Answer:
x²+8x+16=24
Step-by-step explanation:
x²+8x=7 (+16)
x²+8x+16=7+16=24
(x+4)²=24
The values to be entered in the boxes are 16 and 23.
Given the equation is [tex]x^2[/tex]+8x=7
To complete the square for the equation [tex]x^2[/tex] + 8x = 7, we need to add a constant term on both sides of the equation to create a perfect square trinomial on the left side.
First, take half of the coefficient of the x-term (8) and square it:
[tex](8/2)^2[/tex] = 16
Now, add 16 to both sides of the equation:
[tex]x^2[/tex] + 8x + 16 = 7 + 16
Simplifying:
[tex]x^2[/tex] + 8x + 16 = 23
Therefore, the equivalent number sentence after completing the square is [tex]x^2[/tex] + 8x + 16 = 23
The values to be entered in the boxes are 16 and 23.
Hence, [tex]x^2[/tex] + 8x + 16 = 23.
Learn more about completing the square in quadratic equations, click here:
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16
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What is the volume of a box that will hold exactly 567 of these cubes 1/3
Help please! Someone who knows the answer.
Answer:
A = 140° B = 30° C = 10°
Step-by-step explanation:
3x + 135 = 180
3x = 45
x = 15°
2 X 15 = 30
1 X 15 - 5 = 10
am I correct and do I write a=-2 or negative,2 will be better
Answer: a=-2 is better
Step-by-step explanation:
HURRYYYYY PLEASEEEEE
Find the area of the circle. Use 3.14 for p.
Answer: B
Step-by-step explanation:
A stack of boards is 24 inches high.The thickness of each board is 3/8 inch. How many boards are in the stack?
Answer:
64 boards:)
Step-by-step explanation:
is there anyone available to help me with my math for a little while, it's 10th grade geometry and I just need help, too many people are answering my questions with just bring them answers, or extremely inappropriate answers and I need actual help
Answer:
yes I can help you and I can answer your questions!
heyy! can someone please help with all these questions:(( i don’t know it and it would be really nice if u helped!!! and please don’t make these excuses saying “where’s the picture” and “I can’t read what it says it’s too blurry” because I really work hard for these points :) so please don’t let me down, thank you so much and I hope you have the greatest day<33 stay safe and stay healthy! / I will post this non stop because no one is helping and just keep taking points away from me :( /
Answer:
1. 1/2 and 2/4
2. They are equivalent because it you put them in simplest form they are going to be equal
3. No
4. They are not equivalent because 1/8 and 1/5 isn't the same so they aren't going to be equal
hope this helps
have a good day :)
Step-by-step explanation:
A rectangle has side measurements of 12 units and 8 units. What is the approximate measure of a diagonal that cuts through the rectangle?
Answer:
14.4
Step-by-step explanation:
pythagorean theorem
¿es cierto que si se suman los resultados de la tabla del con los de la tabla del 5 se obtienen los resultados del 7 ¿porque
Answer:
Efectivamente, si se suman los resultados de la tabla del 2 con los de la tabla del 5 se obtienen los resultados de la tabla del 7.
Step-by-step explanation:
Esto es así porque 7 puede formarse a través de diversas sumas (7+0, 6+1, 5+2 o 4+3). Por ende, en el caso de las tablas de multiplicaciones, decir, por ejemplo, 7 x 3, es igual a decir 5 x 3 + 2 x3, dado que 5 + 2 es igual a 7.
Entonces, siguiendo el ejemplo, dado que 7 x 3 es igual a 21, la suma de 5 x 3 igual a 15 y 2 x 3 igual a 6 es 21 (15 + 6), con lo cual la afirmación es correcta.
help me outttt, thank you so much whoever does :))
12.59
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The sum of the reciprocal of two consecutive odd integers is 44/483.Write a rational equation to solve the problem.
Answer:
Step-by-step explanation:
Let consecutive odd integers be (2x + 1) and (2x + 3)
Their reciprocals are [tex]\frac{1}{2x + 1 }[/tex] and [tex]\frac{1}{2x + 3 }[/tex]
[tex]\frac{1}{2x+1}+\frac{1}{2x+3}=\frac{44}{483}\\\\\frac{1*(2x+3)}{(2x+1)(2x+3)}+\frac{1*(2x+1)}{(2x+3)(2x+1)}=\frac{44}{483}\\\\\frac{2x + 3 + 2x +1}{(2x + 1)(2x+3)}=\frac{44}{483}\\\\\frac{4x + 4}{4x^{2}+8x+3}=\frac{44}{483}\\[/tex]
483*(4x+4) = 44*(4x² + 8x + 3)
483*4x + 483*4 = 44*4x² + 44*8x + 44*3
1932x + 1932 = 176x² + 352x + 132
176x² + 352x + 132 -1932x - 1932 = 0
Combine like terms
176x² + 352x - 1932x - 1932 + 132 = 0
176x² - 1580x - 1800 = 0
Divide the equation by 4
44x² - 395x - 450 = 0
Mrs. Long keeps a garden in her backyard. The garden is in the shape of a rectangle. The garden is 27 feet wide. If the perimeter of the garden is 200 feet, what is the length of Mrs. Long’s garden
Answer:
so Area = length x width
Area = 450, width = 9
450 = 9 x length
divide 450 by 9, and you have the length.
