Answer:
(5/2)² must be added to the equation to complete the square.
Step-by-step explanation:
The given equation is
x^2+5x+10=0
writing it in in square form
(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0
We multiply (5/2) to the mid term because we have to make 2x equal to 5x.
As the square formula tells that square of first element plus 2 into first element multiplied by second element plus square of second element.
Making 2x equal to 5x gives (5/2) as the second element.
Therefore add square of the second element but also subtract square of second element to make it equal to the given original equation.
Now we can solve it.
(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0
(x + 5/2)²-(5/2)² + 10= 0
(x + 5/2)²- 25/4+ 10= 0
(x + 5/2)²- 25*5 +10*5/4*5= 0
(x + 5/2)²- 125+50/20= 0
(x + 5/2)²- 175/20= 0
(x + 5/2)²= 175/20
In the right triangle shown, m A = 30° and AB = 12V3.
х
B
30
123
A
How long is AC?
Answer:
∴[tex]Cos A=\frac{AC}{AB}[/tex]
➛ [tex]Cos30=\frac{x}{12\sqrt{3} }[/tex]
➛ [tex]\frac{\sqrt{3} }{2} =\frac{x}{12\sqrt{3} }[/tex]
➛[tex]x=12\sqrt{3}*\frac{\sqrt{3} }{2}[/tex]
➛ [tex]x=18[/tex] ✓
➛[tex]AC=18[/tex] ✓
----------------------
hope it helps...
have a great day!!
Find the surface area of the pyramid. The faces of the triangular pyramid are equilateral triangles 34.6 mm 40 mm 40 mm The surface area is?
Answer:
would you still like me to help you with this problem?
PLS HELPP FIRST TO BE CORRECT WILL GIVE BRANLIEST!!
Answer:
Step-by-step explanation:
BaF2 + Na2S = 2 NaF + BaS
What is the greatest common factor of 20, 12, and 36?
Answer:
The answer is 4
Step-by-step explanation:
help me on this question
Answer:
x = 8
Step-by-step explanation:
It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.
30 ÷ 25 = 1.2
Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;
1.2 (35) = 4x + 10
Simplify,
42 = 4x + 10
Inverse operations,
42 = 4x + 10
32 = 4x
8 = x
Answer:
Step-by-step explanation:
Use proportions to solve this and the similarity from smaller side to corresponding larger side:
[tex]\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10}[/tex] and cross multiply to solve for x:
1050 = 25(4x + 10) and
1050 = 100x + 250 and
800 = 100x so
x = 8
May you help me with this❤️
Answer:
9.50x+130 > 700
Step-by-step explanation:
Answer:
9.50x+130> 700 I believe is the right answer.
Step-by-step explanation:
You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.
x equals how may hours
9.50x + 130 > 700
A ship is sighted from the top of a lighthouse. The angle of depression from the lighthouse to the ship is 45degrees. The distance from the top of the lighthouse directly to the ship is 4miles.Calculate the horizontal distance of the ship from the bottom of the lighthouse
Answer:
[tex]2\sqrt{2} \text{ mi}[/tex]
Step-by-step explanation:
See the attached image for a picture of the situation. The angle of depression lets you find the angle next to it but inside the triangle. It, too, must measure 45 degrees.
That means the triangle is an isosceles triangle (two legs of equal length).
Apply the Pythagorean Theorem.
[tex]x^2+x^2=4^2\\2x^2=16\\x^2=18\\x=\sqrt{8}=2\sqrt{2}\approx 2.83\text{ mi}[/tex]
Please help solve
[tex]\left \{ {{y=-2x+6} \atop {y= x-3}} \right.[/tex]
[tex]\left \{ {{y=5x-4} \atop {y=4x+12}} \right.[/tex]
[tex]\left \{ {{y=\frac{2}{3}x-4 } \atop {y=-\frac{4}{3}+9 }} \right.[/tex]
[tex]\left \{ {{4y+7x=6} \atop {4y+7x =-5}} \right.[/tex]
[tex]\left \{ {{y=0.24x} \atop {y=20.18x+0.9} \right.[/tex]
[tex]\left \{ {{y=4.5x+15} \atop {y=5x+1.25}} \right.[/tex]
[tex]\left \{ {{y=3x} \atop {x+y=52} \right.[/tex]
Anyone wanna help me
Answer:
w^2 -18w + 81
Step-by-step explanation:
Simply, what we have to do here is to divide the coefficient of w by 2, then square it
we have this as -18/2 = -9
Squaring is -9^2 = 81
Round 122.1587 to the nearest hundredth?
Answer:
100
Step-by-step explanation:
H T U
1 2 2
2 is a num below 5 therefore
2=0
find the slope for me please (2, -5) (7, -5)
Answer:
slope=y2-y1/x2-x1
=-5+5/7-2
=0/5
=0
Step-by-step explanation:
Please help me for my cousin
Kai cuts out all the page numbers of a b\ook. He takes each number and cuts the numbers into separate digits (single digit numbers are already separate). Given that the book has 999 pages numbered 1 through 999, how many separate digits does Kai have when he is finished
Answer:
2,889 digits
Step-by-step explanation:
Total pages of the book = 999 pages
Page 1 - 9 cut separately = 9 digits
Page 10 - 99 = 90 pages
Total digits = 2(90)
= 180 digits cut separately
Page 100 - 999 = 900 pages
Total digits = 3(900)
= 2,700 digits cut separately
how many separate digits does Kai have when he is finished
Total separate digits Kai have when he is finished = 9 digits + 180 digits + 2700 digits
= 2,889 digits
Total separate digits Kai have when he is finished = 2,889 digits
if you put $300 into a savings account and the bank account has a 4% annual compound interest-rate, find how much money will be in your savings account after 10 years if you don’t take any money out or put any more in.
what is eight less than a number as an algebraic expression
Answer: n-8
Step-by-step explanation: n represents the unknown number. You need to subtract 8 from the number since "less than" is another phrase to describe subtraction.
