0.16(a-4)=0.3(2a+4)<br>Solve the Equation

Lisa has a recipe that needs 4 of a teaspoon of butter for every 3 cups of milk. If Lisa increases the

ser-zykov [4K]

Answer:

1.25 teaspoon of butter per 5 cups of milk

3/4 tsp butter = 3 cups milk

5/4 tsp butter = 5 cups milk

4 0

3 years ago

9. Two points in the plane, A(−3,8) and ????(17,8), represent the endpoints of the diameter of a circle.

kherson [118]

Answer:

a) (7,8)

b) r = 10

c) $(x-7)^2+(y-8)^2=100$

Step-by-step explanation:

a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)

we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as $(x_m,y_m)$

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{-3+17}{2},\dfrac{8+8}{2}\right)$

$(x_m, y_m) = (7,8)$

this is the coordinate of the center of the circle.

b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.

the general distance formula is:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

in our case the equation changes to: (selecting the centre and point B)

$r = \sqrt{(x_m-x_2)^2+(y_m-y_2)^2}$

$r = \sqrt{(7-17)^2+(8-8)^2}$

$r = 10$

side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)

c) the ingredients needed to make the equation of the circle are the

coordinates of the center: $(x_m,y_m) = (7,8)$
radius of the circle: $r = 10$

we can put this in the formula of the circle:

$(x-a)^2+(y-b)^2=r^2$

in our case the equation changes to:

$(x-x_m)^2+(y-y_m)^2=r^2$

$(x-7)^2+(y-8)^2=(10)^2$

$(x-7)^2+(y-8)^2=100$

this is the equation of the circle!

6 0

2 years ago

This is exact and approximate pi<br>SOMEONE PLS HELP BEFORE I FAIL

Kisachek [45]

3.14159 this is pi followed by 2653589 circumference over diameter 79323 OMG can’t you see 8462643 and now we’re on a spree 38 and 32 now we’re blue, oh, who knew 7 thousand 9 hundred 50 and then a 2 88 and 41 so much fun now we run 97169399 then 3751 half-way done 458 now don’t be late 2 oh 9 where’s the wine 74 it’s on the floor then 94459 23 oh we gotta go 78 we can’t wait 164 oh 628 we’re almost near the end keep going 62 we’re getting through oh 899 on time 8628 oh 34 there’s only a few more 82 then 53 42117 oh and 67 we’re done, was that fun? Learning random digits so you can brag to your friends

That was the 100 digits of pi, your welcome

3 0

3 years ago

What is the simplified value of the exponential expression 16^1\4

Natalka [10]

If you observe that $16 = 2^4$ , you can rewrite the expression as

$16^{\frac{1}{4}} = (2^4)^{\frac{1}{4}}$

Now, if you use the exponent rule $(a^b)^c = a^{bc}$ , you may rewrite the expression again:

$(2^4)^{\frac{1}{4}} = 2^{4\cdot\frac{1}{4}} = 2^1 = 2$

6 0

3 years ago

Can you show your work for me on divided Omg 0.6 and 12.9

Anna007 [38]

0.6 divided by 12.9.

0.6 is outside the house for the divide then inside the house is 12.6
then you move your decimal point over 1 place so its 06 divide by 126.
after that 6 goes into 12 twice then your have a remainder of 09 then 6 goes into 9 once, our remainder is 3, then you put a 0 at the end of the decimal point of the 126. after that you bring down your zero and 6 goes into 30 five times.
Answer 21.5

5 0

3 years ago

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0.16(a-4)=0.3(2a+4)Solve the Equation