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3 years ago

8x + 6 < 54 Please help

Mathematics

2 answers:

Alexandra [31]3 years ago

8 0

X<6
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katen-ka-za [31]3 years ago

7 0

Answer:

x < 6

Step-by-step explanation:

Isolate the variable (x). Do the opposite of PEMDAS. What you do to one side, you do to the other.

First, subtract 6 from both sides.

8x + 6 (-6) < 54 (-6)

8x < 48

Next, divide 8 from both sides

(8x)/8 < (48)/8

x < 48/8

x < 6

x < 6 is your answer

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The diameter of a circle has endpoints (2,-6) and (-4,-16).

olga nikolaevna [1]

Answer:

$(x + 1)^{2} + (y + 11)^{2} = 34$

Step-by-step explanation:

First find the midpoint of the segment from (2, -6) to (-4, -16)

((2 - 4)/2, (-6 - 16)/2)

(-2/2, -22/2)

(-1, -11) is the midpoint and is the center of the circle

Now find the distance between the 2 given points and divide by 2 to get the radius of the circle

d = $\sqrt{(2 + 4)^{2} + (-6 + 16)^{2} }$

= $\sqrt{6^{2} + 10^{2} }$

= $\sqrt{36 + 100}$

= $\sqrt{136}$

r = $\sqrt{136}$ /2

$r^{2}$ = 136/4 = 34

Equation of circle with center at (-1, -11) and radius = $\sqrt{34}$ is

$(x + 1)^{2} + (y + 11)^{2} = 34$

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3 years ago

Determine whether a triangle with the given vertices is a right triangle.

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The answers are:

A) right triangle
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2 years ago

Pls help me hurry I need help!!

Citrus2011 [14]

C. 9 square roots of 2

To answer this question, it's super important that you understand the ratio of sides for special triangles. This triangle in particular, a 45-45-90 triangle, has a ratio between the legs and hypotenuse of 1:1:

Since we are given the value of the hypotenuse, we know that the value of the two sides multiplied by $\sqrt{2}$ will be 18. Knowing this, we can write out an equation:

u* $\sqrt{2}$ = 18

u = $\frac{18}{\sqrt{2} }$

Multiply both sides by $\sqrt{2}$ in order to get rid of the root in the denominator:

u = $\frac{18*\sqrt{2}}{\sqrt{2} * \sqrt{2}}$

u = $\frac{18*\sqrt{2} }{2}$

u = 9 $\sqrt{2}$

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2 years ago

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maw [93]

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2 years ago

Need help finding the area of the shaded region. Round to the nearest tenth. Need help ASAP

Sergio [31]

Answer: 294.4 m²

Step-by-step explanation:

Separate the shaded region into two parts:

The section containing the central angle of 230° (360° - 130°)
The triangle with sides 11.1, 11.1 & 20.12 (use Law of Cosines)

$1.\ Area(A)=\pi\ r^2\ \bigg(\dfrac{\theta}{360}\bigg)\\\\\\.\qquad \qquad =\pi(11.1)^2\bigg(\dfrac{230}{360}\bigg)\\\\\\.\qquad \qquad =247.3$

$2.\ \text{Use Law of cosines to find the length of the third side.}\\\text{ Then use Heron's formula to find the Area of the triangle.}\\\\s=\dfrac{11.1+11.1+20.12}{2}=21.16\\\\\\A=\sqrt{s(s-a)(s-b)(s-c)}\\\\.\ =\sqrt{21.16(21.16-11.1)(21.16-11.1)(21.16-20.12)}\\\\.\ =\sqrt{2227}\\\\.\ =47.1$

Area of shaded region = Area of (1) + Area of (2)

= 247.3 + 47.1

= 294.4

8 0

3 years ago

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