Answer:
[tex]x=\dfrac{-(-1)\pm \sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}[/tex]
Step-by-step explanation:
The quadratic equation is as follows :
[tex]7x^2=9+x[/tex] ...(1)
The solution of a quadratic equation [tex]ax^2+bx+c=0[/tex] is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Equation (1) can also be written as follows :
[tex]7x^2-9-x=0\\\\7x^2-x-9=0[/tex]
Here, a = 7, b = -1 and c = -9
[tex]x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-(-1)+\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}, \dfrac{-(-1)-\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}\\\\x=1.20\ s, -1.06\ s[/tex]
Neglecting negative value.
So, it will hit the ground in 1.2 s.
Answer:
D
Step-by-step explanation:
Edge 2021 hope this helps :)
Kristen gets home from work at 5:34 p.m. Kristen's dinner is ready at 5:51 p.m.
How many seconds after Kristen gets home is her dinner ready?
what is the value of this expression below when z=3
10z^2-2z-2
Answer:
82
Step-by-step explanation:
10z^2-2z-2
10x3^2-2x3-2
90-6-2
90-8
82
Answer:
82
Step-by-step explanation:
Evaluate 10z² - 2z - 2 where z = 3:
[tex] \longrightarrow [/tex] 10z² - 2z - 2 = 10 × 3² - 2 × 3 - 2
3² = 9:
[tex] \longrightarrow [/tex] 10 × 9 - 2 × 3 - 2
10 × 9 = 90:
[tex] \longrightarrow [/tex] 90 - 2 × 3 - 2
-2 × 3 = -6:
[tex] \longrightarrow [/tex] 90 - 6 - 2
90 - 6 - 2 = 90 - (6 + 2):
[tex] \longrightarrow [/tex] 90 - (6 + 2)
6 + 2 = 8:
[tex] \longrightarrow [/tex] 90 - 8
[tex] \longrightarrow [/tex] 82
As an estimation we are told 5 miles is 8 km.
Convert 24 km to miles.
Answer:
15
Step-by-step explanation:
24*5=120 / 8 = 15
15 is answer.
yeah so can u help me
Answer: 5 - 9 = -4
Step-by-step explanation:
So 0 represents your starting point. The arrow starting at 0 is going to the right, so it's adding. It ends at 5, so that means the problem begins with 5. The next arrow starts at 5, then goes back to -4, going back 9 spaces. So far we have 5 - 9. It all stops at -4, so that makes it 5 - 9 + -4.
Can someone help me with this ??
A ceramic sugar bowl weighs 340 grams when empty. It is then filled with sugar. One tablespoon of sugar weighs 12.5 grams. When the sugar bowl is full, it weighs 740 grams. How many tablespoons of sugar can the bowl hold? Show your reasoning.
The ratio of boys to girls in a school is 9 : 11. If there are 400 pupils in the school, how many boys are there?
Answer:
180 boys
Step-by-step explanation:
If there is a ratio of 9 boys : 11 girls
9 + 11 = 20 total
And if there are 400 students total in the school
400/20 = 20.
9 * 20 = 180
11 * 20 = 220
So the ratio of 400 pupils would now be 180 boys: 220 girls
What is the same as 1.5 in a fraction
Answer:
the answers is 3 over 2 in fraction form
Answer:
1 1/2 or 3/2
Steps:
As we know .5 = 1/2
If we take one the 1 out of 1.5 we can use it to connect 1 and 1/2
Can someone please answer the questions
Answer:A. Most cats were in the 7th month and least in the 1st. B. Looking at the graph is legit straight up lit facts. C. I cannot justify the correlation. D. Well we could just kill off all the cars and be down with them falling out the stupid window or we can get them smarter owners
Step-by-step explanation:
(I need to make sure)
Which pair of numbers has the greatest GCF?
A = 140 and 210
B = 130 and 390
C = 240 and 320
D = 550 and 880
If z = 1 –StartRoot 3 EndRoot i, what is z^3? please help im stressed
a) -8
b) 8
c) -8i
d) 8i
Answer:
Correct answer: a) -8
Step-by-step explanation:
Complex Numbers
A complex number z in polar form is expressed as
[tex]z=r(\cos\theta+\mathbf{i}\sin\theta)[/tex]
The nth power of a complex number in polar form is:
[tex]z^n=r^n(\cos(n\theta)+\mathbf{i}\sin(n\theta))[/tex]
If the complex number is given in rectangular form
[tex]z=x+\mathbf{i}y[/tex]
then the values of r and θ are given by:
[tex]r=\sqrt{x^2+y^2}[/tex]
[tex]\displaystyle \theta=\arctan\left(\frac{y}{x}\right)[/tex]
The given complex number is:
[tex]z=1-\mathbf{i}\sqrt{3}[/tex]
The value of r is:
[tex]r=\sqrt{1^2+(-\sqrt{3})^2}[/tex]
[tex]r=\sqrt{1+3}=2[/tex]
r=2
Calculating the angle:
[tex]\displaystyle \theta=\arctan\left(\frac{-\sqrt{3}}{1}\right)[/tex]
[tex]\displaystyle \theta=\arctan(-\sqrt{3})[/tex]
Since the number is in the quadrant IV, the angle is:
[tex]\theta=-60^\circ[/tex]
Thus, z is expressed in polar form as:
[tex]z=2(\cos(-60^\circ)+\mathbf{i}\sin(-60^\circ))[/tex]
Calculating:
[tex]z^3=2^3(\cos(-180^\circ)+\mathbf{i}\sin(-180^\circ))[/tex]
Given cos 180°=-1 and sin(-180°)=0
[tex]z^3=8(-1+0)[/tex]
[tex]z^3=-8[/tex]
Correct answer: a) -8
Answer:
A
Step-by-step explanation:
just finished test
8(-4a + 8b) = 240please
Answer:
= -32a+64b
Step-by-step explanation:
thats the answer
help!!! which is the best buy?
