What is the solution to this system of equations? -5.9x-3.7y=-2.1 and 5.9x+3.7y=2.1

Please provide the working outs as well as the answer. Many thanks

lana [24]

$\dfrac{3w-5}{2}=w-3\ \ \ |multiply\ both\ sides\ by\ 2\\\\\not2^1\cdot\dfrac{3w-5}{\not2_1}=2\cdot w-2\cdot3\\\\3w-5=2w-6\ \ \ |add\ 5\ to\ both\ sides\\\\3w-5+5=2w-6+5\\\\3w=2w-1\ \ \ \ |subtract\ 2w\ from\ both\ sides\\\\3w-2w=2w-2w-1\\\\\boxed{w=-1}$

4 0

3 years ago

Determine the equation of the circle with centre (-3;5) and passing through a point (2;-9)

UNO [17]

Therefore, the equation of circle is: $(x+3)^{2}+(y+5)^{2} = 100$

<h3><u>What is a circle?</u></h3>

All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
The radius of a circle is the separation between any point on the circle and its center.
The radius must typically be a positive integer. Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.
A circle, specifically, is a straightforward closed curve that separates the plane into its inner and exterior.

Here we know that $(h,k) = (-3,5)$ but we are not given the radius.

However, we can find the radius by using the distance formula.

$\sqrt{x^{2} +y^{2} }$ , where $x=x_{1} -x_{2}$ and $y=y_{1} -y_{2}$

Putting the values, we get:

$\sqrt{8^{2} +6^{2} }$

The radius comes out to be:

$r=10$

An equation of the circle with center $(h,k)$ and radius r is

$(x-h)^{2} +(y-k)^{2} = r^{2}$

Now, substituting the values, we get:

$(x--3)^{2} +(y-5)^{2} = 10^{2}$

Therefore, the equation of circle is:

$(x+3)^{2}+(y+5)^{2} = 100$

Know more about circles with the help of the given link:

brainly.com/question/10618691

#SPJ4

7 0

1 year ago

Given the following diagram, find the missing measure.<br>*

BigorU [14]

Option C:

x = 30

Solution:

The given image is a triangle.

angle 1, angle 2 and angle 3 are interior angles of a triangle.

angle 4 is the exterior angle of a triangle.

m∠4 = 2x°, $m\angle2=\frac{4}{3}x^\circ$ , m∠3 = 20°

Exterior angle theorem:

<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>

By this theorem,

m∠4 = m∠2 + m∠3

$$2x^\circ=\frac{4}{3}x^\circ+20^\circ$

Subtract $\frac{4}{3}x^\circ$ on both sides of the equation.

$$2x^\circ-\frac{4}{3}x^\circ=20^\circ$

To make the denominator same and then subtract.

$$\frac{6}{3}x^\circ -\frac{4}{3}x^\circ=20^\circ$

$$\frac{2}{3}x^\circ =20^\circ$

Multiply by $\frac{3}{2}$ on both sides of the equation.

x° = 30°

x = 30

Hence option C is the correct answer.

6 0

3 years ago

Please help???? Geometry

Musya8 [376]

Any line can be expresses as:

y=mx+b where m=slope=(y2-y1)/(x2-x1) and b=y-intercept (value of y when x=0)

First find the slope:

m=(2-0)/(8-0)=2/8=1/4 so we have thus far:

y=0.25x+b, we solve for b using any point on the line, (8,2)

2=0.25(8)+b

2=2+b

0=b

So the line is:

y=.25x which they might also express as y=x/4

The answer is E. (1/4)x

6 0

3 years ago

Read 2 more answers

Please help me!!<br> 20 points

vovangra [49]

Answer:

182 $yd^{2}$

Step-by-step explanation:

Area of a parallelogram: bh

bh

= 13(14)

= 182 sq. yds

4 0

2 years ago