Answer:
x ≈ - 4.12 , x ≈ 0.12
Step-by-step explanation:
Given
2x² + 8x - 1 = 0 ( add 1 to both sides )
2x² + 8x = 1 ← factor out 2 on the left side
2(x² + 4x) = 1
To complete the square
add/ subtract (half the coefficient of the x- term )² to x² + 4x
2(x² + 2(2)x + 4 - 4) = 1, that is
2(x + 2)² - 8 = 1 ( add 8 to both sides )
2(x + 2)² = 9 ( divide both sides by 2 )
(x + 2)² = [tex]\frac{9}{2}[/tex] ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{\frac{9}{2} }[/tex] = ± [tex]\frac{3}{\sqrt{2} }[/tex] = ± [tex]\frac{3\sqrt{2} }{2}[/tex] ( subtract 2 from both sides )
x = - 2 ± 1.5[tex]\sqrt{2}[/tex] , thus
x = - 2 - 1.5[tex]\sqrt{2}[/tex] ≈ - 4.12 ( to 2 dec. places )
x = - 2 + 1.5[tex]\sqrt{2}[/tex] ≈ 0.12 ( to 2 dec. places )
Conjecture about the properties that change and the properties that stay the same when creating quadrilaterals that are not parallelograms. Check all that apply. The sum of the interior angles will still be 360°. Both pairs of opposite sides will not be parallel. Both pairs of opposite sides will not be congruent. The diagonals will not bisect each other.
A quadrilateral is a four sided shape with two diagonals that bisects each other. The sum total of the interior angles is always 360° for any quadrilateral no matter the shape of the quadrilateral.
It must be noted that both pairs of opposite sides of some quadrilaterals are equal e.g Parallelogram while some are not e.g Trapezium, rhombus, trapezoid etc.
When creating quadrilaterals that are not parallelograms, the following property of such quadrilateral will therefore remains the same.
• The sum of the interior angles will still be 360°.
The following properties will change when creating quadrilaterals that are not parallelograms.
• Both pairs of opposite sides will not be parallel. e.g Trapezoids and rhombus
• Both pairs of opposite sides will not be congruent (will not be the same)
Answer:
Options A and C are correct.
- The sum of the interior angles will still be 360°.
- Both pairs of opposite sides will not be congruent.
Step-by-step explanation:
Complete Question
alyssamonae02
04/20/2020
Mathematics
Middle School
+5 pts
Answered
Conjecture about the properties that change and the properties that stay the same when creating quadrilaterals that are not parallelograms. The new quadilateral has angles
Angle LMN = 85°
Angle MNO = 99°
Angle NOL = 81°
Angle OLM = 95°
Check all that apply.
- The sum of the interior angles will still be 360°.
- Both pairs of opposite sides will not be parallel.
- Both pairs of opposite sides will not be congruent.
- The diagonals will not bisect each other.
Solution
A sketch of the new quadilateral is provided in the attached image.
Checking the statements one at a time.
- The sum of the interior angles will still be 360°.
The sum of interior angles for all four sided plane figures is 360°, hence, the new quadilateral too, although, not a parallelogram anymore, will still have interior angles that sum up to 360°. So, this is a statement that doesn't change with change in figure from parallelogram to other quadilaterals.
- Both pairs of opposite sides will not be parallel.
We cannot tell if this is true just from the information on the angles provided.
- Both pairs of opposite sides will not be congruent.
This is evident as one of the condition for opposite sides to be congruent is for opposite angles too to be equal. None of the opposite angles are equal, hence, this statement is true too.
- The diagonals will not bisect each other.
This also isn't evident from the limited information provided. So, we cannot select it as a correct statement.
Hope this Helps!!!
I need help badly please
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the SUBTRACTION.
so here we are going to use the BODMAS Rule,
Answer is -11
Answer:
Step-by-step explanation:
Can do skmeone help me
a2 - ab – ac + bc
2 how do you factorize it?
Answer:
[tex]a2 + bc - ac - ab[/tex]
Triangle Help! Picture Included
Answer:
tan D.
Step-by-step explanation:
tan D = opposite / adjacent side = 5/12.
Answer:
Last Option
Step-by-step explanation:
Since we are trying to find 5/12, we use one way:
tanD = 5/12
*Edit: I don't know why the mod deleted my answer. I had the correct answer and before that I edited my answer to be correct.
blank is the horizontal change between two points on a line a. rise b. height c. altitude d. run
Answer:
d. run
Step-by-step explanation:
The formula for slope is sometimes referred to as "rise over run." The rise is the change in the y-intercept, going up or down while the run is the change in the x-intercept, going from left to right.
So, the horizontal change between two points on a line is the run.
Hope that helps.
Find the value of:[(1/4)-1 + (1/3)-2 - (1/2)-3 ] ÷ 52
Answer:
-71/624
Step-by-step explanation:
Easiest and fastest way to do this is to plug it into you calc. If you are doing it by hand, remember BPEMDAS and convert the fractions into same denominators to make adding easier.
here is a histogram of a data distribution. All class widths are 1
Answer:
Median is 5
Step-by-step explanation:
There are 15 data points and and 15 is 7 + 7 + 1, so the eighth data point would be your median because it is in the exact middle. If you count it out the answer is 5.
