The approximate soluton of the equation 102x + 11 = (x + 6)² – 2 is 0.6. Then the correct option is E.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadratic equation is given below.
102x + 11 = (x + 6)² – 2
Open square, we have
102x + 11 = x² + 12x + 36 – 2
x² – 90x + 23 = 0
By the formula, we have the value of x
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{90 \pm \sqrt{(-90)^2}-4*1*23}{2*1}\\\\x = 89.74, 0.256[/tex]
The approximate soluton of the equation 102x + 11 = (x + 6)² – 2 is 0.6. Then the correct option is E.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
Answer:
A and D just did on edge
Step-by-step explanation:
Help me pleaseeeeeeeeeee
Answer:
X= -10
Step-by-step explanation:
Answer:
Angle Relationship: Alternate exterior angles
x = -10
Angle measurement: 51 °
Step-by-step explanation:
These angles are located "outside" the two parallel lines but on opposite sides of the transversal, therefore they are alternate exterior angles.
Alternate exterior angles are congruent, therefore the angle must be 51 °
51 = 61 + x
subtract 61 from both sides
x = 10
Yara have two rectangular gardens in her backyard the smaller garden is 1/2 foot long and 2/3 foot wide the larger Garden is 4 feet long and 5 feet wide what is the area of the small garden in square feet what is the area of the large garden in square feet
Given that :
Area of a rectangle is : A = l×b
For smaller garden,
Length, l = [tex]\dfrac{1}{2}\ \text{foot}[/tex]
Width, [tex]b=\dfrac{2}{3}\ \text{foot}[/tex]
Area of a smaller garden is :
[tex]A=\dfrac{1}{2}\times \dfrac{2}{3}\\\\A=0.34\ \text{foot}^2[/tex]
For larger garden,
length, l' = 4 feet
Width, b' = 5 feet
Area of a larger garden is :
[tex]A'=l'\times b'\\\\A'=4\times 5\\\\A'=20\ \text{feet}^2[/tex]
So, the area of a smaller garden is 0.34 sq ft and that of a larger garden is 20 sq ft.
A family paid $21,600 as a down payment for a home. If this represents 12% of the price of the home find the price of the home.
21, 600 = 12 /100 x X.
21,600 x 100/12 = X
180,000 = X
The big Xs are X, and the small xs are times.
Hope this helps.
will 73 55 4 form a right triangle
Answer:
No.
Step-by-step explanation:
[tex]a^{2} +b^{2} = c^{2}[/tex]
4^2 is 16. 55^2 is 3025. 16 plus 3025 is 3041. 73^2 is 5329. 5329 does not equal 3041.
Hope this helped and have a great day
(Please brainliest)
can iget some help on this pls
Answer:
-2 1/3
Step-by-step explanation:
i hope this helps you!
What happens if the red lines are NOT parallel. Which angle types are still congruent?(please help)
Answer:
If they are not parallel they will cross.
The angle types that are still congruent are the angles that are the same size.
Step-by-step explanation:
Parallel lines never cross but non parallel lines cross.
Could I please have BRAINLIEST?Answer:
vertical ?
Step-by-step explanation:
sorry if wrong :')
Joni climbed 230 feet up a hill and then rappelled down 300 feet into a valley.
Write an addition expression to represent the situation
Answer:
230-300= -70
All you have to do is subtract :)
-2(x-1) I need help????????
Answer:
-2x+2
Step-by-step explanation:
Answer:
-2x+2 because you would have to distribute
A pre-paid cell phone plan has a flat rate of $15 with an additional cost of $0.15 per
minute. At most, how many minutes can Chelsea purchase if she has $35?
Write an inequality for this statement, write out 3 values that would make the inequality true
Answer:
anything less than 133 would be true
Step-by-step explanation:
35 ≥ 0.15m + 15
solve for m
subtract 15 from both sides
20 ≥ 0.15m
divide both sides by 0.15
133.33 ≥ m
m cannot be more than 133 minutes
solve the equation
−9q + 2 = −16
A: -2
B: -14/9
C: 14/9
D: 2
Answer:
Answer should be 2
Step-by-step explanation:
List all the angles that are congruent to the given angle (72 degrees).
1/2
72°
3
d
4/5
7/6
HELP!
Answer:
<2, <5, and <7.
Step-by-step explanation:
<2 and 72°, are vertical angles. Vertical angles are congruent. Therefore, <2 ≅ 72°.
<7 and 72° are corresponding angles. Corresponding angles are congruent, therefore, <7 ≅ 72°.