Perimeter = length + length+ 9 + 9
and you got your perimeter!
Step-by-step explanation:
If 10 sandwiches cost $36.20, how much will 7 sandwiches cost?
Answer is 25.34
You just have to divide 36.20 by 10 which is 3.62 and then you multiply 7
Find the area of each composite figure.
Round to the nearest TENTH if necessary.
Answer:
Step-by-step explanation:
find the total surface area of the following square pyramid
Answer:
area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .
Step-by-step explanation:
The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .
What is -1/2 (-5/6 plus 1/3) simplified
Answer:
0.25 or 5/12 - 1/6
Step-by-step explanation:
-1/2(-5/6+1/3), do PMDAS. (-5/6) = -0.833 (repeated) and (1/3) = 0.333 (repeated) and you add them both (-0.833 + 0.333) = -0.5 and -1/2 = -0.5 and when you multiply them both it would equal 0.25. or another explanation for the answer is 5/12 = 0.41666666666 and 1/6 = 0.16666666666 and when you subtract them both you get 0.25, I hope this was helpful.
A parabola opening up or down has vertex (0, 0) and passes through (-6,-9).
Write its equation in vertex form.
Simplify any fractions
Answer:
the formula is 1.5x^2
Step-by-step explanation:
Since the vertex is 0,0 h and k are both 0
then you plug in the -6 and -9 to the equation
a(-6)=-9
3/2(x)^2
hope that answers your question
Peyton is going to invest $71,000 and leave it in an account for 18 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Peyton to end up with $106,000?
Answer:
2.23
Step-by-step explanation:
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6-1 Area Word Problems
Pizza Palace's largest pizza box has side lengths of 18 inches. A customer wants to special order a pizza
with an area of 300 square inches. Will the pizza fit in one of Pizza Palace's pizza boxes?
Answer:
No,the pizza will not fit in the box
Step-by-step explanation:
Since the diameter of the pizza is 19.6 inches which is greater that the side length of the box, the pizza is longer than the side lengths of the box
to get the diameter of the pizza,Since the pizza is circular in shapeArea of a circle = π r²where r is the radius and the area is 300 inch²300 = 3.142 × r²[tex] {r}^{2} \: = \: \frac{300}{3.142} \\ {r}^{2} = 95.48 \\ r \: = \sqrt{95.48} \\ r \: = \: 9.8 \: inches[/tex]But diameter is two times the radius So.....diameter = 2r Diameter of the pizza = 2 × 9.8Diameter of the pizza = 19.6 inchesthe melting point of ice + common salt =
Answer:
Step-by-step explanation:
Ice forms when the temperature of water reaches 32 degrees Fahrenheit (0 degrees Celsius). When you add salt, that temperature drops: A 10-percent salt solution freezes at 20 °F (-6 °C), and a 20-percent solution freezes at 2 °F (-16 °C). On a roadway, this means that if you sprinkle salt on the ice, you can melt it.
Find the surface area and volume for each pyramid
Answer:
the answer is 95.2
plz give brainliest
Answer:
volume = 4468.8 m3
surface area = 2021.6 m2
You make $0.75 for every newspaper you sell. Write and solve an equation to find how many newspapers n you have to sell to buy the soccer cleats. Soccer Cleats cost: $36.00
Answer:
You would need 48
Step-by-step explanation:
divide 36.00/0.75
Can someone help me with this problem
For a biology assignment, Christopher records the height of a plant
over time. The plant was 18 cm tall when he started the assignment. He
notices that the plant grows 4 cm every week.
I need it now!!
Solve each problem.
29. It is 385 miles from Al's house
to his grandparents' house. It
takes Al's family 7 hours to
drive there. What is their rate
of speed in miles per hour?
Answer:
rate is 55 i think
Step-by-step explanation:
take 385 ÷ 7 and you get how far they travel in one hour
Which values of c will cause the quadratic equation –x2 + 3x + c = 0 to have no real number solutions? Check all that ap...
Answer:
a quadratic equation has no real number solutions than the discriminant is less than zero
D < 0
(b^2 -4ac) < 0
(9 -4(-1*c) < 0
(9+4c) < 0
4c < -9
c < -9/4
hope this will help you
Step-by-step explanation:
PLS HELPP!!!!
Find f(-5) if f(x)=|x+1|
a.6
b.5
c.4
I need help with this question ( see image). Please show workings.
Answer:
Percentage of the garden that is used to make the pond = 53.8%
Step-by-step explanation:
Area of a garden = 104 m^2
Area of a garden = 104 m^2Area of a pond = 56 m^2
Percentage of the garden that is used to make the pond
= (56/104) × 100%
= 53.8%
Hope this Helps!!!
what is the value of 9 1/2
Answer:
9.5
Step-by-step explanation:
Is that what you mean by value?
I need a better explanation
Answer:
Step-by-step explanation:
It is nine and a half. What do you exactly mean by value?
which set of numbers can represent lengths of the sides of a triangle? A. 1,3,4 B. 3,5,8 C.4,4,9 D. 5,7,9
Answer:
c
Step-by-step explanation:
4 4 9
sum of 2 sides of a triangle should be greater than the third side.