1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fgiga [73]
3 years ago
15

 find all possible value of the given variable 

Mathematics
1 answer:
mamaluj [8]3 years ago
7 0
1.\\ \\ h^2+5h=0 \\ \\h(x+5)=0\\ \\x=0 \ \ \ or \ \ \ x+5 =0\ \ |-5\\ \\x+5-5=0-5\\ \\x=0 \ \ \ or \ \ \ x=-5


2.\\ \\ z^2-z=0\\ \\z(x-1)=0\\ \\z=0 \ \ \ or \ \ \ z-1 =0 \ \ | +1\\ \\z-1+1 =0 +1 \\ \\x=0 \ \ \ or \ \ \ z=1


3.\\ \\m^2+13m+40=0 \\ \\a=1 ,\ b=13, \ c=40 \\ \\\Delta =b^2-4ac =13^2-4\cdot 1\cdot 40=169 - 1600=-1431 \\ \\and \ we \ know \ when \ \Delta \ is \ negative, \ theres \ no \solution


4.\\ \\z^2-3z=0 \\ \\ (z-3)=0\\ \\z=0 \ \ \ or \ \ \ z-3 =0\ \ |+3\\ \\ z-3+3=0+3\\ \\z=0 \ \ \ or \ \ \ z=3


5.\\ \\q^2+7q=0 \\ \\q(q+7)=0\\ \\q=0 \ \ \ or \ \ \ q+7 =0\ \ |-7\\ \\q+7-7=0-7\\ \\q=0 \ \ \ or \ \ \ q=-7


6.\\ \\k^2+2k=0\\ \\k(k+2)=0\\ \\k=0 \ \ \ or \ \ \ k+2 =0\ \ |-2\\ \\k+2-2=0-2\\ \\k=0 \ \ \ or \ \ \ k=-2


7. \\ \\ x^2-3x-70=0 \\ \\a=1,\ b=-3, \ c=-70 \\ \\\Delta =b^2-4ac = (-3)^2-4\cdot 1\cdot (-70)= 9+280=289\\ \\ x_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{3-\sqrt{289}}{2 }=\frac{ 3-17}{2}=\frac{-14}{2}=-7

x_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{3+\sqrt{289}}{2 }=\frac{ 3+17}{2}=\frac{20}{2}=10\\ \\(x+7)(x-10)=0


8.\\ \\q^2+7q-60=0 \\ \\a=1,\ b=7, \ q=-60 \\ \\\Delta =b^2-4ac = 7^2-4\cdot 1\cdot (-60)=49+240=289 \\ \\ x_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{-7-\sqrt{289}}{2 }=\frac{ -7-17}{2}=\frac{-24}{2}=-12

x_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{-7+\sqrt{289}}{2 }=\frac{ -7+17}{2}=\frac{ 10}{2}= 5\\ \\(x+12)(x-5)=0


9.\\ \\z^2+9z-36=0 \\ \\a=1,\ b=9, \ q=-36 \\ \\\Delta =b^2-4ac = 9^2-4\cdot 1\cdot (-36)= 81+144=225\\ \\ x_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{-9-\sqrt{225}}{2 }=\frac{ -9-15}{2}=\frac{-24}{2}=-12

x_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{-9+\sqrt{225}}{2 }=\frac{ -9+15}{2}=\frac{6}{2}=3\\ \\(x+11)(x-3)=0


10.\\ \\d^2-13d+22=0 \\ \\a=1,\ b=-13, \ q=22 \\ \\\Delta =b^2-4ac = (-13)^2-4\cdot 1\cdot 22= 169-88=81\\ \\ d_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{13-\sqrt{81}}{2 }=\frac{ 13-9}{2}=\frac{4}{2}=2

d_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{13+\sqrt{81}}{2 }=\frac{ 13+9}{2}=\frac{22}{2}=11\\ \\(d-2)(d-11)=0


You might be interested in
X=3 y=5 z=-2<br> Please help me with number 10
zlopas [31]

Answer:

26

Step-by-step explanation:

2*3*5-3(-2)+5(-2)

6*5+6-10

30+6-10

36-10

26

3 0
3 years ago
Read 2 more answers
P(x) = 2x3 − x2 + 10x; <br><br> a 1/2 <br><br><br><br> b 5<br><br><br> c 0<br><br><br> d 2
Alina [70]

Answer:

a......5

b......275

c.......0

d......32

Step-by-step explanation:

mark me brainlist

8 0
3 years ago
Parcc chapter 7 pythagorean theorem
Bumek [7]
So, we know that a^2 + b^2 = c^2.  Right?  That is called the Pythagorean Theorem.

In this case.  We can say that 39 is a, 40 is b, and x is c.
NOTE: It doesn't really matter whether 39 is a or b.  a & b are just the two legs of the right triangle.

So, if we say that 39 is a, 40 is b, and x is c.  We can plug it into the Pythagorean Theorem.

39^2 + 40^2 = x^2

I'll let you take it from there.



7 0
3 years ago
Marlo buys 6 feet of ribbon to make bracelets. She needs 18 inches of ribbon to make 1 bracelet. How many bracelets can Marlo ma
ch4aika [34]

Answer:

4

Step-by-step explanation:

So, 6 feet is equal to 72 inches. You need 18 inches for one bracelet, so by dividing 72/18, you get 4. So, he can make 4 bracelets.

3 0
3 years ago
Read 2 more answers
17/20 - 2/15= ????????????????????
inn [45]

Answer:

Step-by-step explanation:

43/60

5 0
3 years ago
Other questions:
  • If a mixture of 24 lb. of cement, 48 lb. of sand, and 63 lb. of gravel is needed to make 1 cubic foot of concrete, how many poun
    12·1 answer
  • I NEED HELP ASAP! <br> Just number 8 please! Thank you
    9·1 answer
  • 5/8 write a fraction or mixed number as a decimal
    9·2 answers
  • A. Find value of x and KL if K is between J and L.
    11·1 answer
  • Here is a map of the Missouri Botanical Garden. Clare walked all the way around the garden
    5·1 answer
  • How do u draw a diagram os similar triangles with given sides
    13·1 answer
  • The slope of a line is -1/5, and the y-intercept is 5. What is the equation of the line written in general form?
    8·2 answers
  • egadar amd fred share cupcakes in the ratio 3:1 if edgar gets 9 cakes how many does fred get(pleez someone anwer my question ​
    10·1 answer
  • Which equation represents a line which is parallel to the line y=1/5x -1
    6·1 answer
  • One-Step Equations 20 points if you solve them
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!