<5 and 72° are alternate interior angles. Alternate interior angles are congruent, therefore, <5 ≅ 72°.
Angles that are congruent to 72° are <2, <5, and <7.
This figure has two intersecting lines and a ray. What is the value of x?
108°
72°
19°
37°
Answer: The answer is 37
Step-by-step explanation:
If you subtract 71 from 108 the answer is 37
Since the angles of (x + 71)º is opposite to the same vertex to the angle of 108º, it is found that x = 37º.
The ray generated two angles, xº and 71º.Adding these angles, there is an angle of (x + 71)º, which is opposite to the same vertex to the angle of 108º, meaning that they have the same measure.
Applying the equality:
[tex]x + 71 = 108[/tex]
[tex]x = 108 - 71[/tex]
[tex]x = 37[/tex]
Thus, x = 37º.
A similar problem is given at https://brainly.com/question/16742265
Given that ∠2 ≅ ∠6.
Which theorem proves that line d is parallel to line e.
Alternate interior angle theorem
Converse of the alternate interior angle theorem
Alternate Exterior angle theorem
Converse of the alternate exterior angle theorem
Answer:
Converse of the alternate exterior angle theorem
Step-by-step explanation:
just took the test ;)
The theorem that proves that lines d and e are parallel to each other, given that <2 is congruent to <6 is: D. Converse of the alternate exterior angle theorem
When a transversal cuts across two parallel lines, there are special angles formed having relationship with each other.
For two lines to be parallel, such relationship must exist. That is what a converse theorem seeks to prove.
We are told that <2 is congruent to <6.Both angles are exterior angles that also lie opposite each other along the transversal. That makes them alternate exterior angles.<2 will be congruent to <6 if lines d and le are parallel to each other.Therefore, the theorem that proves that lines d and e are parallel to each other, given that <2 is congruent to <6 is: D. Converse of the alternate exterior angle theorem
Learn more here:
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(07.01 LC)
What is the value of x in the equation −6 + x = −5?
A. 1
B. 11
C. −1
D. −11
Answer:
Option A
Step-by-step explanation:
Given the following question:
[tex]-6+x=-5[/tex]
Substitute the variable for any of the options and then solve.
[tex]-6+x=-5[/tex]
[tex]x=1[/tex]
[tex]-6+1=-5[/tex]
[tex]=-5[/tex]
Your answer is "1" or option A.
Hope this helps.
Use the algebra tiles to model x - 2.
Then choose the answer that describes the correct
tiles.
O one blue x tile and two orange + tiles
o
one orange x tile and two blue – tiles
O one blue x tile and two blue – tiles
one orange x tile and two orange + tiles
Answer:
The answer is B.
Step-by-step explanation:
took the assignment :P
It is B. I took the test
and the guy above me is also correct.
Have a nice day!! :D
X/4+7=3
Test answer!!
Answer:
-16
Step-by-step explanation:
you have to first subtract 7 from 3 to get -4. then multiply 4 with -4 to get -16.
Answer:
[tex] \frac{x}{4} + 7 = 3 \\ or \: \frac{x}{4} = 3 - 7 \\ or \: \frac{x}{4} = - 4 \\ or \: x = - 4 \times 4 \\ or \: x = - 16 \\ \\ therefore \: the \: value \: of \: x \: is \: - 16.[/tex]
1. Karen has a square cartolina whose sides measure 60
cm each. She cuts the cartolina into two equal rectangles.
Find the perimeter of one piece of rectangle.
2. A rectangle has a length of 30 cm and a width smaller
by 5 cm. What is its perimeter?
If Karen cut her square cardboard into two equal rectangles, the perimeter of those rectangles is 180cm. On the other hand, if the rectangle is 25 cm wide, the perimeter would be 110 cm.
What is the perimeter of a geometric figure?
The perimeter of a geometric figure is the measure of the length of all its sides. In this case, if Karen has a square of cardboard with a side of 60cm, it can be inferred that she would have two rectangles with a height of 30cm and a base of 60cm, so the perimeter would be:
30cm + 60cm + 30cm + 60cm = 180cmOn the other hand, if the rectangle has a base of 30cm and a height of 25cm, the perimeter would be:
25cm + 30cm + 25cm + 30cm = 110cmLearn more about perimeter in: https://brainly.com/question/6465134
Nancy made 20 ounces of a snack mix that was 1/5 peanuts, 30% raisins, and 5 ounces of chocolate chips. the rest was granola how many ounces of granola were in Nancy's snack mix?