I hope this helps, have a nice day.
what is the algebraic expression of the difference of 4 times a and b?
Answer:
4(a+b)
Step-by-step explanation:
Help me find the mean mode range median
Answer:
Mean=2.53
median=2
mode=2
range=3
Step-by-step explanation:
1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4
MEAN
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
38/15=2.53
MEDIAN
Arrange data values from lowest to the highest value
The median is the data value in the middle of the set
If there are 2 data values in the middle the median is the mean of those 2 values.
MODE
Mode is the value or values in the data set that occur most frequently.
RANGE
18-15=3
Round answers to the nearest tenth if necessary.
1. the measure of arc JI is ?? degrees
2. the measure of arc IJH is ?? degrees
3. the measure of angle IKH is ?? degrees
Answer:
a) mJI = m∠JKI = 125°, same measure as central angleb) mIJH = 360° - (180° - 125°) = 305°, same as central angle ∠IJHc) m∠IKH = 180° - 125° = 55°, supplementary with ∠JKIthe function f(x) is graphed below. if f(n)=0 what is the value of n?
Answer:
n = 6
Step-by-step explanation:
f(n) = 0 is on the n- axis at (6, 0 )
When f(n) = 0 then n = 6
Evaluate the expression when x = 4 and y = 5.
3x2 + 4yº.x-1
Answer:
49
Step-by-step explanation:
Plug in 4 for x and 5 for y
[tex]3x^{2}+4y^{0}*4^{-1} \\3*4^{2} +4*5^{0}*4^{-1} \\3*16+4*5^{0}*4^{-1} \\[/tex]
When the log (of the same base) is the outermost step on both sides of the equation, the logs ___.
1. are added
2. are divided
3. are subtracted
4. cancel out
5. are multiplied
Answer:
cancel out
Step-by-step explanation:
HELP! ILL MARK YOU BRAINLY OR WHATEVER ITS CALLED
Answer:
For #7, the answer is 30.3 yd
For #8, the answer is 32.34 in
For #9, the answer is 56.26 ft
Explanation: The formula for an area of a parallelogram is ( A=bh)
Hope that helped!!
can someone tell me if i'm correct or not
you are correct
Step-by-step explanation:
mark me as a brainlist
solve the equation x - 4 = -3 help yall-
Answer:
x = 1
Step-by-step explanation:
x - 4 = -3
(add 4 to both sides)
x - 4 + 4 = -3 + 4
x = 1
Answer:
x = 1
Step-by-step explanation:
So you have to separate the x from the rest of the equation
so you can add 4 to both sides so x is by itself
so ur left with:
x = -3 + 4
and that is equal to x = 1
Hope that helps :)
Which coordinate grid shows M plotted at (4,3)
Answer:
B
Step-by-step explanation:
4,3 is x 4 y 3
Answer:
B
Step-by-step explanation:
graphs are put like this (x,y) your coordinate is (4,3) 4 is the x-axis meaning go right 4 times, 3 is your y so go up 3 times
find the value of x
answers
118
62
82
28
Answer:
118°
Step-by-step explanation:
Don't think the answer is 62° this time both 118° and angle x are congruent.
What do I mean by that? Both angles measure the exact same thing.
The only difference is their line length (n) and (m).
Please answer this math question please and fast
Answer:
its do9ne
Step-by-step explanation:
Answer:
its the one next to the yellow one. hope it helps.
Step-by-step explanation:
12) Two hexagonal pyramids are similar. The perimeters of the pyramids are 36 inches and 30
inches. If the volume of the larger pyramid is 64873 in what is the volume of the smaller
pyramid?
Please help me:)
Answer:
54061 in³
Step-by-step explanation:
Using proportion
Perimeter of smaller pyramid/ Perimeter of Larger pyramid = volume of smaller pyramid/ volume of Larger pyramid
30/36 = x/64873
Cross Mulitiply
36 × x = 64873 × 30
x = 64873 × 30/36
x = 54060.833333 in³
Approximately = 54061 in³
Therefore, the volume of the smaller pyramid is 54061 in³
if anyone could just look at my recent question pls its super easy its just simplyfing
Answer: K
Step-by-step explanation:
Ill do it
In the diagram below, OP is circumscribed about quadrilateral ABCD. What is
the value of x?
Α. 88
Β. 82
C. 98
D. 90
Answer:
82°
Step-by-step explanation:
That is the correct answer to put it simply
The measure of x from the quadrilateral inscribed inside the circle is given by x = 82°
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the circle be represented as P
Now , the quadrilateral inscribed inside the circle be ABCD
where the measure of m∠A = 98°
The measure of m∠B = 90°
Now , the opposite angles of a quadrilateral inscribed inside a circle are supplementary
So , measure of ∠A + measure of ∠C = 180°
On simplifying , we get
98° + x° = 180°
Subtracting 98° on both sides , we get
x = 180° - 98°
x = 82°
Therefore , the measure of x is 82°
Hence , the value of x of the quadrilateral inside circle is 82°
To learn more about circle click :
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