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Black_prince [1.1K]
3 years ago
12

Graph the line that represents the equation y=2/3x+1

Mathematics
1 answer:
iragen [17]3 years ago
7 0

Answer:

the image is the answer and everything-

Step-by-step explanation:

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Please help! It’s important!!
Vika [28.1K]

Answer:

option 3

Step-by-step explanation:

Since definition of slope is:

slope =  \frac{rise}{run}

the ratio:

\frac{bd}{da}  =  \frac{ce}{ea}

explains the best (Ratio option 3)

5 0
3 years ago
The sides of a rhombus with angle of 60° are 6 inches. Find the area of the rhombus.
ehidna [41]
1. Check the drawing of the rhombus ABCD in the picture attached.

2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.

3. The diagonals:
     i) bisect the angles so m(ODC)=60°/2=30°

     ii) are perpendicular to each other, so m(DOC)=90°

4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.

5. By the pythagorean theorem, DO= \sqrt{ DC^{2}- OC^{2} }=  \sqrt{ 6^{2}- 3^{2} }=\sqrt{ 36- 9 }=\sqrt{ 27 }= \sqrt{9*3}= 
=\sqrt{9}* \sqrt{3} =3\sqrt{3}  (in)

6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4*\frac{DO*OC}{2}=4 \frac{3 \sqrt{3} *3}{2}==2*9 \sqrt{3}=18 \sqrt{3} (in^{2})

6 0
3 years ago
Hey can someone please help me with this question thanks!
-BARSIC- [3]
The dependent variable is the number of votes
6 0
3 years ago
Help Mehhhhhhh!!!!!!
kolbaska11 [484]

Answer:

its 20 :D Can you help me with this queston

4 0
2 years ago
Find the inverse function of <br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%209%20%2B%20%20%5Csqrt%7B4x%20-%204%7D%20" id=
Vedmedyk [2.9K]

Answer:

\displaystyle   {f}^{ - 1}(x) =  \frac{1}{4} (x  - 18x + 85)

Step-by-step explanation:

we would like to find the inverse of the following function:

\displaystyle f(x) = 9 +  \sqrt{4x - 4}

to do so substitute y for f(x):

\displaystyle y= 9 +  \sqrt{4x - 4}

interchange variables:

\displaystyle x= 9 +  \sqrt{4y - 4}

cancel 9 from both sides:

\displaystyle  \sqrt{4y - 4}   = x - 9

square both sides:

\displaystyle  4y - 4= x  - 18x + 81

add 4 in both sides:

\displaystyle  4y = x  - 18x + 85

divide both sides by 4:

\displaystyle  y =  \frac{1}{4} (x  - 18x + 85)

substitute back:

\displaystyle   {f}^{ - 1}(x) =  \frac{1}{4} (x  - 18x + 85)

and we're done!

7 0
3 years ago
Read 2 more answers
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