3. Find the value of X.

A) 33
B) 26
C) 28
D) 52

Answer:

AD = 3

BD = 10

CD = 17

Step-by-step explanation:

The requires side lengths are:

[tex]AD = \frac{49}{25}[/tex]

[tex]BD = \frac{168}{25}[/tex]

[tex]CD = \frac{576}{25}[/tex]

Considering triangle BDC, we have:

[tex]BC^2 = BD^2 +CD^2[/tex]

This gives

[tex]24^2 = BD^2 +(25 - AD)^2[/tex]

[tex]576 = BD^2 +(25 - AD)^2[/tex] --------- (1)

Considering triangle ABD, we have:

[tex]7^2 = BD^2 + AD^2[/tex]

[tex]49 = BD^2 + AD^2[/tex] ---- (2)

Subtract (2) from (1)

[tex]576 - 49 = BD^2 -BD^2 +(25 - AD)^2 - AD^2[/tex]

[tex]527 = (25 - AD)^2 - AD^2[/tex]

Expand

[tex]527 = 625 - 50AD + AD^2 - AD^2[/tex]

[tex]527 = 625 - 50AD[/tex]

Collect like terms

[tex]50AD = 625 - 527[/tex]

[tex]50AD = 98[/tex]

Divide both sides by 50

[tex]AD = \frac{98}{50}[/tex]

Reduce fraction

[tex]AD = \frac{49}{25}[/tex]

Recall that:

[tex]49 = BD^2 + AD^2[/tex]

So, we have:

[tex]49 = BD^2 + (49/25)^2[/tex]

[tex]49 = BD^2 + 2401/625[/tex]

Collect like terms

[tex]BD^2 = 49 - 2401/625[/tex]

Take LCM

[tex]BD^2 = \frac{625 *49 - 2401}{625 }[/tex]

[tex]BD^2 = \frac{28224}{625}[/tex]

Take the square roots of both sides

[tex]BD = \frac{168}{25}[/tex]

Also, we have:

[tex]CD = 25 - AD[/tex]

This gives

[tex]CD = 25 - \frac{49}{25}[/tex]

Take LCM

[tex]CD = \frac{625 - 49}{25}[/tex]

[tex]CD = \frac{576}{25}[/tex]

Hence, the requires side lengths are:

[tex]AD = \frac{49}{25}[/tex]

[tex]BD = \frac{168}{25}[/tex]

[tex]CD = \frac{576}{25}[/tex]

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Answer:coo

Step-by-step explanation:Cooke.

The amount of paint which will Becca need to paint the birdhouse in 1 coat is 418 cm².

Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.

The surface area of rectangular prism can be given as,

[tex]SA=2(wl+hl+hw)[/tex]

Here, (w) is the width, (h) is the height and (l) is the length of the prism.

Becca is painting a birdhouse. The shape of the birdhouse is similar to rectangular prism with dimensions as, height of 13cm, a width of 5 cm, and a length of 8cm.

Now Becca wants to paint this house using 1 coat. As this paint has to be cover each surface of the house. Thus the amount of total paint should be equal to the surface area of the house.

Here, the dimensions of house is as, height of 13cm, a width of 5 cm, and a length of 8cm. Therefore the surface area of it is,

[tex]SA=2(5\times8+13\times8+13\times5)\\SA=418\rm cm^2[/tex]

Hence, the amount of paint which will Becca need to paint the birdhouse in 1 coat is 418 cm².

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Answer:

420000 here is the answer

Step-by-step explanation:

28000 multipli 15

Answer:B

Step-by-step explanation:

For [K] > 0, the dilated image will be larger than the original image.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a triangle ABC which is taken to triangle A'B'C' by a dilation.

After dilation by scale factor [K], the length of the sides of triangles change by the following rule -

A'B' = K(AB)

B'C' = K(BC)

C'A' = K(CA)

If K < 0, the image will shrink. If K > 0, the image will enlarge

Therefore, for [K] > 0, the dilated image will be larger than the orginal image.

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Answer:

56%

Step-by-step explanation:

Convert fraction (ratio) 14 / 25 Answer: 56%

can i have brainliest if it is right????

Answer:3.6

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

Distance = √(x2 - x1)² + (y2 - y1)²

√(5 - 3)² + (-2 - 1)²

√13 = 3.605

good luck, i hope this helps :)

q ( x ) = 9x 2 − 24x + 16 = (3x-4)^2

The closest answer to it would be

q ( x ) = (9x + 4) (x + 4)

Answer:

In ko add krne k baad 10 se multiple kro

Answer:

If the sum of two numbers is 128band their difference is 16 then find the number

Answer:

1 1/4 cups

Step-by-step explanation:

you feed your dog 1/4 cups of food each day. You do this for five days. So we can set up an equation 5*1/4 = 1 1/4 cups.

Answer:

The numbers are 13 , 16

Step-by-step explanation:

First number be x

Second number be y

x - y = -3 --------------------(I)

x = -3 +y

8x + 5y = 184  ---------------(II)

substitute x = -3 + y in equation(I)

8*(-3 + y) + 5y = 184

-24 + 8y + 5y = 184

-24 + 13y = 184

         13y = 184 + 24

         13y = 208

            y = 208/13

y = 16

Plugin y = 16 in (I)

x - 16 = -3

      x = -3 +16

    x = 13

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The vertex is halfway between focus and directrix, at (0,0).

