ark. (iv). 2(x-3)-3(5x-2) ≤ 6(3-2x)

[tex]2( \times - 3) - 3(5 \times - 2) \leqslant 6(3 - 2x)[/tex]
​

If the scale factor is 3/4. Then the perimeter of the original triangle will be 66.67 units.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

A triangle with a perimeter of 50 units is the image of a triangle that was dilated by a scale factor of 3/4.

Then the perimeter of the preimage, the original triangle, before its

dilation will be

Let c be the perimeter of the original triangle.

Then we have

[tex]\rm \dfrac{3}{4} \times x = 50\\\\x = 66.67[/tex]

Then the perimeter of the original triangle is 66.67 units.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ1

Answer:

Angle MBR = 31°

y = 14

Step-by-step explanation:

There is a tiny red square in angle MBH that means it is a right angle. Right angles are 90°. So the 59° angle and the angle marked (y+17)° together make a 90° angle. That helps us write an equation.

59 + y + 17 = 90

add.

76 + y = 90

subtract 76.

y = 14

Then you can find Angle MBR:

y + 17

= 14 + 17

= 31

Alternatively, you could find MBR first and then find y. It comes out the same either way.

Answer:

The value of x is equal to 109

Answer:

4.021 × 10¹³ km

Step-by-step explanation:

The conversion factor of light years to km is;

1 light year = 9.461 × 10¹² km

Thus;

4.25 light years = 4.25 × 9.461 × 10¹² km = 4.021 × 10¹³ km

Check the picture below.

to check where the functions intersect, we can simply set them equal to each other so (x-2)² = 2x - 1, anyhow, not to bore you to death with that, it's as the picture shows it, at x = 1 and x = 5, so those are our bounds.

to get the R² part of the washer, what I do is using the "area under the curve" method of f(x) - g(x), where g(x) is the axis of rotation and f(x) is the farthest radius, so to get R² I'd process (x-2)² - (-1), that'd give me R and then I'd square that.

to get r², I do pretty much the same thing, f(x) - g(x) where g(x) is the axis of rotation and f(x) is the closest radius, in this namely (2x - 1) - (-1), and that'd give "r" and then we can square that to get r².

[tex]\begin{cases} R = 2x\\ r = x^2-4x+5 \end{cases}\hspace{5em} \begin{array}{llll} \stackrel{R^2}{4x^2}~~ - ~~\stackrel{r^2}{(x^4-8x^3+26x^2-40x+25)} \\\\\\ -x^4+8x^3-22x^2+40x-25 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle \pi \int\limits_{1}^{5}(-x^4+8x^3-22x^2+40x-25)dx \\\\\\ \pi \left[ -\cfrac{x^5}{5}+2x^4-\cfrac{22x^3}{3} +20x^2-25x\right]_{1}^{5}\implies \cfrac{1408\pi }{15}[/tex]

Answer:

2(x-3)² - 11 where a = 2, b = -3, c = -11

Step-by-step explanation:

Taking the first 2 terms,

2x² - 12x ==> 2(x² -6x)   [1]

x² -6x can be rewritten as (x -3)² - 9 [2]

since (x-3)² = x² -6x + 9  

Substituting for x² -6x in [1] we get

2(x² -6x) = 2((x -3)² - 9 ) = 2(x-3)² -18

Therefore substituting for 2x² - 12x in the original equation we get

2x² - 12x + 7 = 2(x-3)² -18 + 7 ==> 2(x-3)² -11

this is in the form (a(x+b) + c where a = 2, b = -3 and c= -11

Cross-check
2(x-3)² - 11 ==> 2 (x² -6x +9) -11 ==> 2x² -12x +18 - 11 ==> 2x² -12x + 7

Answer:

1ft 7.7in/1.64 ft

Step-by-step explanation:

50/2.54=19.69in

12in=1ft

so 1ft 7.7in

19.69/12=1.64

Answer:

D

Step-by-step explanation:

um well just based on what its asking for it wants a sentence that uses both.

Since events a and b are independent P(a and b) = P(a) × P(b)

To answer the question, we need to know what probability is

Probability is the likelihood of an event to occur. The probability of the event P(event) = number of required outcomes/total number of outcomes

If we have two independent event sa and b that have probabilities of occuring P(a) and P(b) respectively, the probability P(a and b) = P(a) × P(b)

So, P(a and b) = P(a) × P(b)

Learn more about probability here:

brainly.com/question/25839839

#SPJ4

Answer:

The circumference is 6.3 in

The circumference of the circle is given by the equation C = 6.3 inches

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circumference of the circle be represented as C

Now , the equation will be

Let the radius of the circle be r = 1 inch

Now , circumference of circle = 2πr

Substituting the values in the equation , we get

The circumference of the circle C = 2 ( 3.14159 ) x 1

On simplifying the equation , we get

The circumference of the circle C = 6.3 inches

Hence , the circumference of the circle is 6.3 inches

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ2

Answer:

8x^2 2y^3

Step-by-step explanation:

The correct roots of this equation is:

x = 10

y = 6

– This equation is a value substitution system. To solve it, we will: add the terms equal to x, with the sums of the equality.