SOMEBODY HELPPP PLEASEEEE. I don’t understand
Answer:
a) 18
b) 10
c) x^2 - 4x + 5
d) 4x^2 + 2
Step-by-step explanation:
f(x) = 4x - 2
g(x) = x^2 + 1
a) f(5) = 4(5) - 2 = 20 - 2 = 18.
b) g(-3) = (-3)^2 + 1 = 9 + 1 = 10.
c) g(x - 2)...
g(x - 2) = (x - 2)^2 + 1 = x^2 - 2x - 2x + 4 + 1 = x^2 - 4x + 5.
d) f(g(x)) = f(x^2 + 1) = 4(x^2 + 1) - 2 = 4x^2 + 4 - 2 = 4x^2 + 2.
Hope this helps!
Follow the steps to finish solving the equation –3x + 18 = 7x. 1. Add 3x to both sides to isolate the variable term. 2. Divide both sides by 10. x =
Answer:
x= 9/5
Step-by-step explanation:
-3x+18= 7x18+= 10x x= 18/10x= 9/5The value of 'x' by using given steps will be 1.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ - 3x + 18 = 7x
Now,
Solve the expression by using the given steps as;
The expression is,
⇒ - 3x + 18 = 7x
Add 3x to both side,
⇒ - 3x + 18 + 3x = 7x + 3x
⇒ 10 = 10x
Divide both sides by 10,
⇒ 10/10 = 10x/10
⇒ 1 = x
⇒ x = 1
Thus, The value of x by using given steps will be 1.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
Which metric unit would be best to measure the height of a small cat?
Answer:
Centimeter is the best choice.
Step-by-step explanation:
And if you want to weight the cat, it you should in ounces.
Best Regards!
Answer:
Centimeters.
Step-by-step explanation:
The metic unit that would be best to measure the height of a cat is centimeters.
The average height of cats is up to 25 centimeters.
How to divide u by v, subtract t from the result, then add w to what you have. I don't understand
Step-by-step explanation:
( u ÷ v - t ) + w
divide u and v, after u get the ans subtract it with T.
then add w.
how many miles are in 10,560 yards?
1 mi. = 1,760 yds.
10,560 yds. = ? mi.
Answer:
6 mi
Step-by-step explanation:
10560 yds ÷ 1760 yds = 6 mi.
Answer: 6 miles
Step-by-step explanation:
1 mile = 1,760 yds.
Then 10,560/1,760
= 6
Therefore, 10,560 yards is equal to 6 miles
please help easy time table consumer math <3
Which of the following equations is equivalent to 6.87p + 9.2 = -7.056?
use photo for reference
Answer:
The answer is the second one 687p + 920 = -705.6
Step-by-step explanation:
The decimal place in each number was shifted right 2 spots
(1) Factor the GCF out of the trinomial on the left side of the equation. (2 points: 1 for the GCF, 1 for the trinomial) 2x²+6x-20=0 (2) Factor the polynomial completely. (4 points: 2 point for each factor) (3) If a product is equal to zero, we know at least one of the factors must be zero. And the constant factor cannot be zero. So set each binomial factor equal to 0 and solve for x, the width of your project. (2 points: 1 point for each factor) (4) What are the dimensions of your project? Remember that the width of your project is represented by x. (2 points: 1 point for each dimension) thank you so much, sorry if it's a little confusing!!
Step-by-step explanation:
(1) Factor the GCF out of the trinomial on the left side of the equation. (2 points: 1 for the GCF, 1 for the trinomial) 2x²+6x-20=0
2x²+6x-20
2(x²+3x-10)
the factors are 2 and (x²+3x-10)
(2) Factor the polynomial completely. (4 points: 2 point for each factor)
2(x²+3x-10)
2(x²-2x+5x-10)
2(x(x-2) + 5(x-2)) group like terms
2(x+5)(x-2)
(3) If a product is equal to zero, we know at least one of the factors must be zero. And the constant factor cannot be zero. So set each binomial factor equal to 0 and solve for x, the width of your project. (2 points: 1 point for each factor)
constant = 2 cannot be zero
the other factors are (x+5) and (x-2)
(x+5)=0 => x= -5
or
(x-2)=0 => x=2
(4) What are the dimensions of your project? Remember that the width of your project is represented by x. (2 points: 1 point for each dimension)
thank you so much, sorry if it's a little confusing!!
(it is indeed confusing, because physical dimensions cannot be negative)
The dimensions of the project (assumed a rectangle) are +2 and -5
Find the solution to the system of
equations.
You can use the interactive graph below to find
the solution.
y = 2x + 3
y = - 3x + 3
Answer:
(0, 3).
Step-by-step explanation:
y = 2x + 3
y = -3x + 3
2x + 3 = -3x + 3
5x = 0
x = 0
y = 2 * 0 + 3
y = 0 + 3
y = 3
y = -3 * 0 + 3
y = 0 + 3
y = 3
So, the solution to the system of equations is (0, 3).
Hope this helps!
