Answer:
FD≈25.94.. rounded = 26
Step-by-step explanation:
FD²=12²+(4x+11)²
FD²=144+16x²+88x+121
FD²=265+16x²+88x
also
FD²=12²+(13x-16)²
FD²=144+169x²-416x+256
FD²=400+169x²-416x
thus
265+16x²+88x = 400+169x²-416x
16x²-169x²+88x+416x+265-400 = 0
-153x²+504x-135 = 0
we will solve this quadratic equation by suing the quadratic formula to find x
x=(-504±sqrt(504²-4(-153)(-135)))/2(-153)
x=(-504±[tex]\sqrt{504^{2}-4(-153)(-135) }[/tex])/2(-153)
x=(-504±[tex]\sqrt{254016-82620 }[/tex])/-306
x=(-504±[tex]\sqrt{171396}[/tex])/-306
x=(-504±414)/-306
x=(-504+414)/-306 and x=(-504-414)/-306
x=-90/-306 and x=-918/-306
x= 5/17 , 3
substituting x by the roots we found
check for 5/17:
4x+11 = 4×(5/17)+11 = (20/17)+11 = (20+187)/17 = 207/17 ≈ 12.17..
13x-16 = 13×(5/17)-16 = (65/17)-16 = (65-272)/17 = -207/17 ≈ -12.17..
check for 3:
4x+11 = 4×3+11 = 12+11 = 23
13x-16 = 13×3-16 = 23
thus 3 is the right root
therfore
ED=23 and CD=23
FD²=FE²+ED² or FD²=FC²+CD²
FD²=12²+23²
FD²=144+529
FD²=673
FD=√673
FD≈25.94.. rounded = 26
Answer:
FD = 25.94 or 26Step-by-step explanation:
ED = CD ...... ( Tangent secant Property)
4x + 11 = 13x - 16
11 + 16 = 13x - 4x
27 = 9x
27÷9 = x
3 = x
so,
ED = 4x + 11 = 4(3) + 11
ED = 23
FE = 12 ...... ( given )
ΔFED = 90° ...... ( tangent property )
so,
FD² = FE² + ED²
FD² = 12² + 23²
FD² = 144 + 529
FD² = 673
FD = √673
FD = 25.94
FD = 26 (approx )
Find the slope of the line
Answer:
Your answe is 1
Step-by-step explanation:
Formula : y2-y1/x2-x1
Mrs. Smith and her two sons spent a total of $53.50 at the movie theater. Together they spent $26.75 on snacks and Mrs. Smith's ticket was $11.25. How much did each son's ticket cost?
Answer:
$7.75
Step-by-step explanation:
$26.75 + $11.25=$38
$53.50 - $38=$15.5
$15.5/2= $7.75
Can some one plz help me
Answer:
Step-by-step explanation:
A is midpoint of DB
DA ≅ AB ------------------(I)
B is midpoint of AE
BE≅ AB ---------------(II)
From (I) & (II)
DA ≅ AB
∠D ≅ ∠E Given
CD ≅ CE {Sides opposite to equal angles are equal}
ΔCDA ≅ ΔCEB { S A S congruent}
Answer:
AB = BA reflexive property
AB = BE and DA = AB definition of midpoint
then DA = EB
CD = CE ΔCDE is isosceles
ΔCDA ≅ ΔCEB SAS
Step-by-step explanation:
help please quick! show work please.
Use the area to find the value of x:
Answer:
Step 1:divide
276/12=23
Step 2:
answer it!
Step-by-step explanation:
Your answer is 23. Divide the sf by the ft then you get x.
Answer: 23 ft
Step-by-step explanation: If you divide 276 by 12 your answer will be 23 ft.
In 1998 there were 305 students who graduated from high school. In 2019, there were 356 students. What is the rate of change in the number of students?
1. About 1 student per year
2. about 51 students per year
3. about 2 students per year
4. about 5 students per year
Answer:
3. about 2 students per year
Step-by-step explanation:
The rate of change would be the difference in the number of students divided by the number of years passed.
So, rate of change = [tex]\frac{356-305}{2019-1998}[/tex]
= [tex]\frac{51}{21} = 2.43[/tex]
So it's around 2 students per year.
I hope this is correct and helps!
Please help!!!! I need it
Answer:
Look to explanation for help with answer :)
Step-by-step explanation:
Each year 50 new bulbs are added, so the gardener can expect that many added plants each year. So add 50 6 times and that will get to how many new bulbs will be added by 10 years time. More and more plants will be added each year and depending on which method the gardener chooses to use it will affect the buying amounts for each year as well as how many are bought.
I hope this helps! Good luck!
find the slope hurry pleaseeee
Answer:
I think the answer is ¼, im not 100% aure tho.
Step-by-step explanation:
0.0000056 rewritten as a single digit
times a power of ten becomes:
Answer:
5.6× 10^ -6
.......................
If the surface area of a cube is 384 square inches, what is the length of each side
Answer:
There are six equal surfaces of a cube. Then,
384 / 6 = 64 sq in (the area of one surface)
The area of one surface of a cube will be equal to x*x (if we let the edge length be x)
x^2 = 64
x = 8 inch
Step-by-step explanation:
And the second question asks
Are the systems of equations
equivalent?
