how do you solve this equation by completing the square2x² + 16x - 11 = -7
SHOW YOUR WORK!!!
Answer:
x = -4 ± 3√2Step-by-step explanation:
See the steps
2x² + 16x - 11 = -72(x² + 8x) = 4x² + 8x = 2x² + 8x + 16 - 16= 2(x² + 8x + 16) = 16 + 2(x + 4)² = 18x + 4 = ± 3√2x = -4 ± 3√2PLEASE HELP
Solve each given equation and show your work. Tell whether it has one solution,an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or nethier.
(A) 5x+9=2x+7+3x-15
(B) 7x+5x-7=21+10x
(C)24-3x=8-2x+16-x
5x+9=2x+7+3x-15
0=17
7x+5x-7=21+10x
2x=28
x=14
24-3x=8+2x+16-x
-4x=0
~
answer:c
Nikolas and Angela were trying to solve the equation:
3x^2+10x=0
Nikolas said, “I can complete the square. Half of 10 is 5, and 5 squared is 25. So I'll add 25 to both sides, factor, and solve.”
Angela said, “I'll factor the left-hand side of the equation as x(3x+10), and solve using the zero product property."
Whose solution strategy will work?
zero product property (Angela)
Step-by-step explanation:Hi there !
(Angela)
3x² + 10x = 0
x(3x + 10) = 0
x = 0 => x₁ = 0
3x + 10 = 0 => 3x = - 10 => x₂ = - 10/3 = - 3 1/3
Good luck !
Answer:
only angelas
Step-by-step explanation:
List all number sets that apply to each number.
Which of the following options is the standard form of the linear equation 7x - 21 + 2y = 0?
7x + 2y - 21 = 0
21 + 2y + 7x = 0
2y + 7x - 21 = 0
7x - 21 + 2y = 0
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiStep-by-step explanation:
g(x) = x^2 - 3x. Find g (-4)
Step-by-step explanation:
g(-4)=(-4)^2-3(-4)
=16+12
=28
Given h(x) = 2x – 3, find h(9)
Answer:
h(9) = 14
Explanation:
h(x) = 2x - 3
h(9) = 2(9) - 4
h(9) = 18 - 4
h(9) = 14
Chelsea baby sister is 25 inches long she is weari pajamas that fit babies up to 32 inches long.which inequality can be used to find the number of inches (x) the baby can grow and still fit into pijamas
Answer:
7
Step-by-step explanation:
Answer:
32>25
it will be 7 inches
Find the midpoint of the segment with the following endpoints.
(10,5) and (6,9)
Answer:
[tex](8 ,7 )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply plug in your 2 coordinates into the midpoint formula to find midpoint:
[tex](\frac{10+6}{2} ,\frac{5+9}{2} )[/tex]
[tex](\frac{16}{2} ,\frac{14}{2} )[/tex]
[tex](8 ,7 )[/tex]
Numerical information in a variety of media
Answer:
Step-by-step explanation:
148 000 000 km + 800 000 km = 148 800 000 km
can someone help check my work pls
Answer:
Rectangle T, Rectangle P, Rectangle S
Step-by-step explanation:
With a quick use of a calculator, we can convert all the diagonal lengths into decimals for easy comparison
Rectangle P = 6.7 cm
Rectangle S = 34/5 = 6.8 cm
Rectangle T = [tex]\sqrt{36.5}[/tex] = 6.04 cm
Hence from the shortest to the longest, we have
T, P, S
Help me out please thank u
Explanation:
Points A, C, U, D, S and E are all in the bottom floor plane. A plane is a flat surface, and saying "points are coplanar" means the points are all on the same plane.
Points like R, T and B are not on the floor plane, so they are not coplanar with the other points mentioned in the previous paragraph.
In other words, point R is not coplanar with points C, D and E since R is not on the floor plane with C,D,E.
Find the x plz help
[tex]\tt Step-by-step~explanation:[/tex]
To solve for x, we need to know that the angles inside of a triangle is always equal to 180º.
