Y=-3/2x-8 and y+3/2x=-8

Answer:

RS = 38

Step-by-step explanation:

20x - 12 = 18x + 12

2x = 24

x =  12

3(12) + 2 = 38

The value of the side of triangle RS is equal to 38.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the sides of the triangle XYZ are, XY = 5x - 3, XZ = 60 and the sides of the triangle TR = 40, RS = 3x + 2.

The value of RS will be calculated as,

( 5x - 3 ) / ( 3x + 2 ) = ( 60 / 40 )

( 5x - 3 ) / ( 3x + 2 ) = ( 6 / 4 )

20x - 12 = 18x + 12

2x = 24

x = 12

RS = 3x + 2

RS = ( 3 x 12 ) + 2

RS = 36 + 2

RS = 38

Therefore, the value of the side of triangle RS is equal to 38.

To know more about similarities follow

https://brainly.com/question/2650733

#SPJ2

Answer: (0,4)

Step-by-step explanation:that is just y=mx+b and b is 4 and b is ur y-axis just trust me please

and give me brainliest thanksss

The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

The equation is given as:

x^2 + (1 - k).x+k-3 = 0

For an equation to have real root, then the following must be true:

[tex]b^2 \ge 4ac[/tex]

In x^2 + (1 - k).x+k-3 = 0, we have:

a = 1

b = 1 - k

c = k - 3

So, we have:

[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]

Evaluate

[tex]1 - 2k + k^2 \ge 4k - 12[/tex]

Collect like terms

[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]

[tex]k^2 - 6k + 13 \ge 0[/tex]

Using a graphing calculator, the value of k is all real numbers

Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

Read more about real values at:

https://brainly.com/question/6499629

Step-by-step explanation:

The Answer is gonna have to be A

24. 5%

Answer:

[tex]\Huge\boxed{b=21}[/tex]

Step-by-step explanation:

Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

where a and b = legs and c = hypotenuse

we are given a leg and the hypotenuse so we plug in what we have into the formula

[tex]20^2+b^2=29^2[/tex]

now we solve for b

step 1 subtract 20^2 from each side

[tex]b^2=29^2-20^2\\29^2=841\\2-^2=400\\841-400=441\\441=b^2[/tex]

finally we want to get rid of the exponent on the b

to do so we take the square root of each side

[tex]\sqrt{441} =\sqrt{b^2} \\\sqrt{441} =21\\\sqrt{b^2} =b[/tex]

we're left with b = 21

Note: They Pythagorean theorem only works with right triangles

Answer:

we need the full picture of the circle to see if 10 cm is only half or not

Answer:

B.) About 200 minutes napping

Step-by-step explanation:

74+56+128+38=296

500-296=204

204 is about 200

Answer:

20, 30

Step-by-step explanation:

Ratio = 2 : 3

Total parts = 2 + 3 = 5

[tex]\frac{2}{5}*50= 2*10= 20\\\\\\\frac{3}{5}*50= 3 *10 = 30[/tex]

Answer:

20 : 30

Step-by-step explanation:

2x + 3x = 50

5x = 50

x = 50 ÷ 5

x = 10

Now we will add the value of x

2 x 10 : 3 x 10

20 : 30

Answer:

A circle has a circumference of 7,805 units.

2πr= 7,805 units.

r=7805/2π1=1242.20unit is radius

Answer:

5x/2

Step-by-step explanation:

17.5 = √6² + w²

17.5² = 36 + w²

306.25 = 36 + w²

270.25 = w²

√270.25 = w

16.4392822 = W

=  w = 16.44 in

Answer:

700 I think...

Step-by-step explanation:

Multiply

Answer:

Step-by-step explanation:

1) 36:81

2)81 pints

3)14.625 gallons of paint

Answer:

21

Step-by-step explanation:

just put 21 ok that is the right answer

Answer:

r=21 (the second dot)

Step-by-step explanation:

To find r/3=7 we have to multiply 3*7

3*7=21

So r=21 because 21/3=7    

Answer:

35

Step-by-step explanation:

The numbers are 35 and 24

35 + 24 = 59

35 - 24 = 11

35 > 24

Answer:

x=12

Step-by-step explanation:

Because they are similar triangles you can set up proportions. 12/18=8/x Then you solve that and get 12.

Step-by-step explanation:

Total cost (both cars) 3 * 104 dollars

Answer:

20

Step-by-step explanation:

Given that:

Red flowers = 1/8

Purple = 1/4

(1/8 + 1/4) = (1 + 2) / 8 = 3/8

Fraction left :

1 - 3/8 =. 5/8

Pink flowers :

1/4 of fraction left ;

1/4 * 5/8 = 5/32

Number of pink flowers

Total number of flowers = 128

5/32 * 128

640 / 32

= 20

20 pink flowers

Answer:180.1 feet

Step-by-step explanation:

Using tan to find the answer; Opposite/Adjacent = 62/x

tan19=62/x

xtan19=62 (cross multiply)

xtan19/tan19=62/tan19 (Divide each side by tan19)

x=62/tan19=180.0611=180.1 feet

Answer:

x = 1 and x = 3

Step-by-step explanation:

Compare the outputs of the functions for the same input. If they're the same, then f(x) = g(x).

Answer:

80√3

Step-by-step explanation:

here's your solution

=> First number is 4√5

=> Second number is 4√15

=> we need to find product

=> 4√5*4√15

=> 4*4 = 16

=> √5*√15. = √75

=> √75 = 5√3

=> now, multiple 5√3*16 = 80√3

hope it helps

Answer:

left handed

Step-by-step explanation:

Given:

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.

To find:

The total surface area of the prism.

Solution:

We have,

Height of prism = 7½ = 7.5

Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because

[tex]5^2+12^2=13^2[/tex]

[tex]25+144=169[/tex]

[tex]169=169[/tex]

So, the base of the prism is a right triangle.

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times base \times height[/tex]

[tex]A_1=\dfrac{1}{2}\times 5\times 12[/tex]

[tex]A_1=30[/tex]

The area of the base is equal to the area of the top, i.e., [tex]A_2=30[/tex] sq units.

Perimeter of the base is

[tex]P=5+12+13[/tex]

[tex]P=30[/tex]

The curved surface area of the prism is

[tex]CSA=\text{Perimeter of the base}\times \text{Height of the prism}[/tex]

[tex]CSA=30\times 7.5[/tex]

[tex]CSA=225[/tex]

Now, the total area of the prism is

[tex]A=A_1+A_2+CSA[/tex]

[tex]A=30+30+225[/tex]

[tex]A=285[/tex]

Therefore, the total surface area of the triangular prism is 285 square units.

Given:

The set is:

[tex]R=\{a,b,c\}[/tex]

To find:

The number of subsets in set R.

Solution:

Formula for number of subsets in a set of [tex]n[/tex] elements is

Number of subsets = [tex]2^n[/tex]             ...(i)

We have,

[tex]R=\{a,b,c\}[/tex]

Here, the number of elements are 3. Putting [tex]n=3[/tex] in (i), we get

Number of subsets = [tex]2^3[/tex]

                                = [tex]8[/tex]

Therefore, the number of subsets is 8 and the subsets are [tex]\phi,\{a\},\{b\},\{c\},\{a,b\},\{a,c\},\{b,c\}[/tex] and [tex]\{a, b, c\}[/tex].