Answer:
38 5/28
Step-by-step explanation:
Well start with the whole numbers 24 and 13 This is adding so that means everything has to be added together. 13+24=37 Now, lets go the fractions.
Find the LCD (Least Common Denominator) of 3/4 and 3/7 and rewrite to solve with the equivalent fractions. (remember the Denominator is the BOTTOM PART of the Fraction. Such as the 4 in 3/4.)
LCD = 28
21/28 + 12/28 = 33/28 which can be simplified to 1 5/28. Combining the whole and fraction parts 37 + 1 + 5/28 = 38 5/28 And that will be your answer. Another way you can do this is
converting mixed numbers to fractions Meaning put them in improper form where the numerator (the top number of a fraction is bigger than the denominator such as 4/3) , our initial equation becomes, 99/4 + 94/7
Applying the fractions formula for addition,
(99×7) + (94×4) / 4×7
= 693+376 / 28 =
= 1069/ 28
Simplifying 1069/28, the answer is
= 38 5/28
And one more thing. An easier way to make a mixed number a improper fraction is the multiply the denominator by the whole number then add the numerator and whatever the denominator is it stays for example
38 5/28.
28 times 38 = 1064 then add the 5 and you get 1069! But we aren't done yet, the denominator was 28 so that means the full answer is 1069/28 and that is the Improper fraction form!
Hope this helps! (sorry I took so long)
~R.C aka dj
Answer:
vertex =
(
4 , 25
)
Step-by-step explanation:
given a parabola in standard form y
= a
x
2
+
b
x
+
c
x
;
a
≠
0
then the x-coordinate of the vertex is
X vertex=-b/2a
y=-x2+8x+9 with a=-1 b=8 c=9
X vertex= -8/-2=4
substitute the value on the equation
Y vertex = -(4)squared+8(4)+9=25
The missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.
<h3>How to find vertically opposite angles?</h3>
We want to prove that m∠BOC = 90°.
We are given that m∠AOB is a right angle triangle. Thus;
m∠BOC must also be equal to 90°
Now, since m∠BOC and m∠AOB are right angles, then it means that we must equally say that m∠DOA and m∠BOC are vertical opposite angles and they are as such equal.
Thus, the missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.
Read more about vertical opposite angles at; brainly.com/question/24425517
#SPJ1
Answer:
x = 
y = 
Jacobian value = 1/7
Step-by-step explanation:
Given data:
u = 2x -y
v = 3x + 2y
solving the system for x and y in terms of u and v
x =
y =
The value of the Jacobian = 1/7 ( solution attached below )
Image under the transformation of the triangular region with vertices ( 0,0) , (2,4) and (2,-3) in the x-y plane is attached below
1) y= -5
2) m = -1
3) k = 3
4) y = -5
Step-by-step explanation:
1) 
Solving:
2) ![8(-1+m)+3 = 2 [m-5 1/2]\\](https://tex.z-dn.net/?f=8%28-1%2Bm%29%2B3%20%3D%202%20%5Bm-5%201%2F2%5D%5C%5C)
Solving:
![8(-1+m)+3 = 2 [m-5 \frac{1}{2} ]\\-8+8m+3=2 [m-\frac{11}{2} ]\\8m-5=2 [\frac{2m-11}{2} ]\\8m-5=2m-11\\Combining\,\,like\,\,terms:\\8m-2m=-11+5\\6m=-6\\m=-6/6\\m=-1](https://tex.z-dn.net/?f=8%28-1%2Bm%29%2B3%20%3D%202%20%5Bm-5%20%5Cfrac%7B1%7D%7B2%7D%20%5D%5C%5C-8%2B8m%2B3%3D2%20%5Bm-%5Cfrac%7B11%7D%7B2%7D%20%5D%5C%5C8m-5%3D2%20%5B%5Cfrac%7B2m-11%7D%7B2%7D%20%5D%5C%5C8m-5%3D2m-11%5C%5CCombining%5C%2C%5C%2Clike%5C%2C%5C%2Cterms%3A%5C%5C8m-2m%3D-11%2B5%5C%5C6m%3D-6%5C%5Cm%3D-6%2F6%5C%5Cm%3D-1)
3) 
(Note: Considering 8(12-k)=3(k+21) instead of 8(12-k)=3(k=k+21))
Solving:
4) 
Solving:
Keywords: Solve for variables.
Learn more about Solve for variables at:
#learnwithBrainly
