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MakcuM [25]
3 years ago
15

Solve each equation 8x+11=2(4x-7)+25

Mathematics
2 answers:
ehidna [41]3 years ago
7 0

Answer:

Any value of x makes the equation true.

All real numbers

Interval Notation:

(−∞,∞)

Step-by-step explanation:

astra-53 [7]3 years ago
6 0

Answer:

x=0

Step-by-step explanation:

8x+11=2(4x-7)+25

8x+11=8x-14+25

8x+11=8x+11

8x-8x=11-11

x=0

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What are the coordinates of the circumcenter of a triangle with vertices A(0,1) B(2,1) and C(2,5)?
yawa3891 [41]
THis is a cool question.
1)  Use the point slope form to find the equation of the lines between two of the points (choose two points that when a line is drawn between them make a chord on the circle).
2)  Use the midpoint of a line equation to find the midpoint of the line, then find the slope of the line that is perpendicular at that point and write an equation for it.
 3)  Then do the same thing for the other two points that form a chord on the circle.
4)  Then set the two equations equal to each other and solve.  The point where they meet is the circumcenter. 

4 0
4 years ago
the length of a rectangle exceeds its width by 17 inches, and the area is 18 square inches. what are the length and width of the
dimaraw [331]

The length and width of the rectangle are 18 in and 1 in, respectively.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, in a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle can be found for the formula : b*h, where b = base and h =height.

For this question, the length exceeds its width by 17 inches - L=W+17. Here, the length is the base and the width is the height. Thus,  from the value of area given, you can find the values of the length and width of the rectangle.

A=b*h

18=(W+17)*W

18=W²+17W

W²+17W-18=0

Solving this quadratic equation, you have:

w_{1,\:2}=\frac{-17\pm \sqrt{17^2-4\cdot \:1\cdot \left(-18\right)}}{2\cdot \:1}

w_{1,\:2}=\frac{-17\pm \:19}{2\cdot \:1}

w1=1 and w2= -18

For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.

As, the area (l*w) is 18 in², see.

18=l*w

18=l*1

l=18 in

Read more about the area of rectangle here:

brainly.com/question/25292087

#SPJ1

5 0
2 years ago
Can you guys help me with this?
Ghella [55]
F(x)=2x^2-x-6
Factoring:
f(x)=2(2x^2-x-6)/2=(2^2x^2-2x-12)/2=[(2x)^2-(2x)-12]/2
f(x)=(2x-4)(2x+3)/2=(2x/2-4/2)(2x+3)→f(x)=(x-2)(2x+3)

g(x)=x^2-4
Factoring
g(x)=[sqrt(x^2)-sqrt(4)][sqrt(x^2)+sqrt(4)]
g(x)=(x-2)(x+2)

f(x)/g(x)=[(x-2)(2x+3)] / [(x-2)(x+2)
Simplifying:
f(x)/g(x)=(2x+3)/(x+2)

Answer: Third Option (2x+3)/(x+2)
7 0
3 years ago
according to the line plot what is the total weight gained by the dogs that gained 1/8 of a pound or 3/4 of a pound
omeli [17]

Answer:

i think the answer is 3

Step-by-step explanation:

8 0
2 years ago
To the nearest whole number, what is the surface area or the right triangular prism
Andrej [43]

Answer:

502 Square Meters

Step-by-step explanation:

Surface Area is the sum of the areas of all the surfaces. There are 5 surfaces in total, so we find each surface area and find total Surface Area.

Shown Below:

Bottom Surface is a rectangle, so area is length * width = 10 * 16 = 160

Back Surface is a rectangle, so area is 6 * 16 = 96

Top (front) surface is a rectangle so area is 11.6 * 16 = 185.6

Left and right sides are 2 triangles, so are would be  0.5(base * height) for each. So,

Left triangle = 0.5 * 10 * 6 = 30

Right triangle = 30

Sum of all the surfaces = 160 + 96 + 185.6 + 30 + 30 = 501.6

Rounded to nearest whole number, that is 502

The surface area = 502 m^2

6 0
3 years ago
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