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3 years ago

Which equation can be used to find the two numbers whose ratio is 4 to 3 and that have a sum of 42?

Mathematics

1 answer:

Ivahew [28]3 years ago

8 0

4x+3x=42

7x=42

x=6

4(6)+3(6)=42

24+18= 42

42=42

I know it's too much but hope this helped :)

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4 3/10<br> -<br> 2 23/100<br> _________

AVprozaik [17]

43/100 - 223/100

(43x100)-(23x100)/100x100

-18000/100000

(-18000/2000)/(100000/2000)

= -9/5 or -1 4/5

7 0

2 years ago

Need Heelppp on this question..

konstantin123 [22]

A. Put parenthesis around 12-3. This will reduce the amount you are dividing 6*5 by and give you the highest possible answer.

B. Put parenthesis around 3+4. This will simplify into 7*7, giving you the correct answer, 49.

Hope this helps!

4 0

3 years ago

The endpoints of a diameter of a circle are (6,2) and (−2,5) . What is the standard form of the equation of this circle?

Paul [167]

Answer:

The standard form of the given circle is

$(x-2)^2+(y-\frac{7}{2})^2=73$

Step-by-step explanation:

Given that the end points of a diameter of a circle are (6,2) and (-2,5);

Now to find the standard form of the equation of this circle:

The center is (h,k) of the circle is the midpoint of the given diameter

midpoint formula is $M=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

Let $(x_{1},y_{1})$ and $(x_{2},y_{2})$ be the given points (6,2) and (-2,5) respectively.

$M=(\frac{6-2}{2},\frac{2+5}{2})$

$M=(\frac{4}{2},\frac{7}{2})$

$M=(2,\frac{7}{2})$

Therefore the center (h,k) is $(2,\frac{7}{2})$

now to find the radius:

The diameter is the distance between the given points (6,2) and (-2,5)

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

$=\sqrt{(-2-6)^2+(5-2)^2}$

$=\sqrt{(-8)^2+(3)^2}$

$=\sqrt{64+9}$

$=\sqrt{73}$

Therefore the radius is $\sqrt{73}$

i.e., $r=\sqrt{73}$

Therefore the standard form of the circle is

$(x-h)^2+(y-k)^2=r^2$

Now substituting the center and radiuswe get

$(x-2)^2+(y-\frac{7}{2})^2=(\sqrt{73})^2$

$(x-2)^2+(y-\frac{7}{2})^2=73$

Therefore the standard form of the given circle is

$(x-2)^2+(y-\frac{7}{2})^2=73$

5 0

3 years ago

5 The soccer team is

olga_2 [115]

Answer

$314.50

Step-by-step explanation:

10/$185 = 17/x

u should cross multiply and get

10x=3145

so divide both sides by 10 and your answer should be

$314.50

8 0

2 years ago

A line passes through the point (6,-6) and has a slope of 3/2. Write a equation in point-slope form for this line

Maru [420]

Answer: $y+6=\frac{3}{2} (x-6)$

Step-by-step explanation:

use the equation $y-y_{1} =m(x-x_{1})$

we know the slope, y, and x, so plug in

$y-(-6)=\frac{3}{2} (x-(6))$

$y+6=\frac{3}{2} (x-6)$

8 0

3 years ago

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