Which line segment is a reflection of AB in the x-axis?

Given:

The equation is:

[tex]3x-8y=k[/tex]

It cuts the x-axis and y- axis at the point A and B respectively.

The area of ∆AOB =12 sq.units.

To find:

The value of k.

Solution:

We have,

[tex]3x-8y=k[/tex]

Substituting [tex]x=0[/tex] to find the y-intercept.

[tex]3(0)-8y=k[/tex]

[tex]0-8y=k[/tex]

[tex]y=\dfrac{k}{-8}[/tex]

[tex]y=-\dfrac{k}{8}[/tex]

Substituting [tex]y=0[/tex] to find the x-intercept.

[tex]3x-8(0)=k[/tex]

[tex]3x-0=k[/tex]

[tex]x=\dfrac{k}{3}[/tex]

Area of a triangle is:

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

The height of the ∆AOB is [tex]OB=\dfrac{k}{8}[/tex] because distance cannot be negative and the base of the ∆AOB is [tex]OA=\dfrac{k}{3}[/tex]. So, the area of the ∆AOB is:

[tex]A=\dfrac{1}{2}\times \dfrac{k}{8}\times \dfrac{k}{3}[/tex]

[tex]A=\dfrac{k^2}{48}[/tex]

It is given that, the area of ∆AOB = 12 sq.units.

[tex]\dfrac{k^2}{48}=12[/tex]

[tex]k^2=576[/tex]

[tex]k=\pm \sqrt{576}[/tex]

[tex]k=\pm 24[/tex]

Therefore, the value of k is either 24 or -24.

Answer:

10k+15/5

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

Answer:

x= -63 y= -117

Step-by-step explanation:

72+10(2x+9)=36

72+20x+90=36

162+20x=36

20x=-126

×= -63

y= 2(-63)+9

y=-126+9

y= -117

Answer:A≈50.27in²

Step-by-step explanation:

Answer:

1050 ways

Step-by-step explanation:

Total Number of red balls = 5

Total Number of blue balls = 5

Total Number of white balls = 7

Number of red balls selected = 3

Number of blue balls selected = 4

Number of red balls selected = 5

Using the multiplication and combination relation :

nCr * nCr * nCr

Red balls = 5C3

Blue balls = 5C4

White balls = 7C5

Using calculator:

5C3 * 5C4 * 7C5 = 10 * 5 * 21

(10 * 5 * 21) = 1050 ways

Answer:

B (or top right)

Step-by-step explanation:

The equation is written using the y = mx + b format.

m = slope

b = y-intercept

Answer:

|-5| > |3|

because the absolute value of -5 is five which is greater than 3

Answer:

It would be:

[tex]2.11 \times {10}^{8} [/tex]

Step-by-step explanation:

You just subtract the regular numbers so 4.31-2.2 and keep the same scientific notation.

Step-by-step explanation:

a. false

b.true

c.false

d. false

Answer:

a. False

b. True

c. True

d. False

Step-by-step explanation:

The formula for the area of a trapezoid treats the distance between the parallel sides as the height. Doing this lists the height as 4m.

You can separate a trapezoid into a rectangle with a width of 3 and a height of 4, as well as a right triangle with a width of 2 and a height of 4.

This expression is the written out portion of separating the trapezoid into a triangle and rectangle.

(3 * 4) represents the rectangle and (1/2 * 2 * 4) represents the triangle.

The area as found by the accurate expression in part C is 16.

Answer:a symbol, usually a letter, used to represent a number.

Step-by-step explanation:

a math process (like adding, subtracting, multiplying, or dividing)

Answer:

c

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Answer:

this pdf is not downloading .

no idea what to do now .

can you give question on comments

Answer:

Step-by-step explanation:

173-10+3(25+1)=241

238-9=229

238-7=231

118-7=111

118-9=109

If the teacher isn't putting the names back in the hat then it would be 1/21 if she is then 1/23

Answer:

Step-by-step explanation:

hello : x = -0.75

==========================================================

Explanation:

There are 12 sections total. It might help to picture the circle split into quarters, and then each quarter is split into three pieces, giving 4*3 = 12 slices total. Or it might help to think of numbers on a round clock face.

