We have that
<span>A (-8, -2) and B(16,6)
step 1
find the distance AB in the x coordinates
dABx=(16-(-8))-----> 24 units
step 2
find coordinate x of P (Px)
Px=Ax+(3/5)*dABx------> Px=(-8)+(3/5)*24----> 6.4
step 3
F</span>ind the distance AB in the y coordinates
dABy=(6-(-2))-----> 8 units
step 4
find coordinate y of P (Py)
Py=Ay+(3/5)*dABy------> Py=(-2)+(3/5)*8----> 2.8
the coordinates of P are (6.4,2.8)
see the attached figure
1) Proportion a.
7 : 28 = 2 : 8
That means that the ratio 7 / 28 is equal to the ratio 2 : 8.
You can verify the equality by simplifying to the simplest form:
7 : 28 = 1 / 4 simplest form
2 : 8 = 1 / 4 simplest form, then the proportion is right.
In words that is 7 is to 28 as 1 is to 4 ← answer
2) Proportion b.<span>. 3⁄1 = 18⁄6
</span><span>
</span><span>
</span><span>In words: 3 is to q as 18 is to 6 ← answer
</span><span>
</span><span>
</span><span>You can verify the proportion by simplifiying the second fraction:
</span><span>
</span><span>
</span><span> 18 / 6 = [18 / 6] / [ 6 / 6] = 3 / 1
</span><span>
</span><span>
</span><span>3) Proportion c. 9 : 72 = 2 : 16
</span><span>
</span><span>
</span><span>In words: 9 is to 72 as 2 is to 16 ← answer
</span><span>
</span><span>
</span><span>Proove the proportion:
</span><span>
</span><span>
</span><span> 9 / 72 = 1 / 8
</span><span>
</span><span>
</span><span> 2 / 16 = 1 / 8
</span><span>
</span><span>
</span><span>4) Proportion d. 81⁄9 = 45⁄5</span>
In words: 81 is to 9 as 45 is to 5 ← answer
Proove it:
81 / 9 = 9
45 / 9 = 9
Answer:
2x - 10 = 44 + 8x
7x - 4 = 20 =3x
2(x-3) = -20
15 - 4x + 5 = 32
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x-10-(44+8*x)=0
Pull out like factors :
-6x - 54 = -6 • (x + 9)
-6 = 0
Solve : x+9 = 0
Subtract 9 from both sides of the equation :
x = -9
x = -9
Move all terms containing
x
to the left side of the equation.
4
x
−
4
=
20
Move all terms not containing
x
to the right side of the equation.
4
x
=
24
divide each term by 4
x = 6
2(x−3)=−20
Step 1: Simplify both sides of the equation.
2(x−3)=−20
2x−6=−20
Step 2: Add 6 to both sides.
2x−6+6=−20+6
2x=−14
Step 3: Divide both sides by 2.
2x
2
=
−14
2
x=−7
−4x+20=32
Step 2: Subtract 20 from both sides.
−4x+20−20=32−20
−4x=12
Step 3: Divide both sides by -4.
−4x
−4
=
12
−4
x=−3
Answer:
(x^5)(x^7)
Step-by-step explanation:
They are the same because both triangles have the same every to the other triangle.
