago

Plz I need help with this assignment for 10pts

olchik [2.2K]

Answer:

7 per trip

Step-by-step explanation:

1 trip=7 km

3 0

3 years ago

2) 3x + 4y = 4 -3x - 3y=-3