Answer:
5
Step-by-step explanation:
First of all, we have a lot of different forms of part/whole's. We have a fraction, a percentage, and a number. How do we make this work???
Let's convert our percent and fraction to ounces, because that is what the question is talking about.
1/5 of 20
1/5=x/20
20=5x
/5 /5
4=x
Now lets convert our percent into ounces.
30% of 20
30/100=x/20
30(20)=100x
600=100x
/100 /100
6=x
Now we have our ounces, we now need to find what is the granola. To do that, we need to add the number of everything else, and then subtract that by the total ounces.
4+6+5=15
20-15=5
The answer would be 5 ounces of granola!
Write the decimal 0.597 as a fraction.
Answer:
0/6
Step-by-step explanation:
Hope this helps I'm just typing rn bc it says it needs to be longer
100 POINTS!!!
If you have a line parallel to the line given by the equation
what would be the slope of the parallel line?
EXPLAIN
Answer:
The first choice
Step-by-step explanation:
The slope of a line parallel to the original line is the same. Also, a slope does not have x after it.
How do you factor m^2+6m-7
Answer:
Your answer is: (m-1) (m+7)
Step-by-step explanation:
Hope this helped : )
Which of the following is an equation in one variable?
2x + 2y
x + 2 = 4
8 = x
4 + x / 3
(x - 8) / 3 = 9
5x = 10
x + 2 = 4
5 x = 10
because 1st one is not an equation
3rd , 4th and 5th also
C
5 mi
12 mi
What is the length of the hypotenuse?
C =
miles
. Paul plans to have a rectangular garden adjacent to his garage. He will use 36 feet of fence to
enclose three sides of the garden. The area of the garden, in square feet, can be modeled by
w) - W(36 - 2w), where w is the width in feet,
(a) On the set of axes below, sketch the graph of f(w)
The area of the garden is the product of its width and its length
How to plot the graph of f(w)?The given parameters are:
Perimeter = 36 feet
f(w) = w(36 - 2w)
The second expression above represents a function whose input is w; i.e. function w or f(w)
Next, we plot the graph of f(w) using a graphing calculator
See attachment for the graph of f(w)
Read more about areas at:
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round 765,903 to the nearest thousand
Answer:
766,000
Step-by-step explanation:
The thousands place is the 5 in 765,903. Because the hundreds place is 5 or above, the thousands place should be rounded up.
12-(X+9) and 12-x-9*
A: Yes, they are equivalent
B: No, they're not equivalent
Answer:
A Yes, they are equivalent
Step-by-step explanation:
12-(X+9)= -x+3
12-x-9=-x+3
Which numbers can be classified as rational? Select all that apply.
A. 5/6
B. √11
C. 6.565656...
D. 0.23
E. 0.32416...
F. -5 3/8
Answer:
Step-by-step explanation:
5/6 is the very definition of rational. It is a fraction.
C can found to be rational.
100 x = 656.56565656...
x = 6.56565656... Now subtract the 2
99x = 650 Divide by 99
x = 650 / 99
D is rational
23/100 = 0.23
I'm not sure about E. It should show some repeat taking place. Then we'd know.
F is rational
-5 3/8 = -43/8 which is rational.
Answer: A C D F and perhaps E
PAOBLEM 1:
The angle of elevation from a boat to the top of a lighthouse is 25°.
The lighthouse is 150 feet tall. What
is the distance from the boat
to the lighthouse?
(1
150 ft
25°
А
х
Answer:
150ft
Step-by-step explanation:
The distance from the boat to the lighthouse 321.67 ft.
What is Trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.
Given that, The angle of elevation from a boat to the top of a lighthouse is 25°, the lighthouse is 150 feet tall.
Let the distance from the boat to the lighthouse be x
tan25° = 150/x
x = 150/tan25°
x = 321.67
Hence, the distance from the boat to the lighthouse 321.67 ft.
For more references on Trigonometric ratio, click;
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#SPJ2
What did you include in your response? check all that apply. an intercept can be found by letting d = 0 in the equation and solving for q, or by letting q = 0 in the equation and solving for d. the bank could be filled with 54 quarters and no dimes. the bank could be filled with no quarters and 135 dimes.
Answer:
if this is on edge just choose all of them
At the end of a snow storm, Elijah saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 18 inches of snow on the lawn when the storm ended and then it started melting at a rate of 1.5 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Elijah's lawn, in inches, t hours after the snow stopped falling.
Answer:
S = 18 - 1.5t
Step-by-step explanation:
The initial value is 18 inches
The rate of change is -1.5 inches per hour
t is the number of hours
S = 18 - 1.5t