[tex]\tt Steps:[/tex]
Since all the angles added together are equal to 180º, we simply have to add the two given angles and subtract that from 180º.
[tex]\tt 43+60=103\\180-103=77\\x=77[/tex]
[tex]\large\boxed{\tt Our~final~answer: ~x=77}[/tex]
if the m
a. complementary angles
b. supplementary angles
c. linear pair
d. vertical angles
quickly plzz!!
Answer:
you're question is not clear enought
Step-by-step explanation:
I'm so confused.
Write the equation of a line with a slope of 3 and a y-intercept of 4. Do not use spaces
in your response.
Answer:
Y=3x+4
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
a2 + 12 + 181
When a = -2 and b =
14, the value of the expression is
Answer:
√(-2)²+12+14=√16+14=4+14=18
Step-by-step explanation:
The value of expression (√a² + 12) + |b| when a = -2, b = 14 is 16.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given expression
(√a² + 12) + |b|
a = -2
b = 14
Substituting value of a and b in the expression
(√-2² + 12) + |14|
= (√4 + 12) + 14
= (√16) + 14
= 4 + 14
= 16
Hence, 16 is the value of expression (√a² + 12) + |b| when a = -2, b = 14 .
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Is -43 a rational number?
Is the following statement true or false?
The intersection of two lines can be a line segment.
Answer:
True
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
X<1 is the solution to which of the following compound inequalities?
O A.X < 3 and x < 1
O B.X < 3 or < 1
O C.X > 3 and < 1
O D.X > 3 or <1
Answer: a. x<3 and x<1
is 3pi rational or irrational I keep getting mixed answers.
Answer:
Irrational.
Step-by-step explanation:
π, or pi, is an irrational number. 3 times π would still be irrational, as its decimal never ends.
3pi is an irrational number an irrational number (pi) multiplied by a rational number is irrational
Points P, Q, and S are collinear. What is m∠PQR? Straight angle P Q S is divided into 2 angles, P Q R and R Q S, by ray Q R. Angle P Q R has measure 3 x minus 5 degrees and angle R Q S has measure x plus 1 degrees. m∠PQR =
Answer:
Step-by-step explanation:
If P, Q and S are collinear, then the three points lies on the same straight line.
If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;
<P Q R + <R Q S = 180
Given
<R Q S =x+1
<P Q R = 3x-5
Substitute the given expression into the formula and calculate x;
3x-5+x+1 = 180
collect like terms
3x+x - 5+1 = 180
4x-4 = 180
4x = 180+4
4x = 184
divide both sides by 4
4x/4 = 184/4
x = 46°
To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.
m∠PQR = 3x-5
m∠PQR = 3(46) - 5
m∠PQR = 138 - 5
m∠PQR = 133°
Hence the measure of angle m∠PQR is 133°
The measure of angle m∠PQR is 133° and the measure of angle m∠RQS is 47° on straight angle ∠PQS.
Given that, points P, Q and S are collinear, then the three points lies on the same straight line.
The straight ∠PQS is divided into 2 angles as ∠PQR and ∠RQS, by ray QR, then ∠PQR + ∠RQS = 180°
Here, ∠PQR = (3x-5)° and ∠RQS =(x+1)°
So, (3x-5)°+(x+1)°=180°
4x-4=180
4x=184
x=184/4
x=46
Now,
∠PQR = (3x-5)°
= 3×46-5
= 138-5
= 133°
Hence, the measure of angle m∠PQR is 133° and the measure of angle m∠RQS is 47° on straight angle ∠PQS.
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Why do waves move faster at higher temperatures and in a solid phase?
There is more energy and the particles are farther apart.
There is less energy and the particles are closer together.
There is less energy and the particles are farther apart.
O There is more energy and the particles are closer together.
Answer:
its d
Step-by-step explanation: im taking the quiz right now and this is what i chose i am 100% sure that this is the answer! Hope this helps!
The waves move faster at higher temperatures and in a solid phase because there is more energy and the particles are closer together.
