Answer:
100
Step-by-step explanation:
20/2= 10 and 10 squared is 100 but you have to move the -6 to the opposite side
The number required to add to the equation x² + 20x - 6 is 106
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A = x² + 20x - 6 = 0
Now , to make the equation as a perfect square,
The number to be added to the equation is 106
Adding 106 to the equation , we get
A = x² + 20x - 6 + 106
On simplifying the equation , we get
A = x² + 20x +100
Now , the equation can be factorized as
A = ( x + 10 )²
A = 0
( x + 10 )² = 0
x = -10
Hence , The number required to add to the equation x² + 20x - 6 is 106 to make it a perfect square
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
find each angle measure to the nearest degree tan A = 20403 cos Z = 0.1219
Answer:
degree for A is 29° and degree for Z is 0°
Can someone help me What is 20% of 56?
(a) Solve the equation 4 cos x + 2 = 3 for 0° < x < 360°.
Answer:
divide both sides by cosx
4 sinx/cosx = 1
4 tanx = 1
tanx = 1/4
x = arctan(1/4) = 14.04°
but the tangent is also positive in quad III
so x = 180+14.04 = 194.04°
x = 14.04° or 194.04°
Step-by-step explanation:
do by this step
The value of x is 75.52°.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The equation is 4 cos x + 2 = 3 for 0° < x < 360°.
⇒ [tex]4cosx=3-2[/tex]
⇒ [tex]4cosx=1[/tex]
⇒ [tex]cosx=\frac{1}{4}[/tex]
⇒ [tex]x=cos^{-1} (\frac{1}{4} )[/tex]
⇒ [tex]x=75.52[/tex]
Hence we can conclude that the value of x is 75.52°.
Learn more about trigonometry here
https://brainly.com/question/16965914
#SPJ2
A parabola has a vertex (-3, -2) and contains the point (-5, 6). Write the equation for this parabola in vertex form.
Answer:
[tex]y = 2(x +3)^2 -2[/tex]
Step-by-step explanation:
Given
[tex](h,k) = (-3,-2)[/tex] --- vertex
[tex](x,y) = (-5,6)[/tex] --- point
Required
Determine the equation
The general form is:
[tex]y = a(x - h)^2 + k[/tex]
First, we solve for a:
Substitute [tex](h,k) = (-3,-2)[/tex] and [tex](x,y) = (-5,6)[/tex] in [tex]y = a(x - h)^2 + k[/tex]
[tex]6 = a(-5 - (-3))^2 - 2[/tex]
[tex]6 = a(-2)^2 - 2[/tex]
[tex]6 = 4a - 2[/tex]
Solve for a
[tex]4a = 6 + 2[/tex]
[tex]4a = 8[/tex]
[tex]a = 2[/tex]
So:
[tex]y = a(x - h)^2 + k[/tex]
[tex]y = 2(x - (-3))^2 -2[/tex]
[tex]y = 2(x +3)^2 -2[/tex]
during the fall a pumpkin patch advertises four pumpkin for $11.oo which equation below respresents this proportional relationship
Answer:
11x4=44
Step-by-step explanation:
a rectangle has a length of 25x^3 and a width of 5x^2. Fkns the area.
Answer:
Step-by-step explanation:
I hope you want the area.
Area = L * W
L = 24x^3
W = 5x^2
Area = 24x^3 * 5x^2
Area = 120 * x^(3 + 2)
Area = 120 * x^5
Note
When you multiply numbers or letters that have powers, if the base for both of them is the same, the powers are added.
The above answer is an example x^2 * x ^3 are letters (x) that are raised to the 2nd power and the 3rd power. You add the powers.
Numbers can do the same thing
2^5 * 2^3 = 2^82*8 = 2562^5 = 642^3 = 864 * 8 = 256
How much of a radioactive kind of protactinium will be left after 3 minutes if the half-life is 1 minute and you start with 352 grams?
Answer: 44g
Step-by-step explanation:
Half life refers to the length of time it takes for half of the atoms of the element in question to decay.
The half life here is 1 minute which means that in a minute, the amount of protactinium left would be:
= 352 / 2
= 176g
After the second minute:
= 176 / 2
= 88g
After the third minute:
= 88 / 2
= 44g
The ground pool for a hot air balloon can see the balloon in the sky at an angle of elevation of 11°. The pilot radios the crew that the balloon is 950 feet above the ground. What is the horizontal distance from the balloon to the ground crew.
Answer:
4,886.83feet
Step-by-step explanation:
The question will result in a right triangle with
Opposite = distance of the balloon above the ground = 950feet
Angle of elevation = 11 degrees
Required
Horizontal distance h (adjacent)
Using SOH CAH TOA identity
Tan theta =opp/adj
Tan 11 = 950/h
h = 950/tan 11
h = 950/0.1944
h = 4,886.83feet
Hence the horizontal distance from the balloon to the ground crew is 4,886.83feet
I'LL MARK YOU BRAINLIEST HELP PLS XOXO
A_______ represents data through pictures of objects.
(Data,Tally,Bar graph, Pictograph)
Answer:
Pictograph
Step-by-step explanation:
To the nearest foot, what is the diameter of the circle whose circumference is 47.1 feet?
Answer:
d≈14.99ft
Step-by-step explanation:
4) Shruti covered a distance of 350.175 km in 7 days. How much distance did she
cover in 1 day?