12 oz for 3.55$
16 oz for 4.25
20 oz for 4.55?
HELP MEEEE
I’ll give brainliest if someone can explain that answer
Answer:
no
Step-by-step explanation:
Answer:
No
Because 5 and 1 have the same output as 1.
for a given circle, find the value of x and y
Answer:
8
Step-by-step explanation:
hihihhhihihihihihihihihih
The dimensions for a rectangular or prism are x + 5 for length, x+ 3 for width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.
Answer:
x^3 +8x^2 +15x
Step-by-step explanation:
(x+5)(x+3)(x)
foil:
x^2+8x+15 (x)
x^3+8x^2+15x
If x=5 what is the perimeter of the rectangle whose length is 6x-4 and 3x+2
which shape has the greatest number of lines of symmetry
Answer:
A shape can have more than one line of symmetry. Thus a rectangle has two lines of symmetry, an equilateral triangle has three lines of symmetry, and a square has four. A circle has an infinite number of lines of symmetry since it can be folded about any diameter.
Step-by-step explanation:
Answer: E
Step-by-step explanation: All of the sides are the same length
PLEASE HELP!! IM ON A TIME LIMIT!!
Answer:
1/6
Step-by-step explanation:
Geoff has had, for a long time, a savings account with an annual interest rate of 3.65%. Now, however, the bank wants to change his rate to 0.3% monthly. Should Geoff accept this change?
Answer:
No
Step-by-step explanation:
He will lose 0,05% of the profit
12 x 0,3 = 3,6
3,6 - 3,65 = -0,05
The length of a rectangle is two more than two times its width. The perimeter of the rectang
52m. What is the area of the rectangle?
A
144 in2
B
18 in2
С
26 in2
D
8 in2
Answer:
a
Step-by-step explanation:
Please help!!!!!!!!!!!
Answer:
6/72
Step-by-step explanation:
6/72 =0.0833333333
Answer: 2/9 X 3/8
NOW'
2 X 3 = 6 THIS IS THE ANSWER WHEN U MULTIPLY NOW AS PER
9 8 72
THE QUESTION WE NEED TO SIMPLIFY IT....
SOOOOOO LETS SEE FIRST IF WE CAN SIMPLIFY IT......
my method)
6/72 (lets divide num nd deno by 2)
3/36( Ahh! we cn simplify it further now divide by 3)
1/12
Other metthod
6/72 ( DIVIDE BY 6)
1/12
Step-by-step explanation:
need help plzzzzzzzzzzzz what is it
Answer:
36
Step-by-step explanation:
8 x 9 = 72
72 ÷ 2 = 36
Find the measurements of the height and length then multiply them together.
Now, divide the sum by two because a triangle has half the area of a square's area.
please help me show work
Answer:
x=6°z=64°Step-by-step explanation:
15x+26 + 5x+34 =180
20x + 60 =180
20x=120
x=6z + 15(6) +26=180
z=180-26-90=180-116
z=64hope it helps:)
Help plz plz plz plz
Answer:
.4 and it terminates
Step-by-step explanation:
Answer:
red
Step-by-step explanation:
In circle F with m∠EHG = 35, find the m∠EFG
Answer: m∠EFG = 70
Step-by-step explanation:
m∠EFG = 2x35
m∠EFG = 70
In conclusion the answer is 70
Find the square root of
144
Answer: 12 is the square root of 144
Step-by-step explanation:
subtract 11 from 111 in base two
Answer:
11-111=0b1100100
In the figure shown, which theorem can be used to show that ABC = ADEF?
O A The triangles are not congruent.
OB SAS Triangle Congruence Theorem
OC AAS Triangle Congruence Theorem
OD ASA Triangle Congruence Theorem
Pick choice-C ... AAS.
When I learned Geometry (during the late Pleistocene epoch), I don't remember ever using AAS.
BUT ... If you know 2 angles of a triangle, then you know all three, because they all add up to 180.
So if you have AAS=A'A'S', then you also have ASA=A'A'S', which was a congruence theorem even way back then.
Ahhh the good old days. We rarely got any homework, because the teachers all knew that the clay tablets would ruin our backpacks.
solve for x plsssss help me out
Answer:
-11
Step-by-step explanation:
Triangles have 180 degrees
using the vertical angle theory we know that 80 and 60 are angles
We can subtract them from 180 to get 40 left
this minus 51 is -11
x is -11