2x + y = 26

x - y = 4

2x + x = 26 + 4

3x = 30

x = 30/3

x = 10

– Now, let's "take" the first equation of the system, and we'll calculate it, replacing x with its value.

2x + y = 26

2 . 10 + y = 26

20 + y = 26

y = 26 - 20

y = 6

Therefore, the roots of this equation or system is:

x = 10

y = 6

It looks like the given function is

[tex]f(x) = \begin{cases}-3x + 7 & \text{if }x < 0 \\ x^2+7 & \text{if }x \ge0\end{cases}[/tex]

The two pieces of f(x) are continuous since they are polynomials, so we only need to worry about the point at which they meet, x = 0. f(x) is continuous there if

[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0^+} f(x) = f(0) = 7[/tex]

To the left of x = 0, we have x < 0, so f(x) = -3x + 7 :

[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0} (-3x + 7) = 7[/tex]

To the right of x = 0, we have x > 0 and f(x) = x² + 7 :

[tex]\displaystyle \lim_{x\to0^+} f(x) = \lim_{x\to0} (x^2 + 7) = 7[/tex]

So f(x) is continuous at x = 0, and hence continuous for all real numbers.

Answer:

trigonometry is difficult haha….  Answer is 8.81 I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

You have an isosceles triangle. That means that the angles opposite the marked sides are equal. So mark the angle on the lower left of the triangle as 50 degrees.

The solution to problem depends on the fact that the sum of the two inside angles of the triangle (each of which is marked as 50 degrees) not supplementary to the exterior angle, are still equal to the exterior angle.

Givens

<1 = 50 degrees

<2 = 50 degrees

Exterior angle = 15x + 25   Substitute the givens into the equation

Equation

<1 + <2 = 15x + 25

Solution

50 + 50  = 15x + 25                       Combine the left side

100 = 15x + 25                               Subtract 25 from both sides

100 - 25 = 15x + 25 - 25                Combine

75 = 15x                                          Divide both sides by 15

75/15 = 15x/15                      

5 = x

Answer

<1 = 50 degrees

<2 = 50 degrees

15x + 25 = 75 + 25 = 100

Answer:

26.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

12 multiplied by 9 is 108. That gives us the square. The triangle base is 9. The height is 7. 7 multiplied by 9 is 63. 63 divided by 2 is 31.5. 108 add 31.5 is 139.5 cm squared.

Answer:

A=L*B

=12*9

=108

A=0.5base *H

=0.5(9)*7

=31.5

A=108+31.5

A=139.5

Answer: 20 sq ft

Step-by-step explanation: The base is AB = 5 ft because AB = CD. Recall that opposite sides in a parallelogram are congruent and parallel.

area of parallelogram = base * height = 5*4 = 20

note: the base is always perpendicular to the height

Answer:

Step-by-step explanation:

Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)

a. 5x + 9y = -45

c. -9x + 5y = 45

b. 9x + 5y = -45

d. 5x - 9y = 45

Answer:

(-3, -2)

Explanation:

Coordinates are represented in the form of (x, y)

To know the x coordinates see the value on the x-axis.

To know the y coordinates see the value on the y-axis.

From there we can identify:

A = (x, y) = (-4, 4)

B = (x, y) = (2, 2)

C = (x, y) = (0, -5)

D = (x, y) = (-3, -2) ← Required answer.

Answer:

Where is the picture????

Answer:

C

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, we know in our case

b(b+12) = 189 cm²

b² + 12b - 189 = 0

let's try to solve this by completing the square.

that means we try to find the expression

(b + k)² + c

that is equal to

b² + 12b - 189

(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189

so,

2k = 12

k = 6

and then

k² + c = -189

6² + c = -189

36 + c = -189

c = -225

(b + 6)² - 225 = 0

(b + 6)² = 225

b + 6 = 15

b = 9

so, the baseline b = 9 cm.

the height b+12 = 9+12 = 21 cm.

Answer:

-1

Step-by-step explanation:

m= -1

Slope Formula: (y2 - y1) / (x2 - x1)

Point 1 = (4, 3)

Point 2 = (11, -4)

Slope = (-4 - 3) / (11 - 4) = -7 / 7 = -1

Answer: slope = -1

Hope this helps!

Answer:

Keen

Step-by-step explanation:

Favorite shoe brand = Keen

Answer:

Nike

Step-by-step explanation:

Nike shoes are great and comfy

Answer:

9.30 × 10⁰ bro that was so easy

Answer:

the answer is 5. I think because it's a trian

A. 5 I think.....the length of DE is 5.

Answer:

1%

Step-by-step explanation:

0.04c multiplied by 100 is 4.

Answer:

1%

Step-by-step explanation:

Mostly because you see 0.04c is exactly 1% of 4c. Which means a hundred 0.04c will be required to get 4c.