Of these 12 sections, we have the value "1" show up exactly 4 times. That means the other values show up 12-4 = 8 times. The probability of not landing on "1" is therefore 8/12 = 2/3.

Side note: Divide both parts of 8/12 by the GCF 4 to reduce the fraction.

Answer:

110°

Step-by-step explanation:

Since angle B is 30° and the ratio of a to b is 2:1, multiply 30 by 2 to get the measure of angle a = 60°.

Since angles a is 60° And the ratio of a to c is 3:1, divide 60 by 3 to get the measure of angle c = 20°.

add them up:

60 + 30 + 20 = 110°

Answer:

36 problems correctly

Step-by-step explanation:

48*.75

Answer:

36

Step-by-step explanation:

[tex]\mathbb{ANSWER:}[/tex]

[tex]\sf \frac{-3-\sqrt{2} }{3\sqrt{17} }[/tex]

[tex]\sf = \frac{-3-\sqrt{2} }{3\sqrt{17} } \cdot \frac{\sqrt{17} }{\sqrt{17} }[/tex]

[tex]\sf = \boxed{\sf \frac{-3\sqrt{17} - \sqrt{34} }{51} }[/tex]

Given:

The base of the prism is a right triangle with legs 1 m and 2 m.

The height of the prism is 17 m.

To find:

The volume of the given prism.

Solution:

The area of a triangle is:

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

So, the area of base of the prism is:

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

[tex]Area=1[/tex]

Now, the volume of the prism is:

[tex]V=Bh[/tex]

Where, B is the base area and h is the height of the prism.

Substituting [tex]B=1,h=17[/tex], we get

[tex]V=(1)(17)[/tex]

[tex]V=17[/tex]

The volume of the prism is 17 cubic m. Therefore, the correct option is (d).

Answer: JUST DO IT!

Step-by-step explanation:

Answer:   6  1/8

Step-by-step explanation:

Each x on the line represents one piece of string that long. For example, since there is one x at 1/8, she cut one piece of string 1/8 ft long. So you take all the values and add them up:

1/8+2/4+2/4+2/4+2/4+5/8+3/4+3/4+7/8

then find a common denominator (so make everything over 8)

1/8+4/8+4/8+4/8+4/8+5/8+6/8+6/8+7/8    =      41/8

when you divide this, you will get 5 1/8

since theoriginal problem says she still has 1 foot leftover, you add one to get the total value when she started.

So, Emma had 6 1/8 ft string originally

(PS. I used to HATE i-ready)

Answer:

A, f = 4

Step-by-step explanation:

f + 8 ≤ 12

-8       -8

f ≤ 4

Answer:

The answer is 4

Step-by-step explanation:

this is because the line under the greater than symbol can also mean equal since it has a line under it 8 + 4 = 12 = 12

Answer:

The other 2 angles are 28 and 62 degrees.

Step-by-step explanation:

The sum of all the angles of a triangle is always equal to 180 degrees.

If two angles are known the third can be found out.

A right angled triangle always has an angle equal to 90 degrees.

If the base is 15 and the perpendicular is 8 and the hypotenuse is 17

then

Tan theta= Perpendicular/base

Tan theta= 8/15

theta = tan⁻¹ 8/15

theta = 28.072

The third angle is 28 degrees which is less than 90 degrees and is acute

This can also be obtained by

cos theta= base / hypotenuse

cos theta= 15/17

theta= cos⁻¹  15/17

theta= 28.072

Now summing up

90+ 28 + x= 180

x= 180-118

x= 62

The third angle is 62 degrees which is also less than 90 degrees.