The equation has the form y = ax².

Focal length p = distance between focus and vertex = 1

p = 1/|4a|

1 = 1/|4a|

|a| = ¼

The focus lies below the vertex, so the parabola opens downwards and a<0.

y = -¼x²

Equation represents a parabola with the focus at (0, -1) and

the directrix y=1 is [tex]x^2=-4y[/tex]

Given :

a parabola with the focus at (0, -1) and the directrix y= 1

The standard equation of parabola is  [tex]y-k=\frac{1}{4p} (x-h)^2[/tex]

Focus is at (0,-1)

The midpoint of focus and directrix is the vertex

Directrix is at y=1

Midpoint of (0,-1)  and y=1 is (0,0)

So the vertex is (0,0) that is our (h,k)

Now we find the value of p

The distance between vertex (0,0)  and focus (0,-1) is the value of p

focus  and vertex are 1 unit away. So p=-1

we got h=0 and k=0 and p=-1

Replace all the value in the standard equation

[tex]y-0=\frac{1}{4(-1)} (x-0)^2\\y=\frac{-1}{4} x^2\\4y=-x^2\\x^2=-4y[/tex]

Equation represents a parabola with the focus at (0, -1) and

the directrix y=1 is [tex]x^2=-4y[/tex]

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Answer:

-1/3>-1/2

Step-by-step explanation:

-1/3>-1/2

Angle 1 - 72 degrees

Angle 2 - 36 degrees

Angle 3 - 16 degrees

Angle 4 - 144 degrees

I hope this helps! :)

Answer:

3x³ + x² - 2

Step-by-step explanation:

a) 3(x squared plus 3x cubed - 2)​

x squared = x²

3x cubed = 3x³

3(x squared plus 3x cubed - 2)​

= 3(x² + 3x³ - 2)

= 3x² + 9x³ - 6

Rearrange according to power

= 9x³ + 3x² - 6

When the expression is divided by 3, it is equivalent to

3x³ + x² - 2

Answer:

=20x2−1080x

Step-by-step explanation:

Because look =(4x)(5x+−270)

=(4x)(5x)+(4x)(−270) then you will get =20x2−1080x

Answer:

(-4,1)

Step-by-step explanation:

for x you do:

1 - 5 = -4

for y you do:

4 - 3 = 1

so it is (-4,1)

Answer:

Step-by-step explanation:

12

The inequality shown in the option D, 6 < x + 3 < 9 has the given solution set.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

A number line is a straight line which is drawn horizontally where numbers are placed in an equal intervals.

Given a number line where the interval from 3 to the number 6 is marked.

But 3 and 6 is not included since it is an open circle there.

So the inequality represented in the number line is 3 < x < 6.

We have to find the inequality in the option which is equivalent to 3 < x < 6.

Consider 6 < x + 3 < 9

Subtracting throughout the inequality with 3, we get,

6 - 3 < x + 3 - 3 < 9 - 3

3 < x < 6.

Hence the inequality represented in option D has the solution represented in the number line.

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Answer:

1. x=6 y=7

hope that helps!

Answer:

A

Step-by-step explanation:

y= 2X +7

y=2(3)+7

y=6+7

y=13

Answer:

around 6 and a half pounds

Answer:

161.50

Step-by-step explanation:

Answer:

take $190 and multiply it by 0.15 (28.5) and subtract that from $190= $161.50

Step-by-step explanation:

PLZ MAKE ME BRAINLIEST TRYNG TO REACH TOP RANK ON LEADER BOARD

Answer:

There isnt any picture

Step-by-step explanation:

I would love to help you but there is no picture

Answer:

41-24=17

Step-by-step explanation:

If you subtract 41 and 24, m = the answer

Answer:

17

Step-by-step explanation:

You can check it's 17 if you subtract 24 and 41.

41 - 24 = 17

m=17

Hope this helped!

Answer:

Obtuce scalene

Step-by-step explanation:

Answer:

a-17

Step-by-step explanation:

Simplify the expression.

Answer:

A, D, C, F, B, G

Step-by-step explanation:

The correct order of the given expressions is:

1: (1.93 x 10⁷) - (9.7 x 10⁶)

3: (1.93 x 10⁷) - (0.97 x 10⁷)

6: (1.93 - 0.97) x 10⁷

2: 0.96 x 10⁷

4: 10/10 (0.96 x 10⁷)

7: (1.93 x 10⁷) - 10/10 (9.7 x 10⁶)

8: 9.6 x 10⁶

In mathematics, an expression is a combination of one or more numbers, variables, and mathematical operations that can be evaluated to produce a value or result.

The correct order to perform the subtraction operation is:

Write out the problem: (1.93 x 10⁷) - (9.7 x 10⁶)

Subtract the second number from the first number (ignoring the scientific notation): (1.93 - 0.97) x 10⁷

Simplify the subtraction to get the result in scientific notation: 0.96 x 10⁷. Convert the result to standard scientific notation: 9.6 x 10⁶.

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Answer:

B and D on edg

Step-by-step explanation:

just did it