Answer: x= 0 y= 3.
or (0,3)
BRAINLIEST ANSWER
Which trigonometric ratio is correct for triangle DEF? (Hint: Use
Pythagorean Theorem first)
Sin(D)= 24/7
Tan(D)= 24/25
Cos(E)= 24/25
Sin(E)= 7/24
Answer:
/25 is the trigonometric
tan=24
Answer:
cos(e) sin(e) is the he correct ratio
Which is a better deal? Three movie tickets for 18 dollars or 8 movie tickets for 42 dollars? How do you know? How much money do you save per ticket with the better deal?
Answer:
$42 for 8 tickets
Step-by-step explanation:
To tell which is the better deal you need to find out how much each ticket costs per scenario
$18 for 3 tickets you will need to do 18/3 which will give you $6 a ticket
$42 for 8 tickets you will need to do 42/8 which will give you $5.25 a ticket
$42 option is cheaper per ticket so it is therefore the better option.
(2x4)(5x10) Steps to solving???
Step-by-step explanation:
(2×4)(5×10)
= (8)(50)
= 400
Please find x: x−5=11−3x
Answer:
x−5=11−3x
Group all the constants at one side
That's
x + 3x =11 + 5
4x = 16
Divide both sides by 4
4x/4 = 16/4
x = 4
Hope this helps you
Answer:
x=4
Step-by-step explanation:
x−5=11−3x
take care of all the variables
you want to put the variables on one side and the numbers on the other
x−5=11−3x
+3x +3x
4x-5=11
+5 +5
4x=16
÷4 ÷4
x=4
hope this helps :)
YOO PLZ HELP ASAP!! MARKING BRAINIEST!!!
Answer:
attached the drawing
Step-by-step explanation:
hope it works
An isosceles triangle with an angle of 10 was dilated by a factor of 0.5. Which must be true about the resulting triangle?
Answer: It has a 5 degree angle
Step-by-step explanation: When you dilate it you multiply 10 and 0.5 to get an angle of 5 degrees.
Answer:
It has a 10° angle.Option B is the correct option
Step-by-step explanation:
Dilation factor doesn't change the angle. So, angle remains same.
It has 10° angle.
Hope this helps..
Best regards!!
ABCD is a rectangle. What is the value of x?
А
63 m
B
165 m
x m
C
A) 2 meters
B) 16 meters
C) 63 meters
D) 65 meters
[tex]AC^{2} = AB^{2} + BC^{2}[/tex] (Pythagorean theorem)
[tex]65^{2} = 63^{2} + x^{2} \\[/tex]
4225 = 3969 + [tex]x^{2}[/tex]
[tex]x^{2} = 4225 - 3969[/tex]
[tex]x^{2} = 256[/tex]
x = [tex]\sqrt{256}[/tex]
x = 16 meters
B) 16 meters
Complete the point-slope equation of the line through (-1,-10) (5,2)
Answer:
Step-by-step explanation:
(2+10)/(5+1)= 12/6 =2
y + 10 = 2(x + 1)
y + 10 = 2x + 2
y = 2x - 8
An Indiana corn grower has 1000 bushels of corn that are to be divided between markets in Indianapolis and fort Wayne. These two markets need at least 100 bushels and 300 bushels. Determine the system of inequalities that describes the above situation.
Plz help me I really need it not to beg and be annoying buts its for a test.The 6th term of some arithmetic sequence is 26, and the 7th term is 30. Find its first term and the common difference. Answer: The 1st term is ; The common difference is .
Answer: The first term is 6; the common difference is 4.
Step-by-step explanation:
this is question What value does the 6 represent in the number 976.14?
Answer:
Ones place
Step-by-step explanation:
9 in 976.14 is the hundreds place.
7 is the tens place.
6 is the ones place.
1 is the tenths place.
4 is the hundredths place.
Answer:
The correct answer should be 6
Marika is training for tack race. She starts by sprinting 100 yards. She gradually increases her distance, adding 4 yards a day for 21 days. Which explicit formula models this situation?
Answer:
A(n)= 100 + (n-1)4
Step-by-step explanation:
nEED HELP please AASAP
Answer:
A = (4π/3 -√3) m^2
Step-by-step explanation:
The area of a sector with a given radius and arc measure is given by ...
A = (1/2)r^2(θ -sin(θ))
Filling in the given values, the area is ...
A = (1/2)(2 m)^2(2π/3 -sin(2π/3)) = 2(2π/3 -√3/2) m^2
A = (4π/3 -√3) m^2 . . . . . matches choice A
The number 686 can be expressed as a product of prime factors in the form p x qr. The value of p+q+r is _________. Work must be shown.
Answer:
p + q + r is 12.
Step-by-step explanation:
Prime factors of a number is the expression of the number in terms of the product of its factors that are prime numbers only.
The prime factor of 686 = 2 x 7 x 7 x 7. Which can be expressed in the form;
p × [tex]q^{r}[/tex] as 2 × [tex]7^{3}[/tex].
So that, p = 2, q = 7 and r = 3.
p + q + r = 2 + 7 + 3
= 12
Therefore, the sum of p, q, and r is 12.