Answer:
[tex]350.175 \div 7 \\ 50.025km[/tex]
1.-28 -20 help me plsss
If you mea. 1 . -28 - 20 then the answer is going to be
[tex]1. - 48[/tex]
but if you mean -28 -20 the the answer is going to be
[tex] - 48[/tex]
Find the dimensions of a rectangle whose area is 21 square meters and has the sides
Evaluate the expression for K=-16,m=-22,and n=-23.k+m+n
Answer:
-16-22-23= -61
Step-by-step explanation:
Hope it was helpful .
Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support your answer.
$25.00 With a 10% discount. $27.00 With a 20% discount. $26.00 Whit a 15% discount. Witch one is cheaper?
Answer:
i think its $27.00 with a 20% discount
Step-by-step explanation:
$25 with a 10% discount is $22.50, $26 with a 15% discount is $22.10, and $27 with a 20% discount is $21.60. Therefore the cheapest option is $27.00 with a 20% discount.
Looke
ook at the inequality below.
-84-2v <-46
Which of the following possible
values for v would make this
inequality truc?
A -13, -5,0,3,4
B -19, -6, -1,3,6
C -46, -23, 0, 23, 46
D-60, -30, -10, 5, 25
Solve by factoring.
m^2+6m+5=0
Answer:
-1 and -5
Step-by-step explanation:
m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.
The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.
(m + 1) = 0
(-1 + 1) = 0
This means that one of the values for m is -1.
(m + 5) = 0
(-5 + 5) = 0
This means that one of the values for m is -5.
Moreover, the value of m by factoring is -1 and -5
Answer:
[tex]\sf m=-1,-5[/tex]Step-by-step explanation:
[tex]\sf m^2+6m+5=0[/tex]
Factor, m^2+6m+5
Find, the two numbers that add up to 6 and multiply to 5: 1 and 5
Now, Rewrite the expression:
[tex]\sf (m+1)(m+5)[/tex]
[tex]\sf (m+1)(m+5)=0[/tex]
Now, we will solve the non-linear equation, we can apply the zero product theorem. Each variable factor in the original equation needs to be set to zero.
[tex]\sf m+1=0[/tex]
[tex]\sf m+5=0[/tex]
Now, solve each of the 2 equations:
[tex]\sf m+1=0[/tex]
Subtract 11 from both sides:
[tex]\sf m=-1[/tex][tex]\sf m+5=0[/tex]
Subtract 5 from both sides:
[tex]\sf m=-5[/tex][tex]\sf m=-1,-5[/tex]
________________________________________
A rope 24m long is divided into three pieces in a ratio 1:2:5. The length of the shortest piece in
metre is
Answer:
3 m
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 + 5 = 8 parts
Divide the length by 8 to find the value of one part of the rope
24 m ÷ 8 = 3 m ← value of 1 part of the ratio
Thus the shortest piece is 3 m
The required length of the shortest piece is 3 meters.
Given that,
A rope 24m long is divided into three pieces in a ratio of 1:2:5. The length of the shortest piece in meters is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
let the required proportion is equal to x,
then,
x + 2x + 5x = 24
8x = 24
x = 3
Now the lengths
x = 3 meter
2x = 6 meter
5x = 15 meter
Thus, the required length of the shortest piece is 3 meters.
Learn more about Ratio here:
brainly.com/question/13419413
#SPJ5
-
Evaluate the expression for m
=7 and n = 10.
m + n =
Answer:
7 + 10 = 17
Step-by-step explanation:
Hey there!
m + n
= 7 + 10
= 10 + 7
= 17
Therefore, your answer is: 17
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
write a propotion that can be obtained from the given figures. PLEAS ANSWER SENSIBLY
Answer:
1.
(p+m)/m=(c+o)/o
or
m/(p+m)=o/(c+o)
2.a/v=s/i
or
v/a=i/s
Nobody noticed my last questions please answer them though .
Answer:
28 degrees
Step-by-step explanation:
just subtract 62 from 90
BRAINLY TO WHOEVER HELPS ASAP
Answer: A, D
Step-by-step explanation:
For number 7 the answer is A
For number 8 since you are only moving it is the same size, therefore, producing a congruent image for all 3 of those translation. So for 8 the answer is d.
Answer:
Look Below
Step-by-step explanation:
1) The answer is A. It is A because if you want a reflected images across the Y-Axis, you want just the X value to change. Not the Y. So since the Y is positive and the X is positive, if you want a reflected image you want the X to be negative and the Y to be positive.
2) The answer is D. It is D because those are all forms that will produce a Congruent Image.
If you find any faults in my answer please let me know. Thanks! Have a Good Day!
if 4 children in a family drink 24 ounces of milk everyday then how much do they drink in a week?
Answer:
168 ounces
Step-by-step explanation:
24X7= 168
Answer:
24 times 7=168
Step-by-step explanation:
Hope this helps :)
What is 127% of 40????
Answer:
50.8
Step-by-step explanation:
What is the value of the function
g(t) = 2(t-3)-4 for the input value t= 6?
Answer:
2
Step-by-step explanation:
Replace t with 6:
g(t) = 2(t-3)-4 becomes g(6) = 2(6-3)-4 = 2(3) - 4 = 6 - 4 = 2
Solve for x
eaesfdsdfeasfsef
77
11 X 7 is 77.
if u get two numbers on a shape you just multiply it
-5(3x - 6 ) = -45
1) x = 2.6
2) x = -5
3) x = 5
4) x = -2.6
Please help me with this I will give brainlest to the best answer
Answer:
x=4
Step-by-step explanation:
To find x, start with the equation
(7x-5)=33 because you need the two angles to equal each other
7x=28 next subtract 5 from 33 following the rules of PEMDAS
x=4 now you will end up with x=4, after dividing 28 by 4.