What is Energy?Energy is a quantifiable quality that may be imparted to a body or a physical system and is visible in the way things work as well as in the way that things radiate heat and light.
Higher temperatures imply more energy, and particles are close together in a solid phase.
As a result, highly energetic particles collide with nearby particles, which then collide with further particles.
Higher temperatures cause waves to move more quickly; in a solid phase, more energy is there but the particles are farther apart.
less energy is present but the particles are closer together; more energy is present but the particles are farther apart.
Learn more about energy here:
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There are 10 questions in a quiz. Using the reference image, find how many questions must be answered correctly to earn at least 14 points.
The circumference of a soda can is 62.8 mm. Find the radius of the soda can?
Answer:
9.99493
Step-by-step explanation:
You divide the circumference by pi to get the diameter. Then if you want the radius, you just simply cut the diameter in half!
Which rate is equivalent to the unit rate of 17 miles per gallon?
Answer:
B.
Step-by-step explanation:
51 miles / 3 gallons = 17 miles per gallon
its b i did the test
Mrs. Johnson is buying a car that costs $15,000. She has $3,000 for a down payment. If each of her four children want to pay for the rest of the car, how much does each child need to pay?
Answer: 15-3=12 12/4=3 each child will pay 3,000
if x²-5x +1 =0, what is the value of -
[tex](x + \frac{1}{x} ) [/tex]
=================================================
Work Shown:
x^2 - 5x + 1 = 0
x^2 + 1 - 5x = 0
x^2 + 1 = 5x
(x^2 + 1)/x = 5 .... where x is nonzero
(x^2)/x + (1/x) = 5
x + (1/x) = 5
---------------
An alternative method involves solving the original equation using the quadratic formula. After you get the two roots x = p and x = q, you should be able to find that p + 1/p = 5 and also q + 1/q = 5 as well.
In this case,
p = (5 + sqrt(21))/2
q = (5 - sqrt(21))/2
Answer:
5
Step-by-step explanation:
Since this equation is not factorable, you can either use the quadratic formula, graph and look for its zeros, or other methods to get it's zeros.
But using the quadratic formula which always spits out a x value gives me:
4.791 and 0.209.
Now let's test both of these values since we have two x values.
[tex](4.791+\frac{1}{4.791})[/tex] ≈5 (4.9999)
and
[tex](0.209+\frac{1}{0.209})[/tex] ≈5 (4.9936)
Gavin borrowed $250 from his parents to buy a new mp3 player. Each week he pays his parents back $10. The function, m(w) = 250 – 10w, represents how much money Gavin still owes his parents. What does the value of w represent when m(w) = 0? Explain your reasoning. What is the value of w when m(w) = 0?
Answer:
m=25
Step-by-step explanation:
You want to divide 250 by 10 to find the number of weeks it would take him to pay back his parents. which would be 25. It would take Gavin 25 weeks to pay his parents back. m(w)=0 just is telling you the worth of that part of the equation.
A triangle has perimeter 37 cm
Two sides of the shapes are put
together to make a pentagon
A square has perimeter 56 cm.
What is the perimeter
of the pentagon?
5x + 3 < -7 or -2x - 6 < -8
Answer:
-2x - 6 < -8
Step-by-step explanation:
when the first one is smiplfid it gives us x<−2
when the second one is smiplfid it gives us x>1 which means it's correct because 8 is greater than 1
plz mark brainliest
Answer:
( −∞ , −2 ) ∪ ( 1 , ∞ )
Step-by-step explanation:
5x + 3 < -7 → x < −2 → ( −∞ , −2 )
-2x - 6 < -8 → x > 1 → ( 1 , ∞ )
5x + 3 < -7 or -2x - 6 < -8 → x < −2 or x > 1 → ( −∞ , −2 ) ∪ ( 1 , ∞ )
Graph 1) 5x + 3 < -7
Graph 2) -2x - 6 < -8
Graph 3) 5x + 3 < -7 or -2x - 6 < -8