Yes
No
Help please!?!?!?!?!?!?!?!?!
Answer:
Your answer is D.
Step-by-step explanation:
If you need explanation ask me in comment
What is the volume of the cone? Estimate using 3.14 for pi, and round to the nearest tenth
Answer:
V=πr2h3
r Radius
h Height
Right circular cone
Answer:
its going to be 21 or 20 I think I'm not sure
A produção mensal de uma Olaria é de 5.000 tijolos nesse mês alvará produziu 3925 tijolos quantos tijolos ainda falta para completar a produção mensal
Responda:
1075 tijolos
Explicação passo a passo:
Dado que:
Número de tijolos produzidos Mensalmente = 5.000 tijolos
A quantidade de tijolos produzidos por licença = 3925
O número de tijolos que ainda faltam no valor mensal desejado:
Quantidade de produção mensal - quantidade produzida por licença
5000 - 3925 = 1075 tijolos
URGENT Find the area of the shaded sector. Round to the nearest tenth.
r = 6 central angle = 15
Answer:4.7
Step-by-step explanation:
A tree grows three-fourth feet per year. How long will it take the tree to grow from
a height of 17 3/4 feet to a height of 25 1/2 feet?
Answer:
9 years
Step-by-step explanation:
37-21.25 =15.75ft
1.75ft per year
15.75 / 1.75 = 9 years
please help it’s urgent
Answer:
1) 12/18
2) 15/25
3) 32/40
4) 6/14
5) 8/15
6) 16/24
7. 12/27
Step-by-step explanation:
help me simplify this
Answer:
Da^^ good luck that looks hard
Step-by-step explanation:
I know i already answered it i just want to make sure im right can someone double check it for me! Sorry
Answer:
You are correct!!! (<5 and <4 , <3 and <6)
Step-by-step explanation:
5 and 6 are on the same line so they are not alternate and angle 1 is on the outside.
Use the distributive property of multiplication to find 6 x 32
Answer:
..................
Step-by-step explanation:
[tex]2(3 + 16) [/tex]
1. In a karate class there are 22 students. 15 of the students are male. What is the ratio of females to the total number of students?
22:15
7:22
7:15
Answer:
239392iq5858558586867685858484939939
e
Step-by-step explanation:
abcdefghijklmnopqrstuvwxyz
how do you multiply add and divide fractions?
Answer:
If the denominators are not the same: First, make them the same. Then add or subtract like fractions with the same denominators.
Step-by-step explanation:
the first step when multiplying fractions is to multiply the two numerators. the second step is to multiply the two denominators. simplify the new fractions. the fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
to add or subtract fractions they must have the same denominator. if the denominators are already the same then it is just a matter of either adding or subtracting the numerators if the denominators are difrent then a common denominator needs to be found.
Ilk defa buraya giriş yapıyorum sırf deneme için bir soru paylaşıyorum. 23*11= yukarıdaki soruyu yaparsanız sevinirim
Cevap:
253
Adım adım açıklama:
23 ve 11'in çarpımı;
_____2 ___ 3
___ * _ 1 ____1
_________
_____2____3
_ + _ 2_3
____________
__2__5____3
____________
Dolayısıyla 23 * 11'in çarpımı 253'tür.
Hesap makinesi problemi çözmekte zorlanırsa aynı sonuç.
hi please help i’ll give brainliest
4x + 8 - 9x = -17 what is x\
and the x has to be the same for each
Answer:
x = 5
Step-by-step explanation:
4x + 8 - 9x = -17
combine like terms:
-5x = -25
divide both sides of the equation by -5:
x = 5
Answer:
x=5
Step-by-step explanation:
4x-9x+8=-17
-5x+8=-17
subtract 8 from both sides and you get:
-5x=25
divide 5 from both sides, and you get x=5! :)
What is the distance from -7 to 5 on a number line?
2
4
-12
12
Answer:
12 units
Step-by-step explanation:
Find the absolute value of the difference , that is
d = | - 7 - 5 | = | - 12 | = 12 or
d = | 5 - (- 7) | = | 5 + 7 | = | 12 | = 12
The distance from -7 to 5 on a number line is 12 units. This distance between two integers is calculated by using a number line and the absolute value of the difference between those two integers.
What is a Number line?A number line is a graph for the real numbers.It is used to represent the integers on it at a regular interval. It is also used for finding arithmetic operations like the addition and subtraction of integers.The positive integers lie on the right side of the number line and the negative integers lie on the left side of the line The zero lies at the center of the line which separates the positive and negative integers.How to calculate the distance between two integers on a number line?For calculating the distance between two integers, count every integer in between themA faster way of finding the distance between the two integers is by taking the absolute value of their differenceIf A and B are two integers, then the distance between them is given by |B - A|Calculating the distance from -7 to 5 on the number line:
⇒ | 5 - (-7) |
⇒ | 12 |
= 12 units
Therefore, there are 12 units in between the given two integers -7 and 5 on a number line which is shown below
Learn more about the number line here:
https://brainly.com/question/3887107
#SPJ2
please help me im giving you a lot of points
Answer:
7w13 times4y2
Step-by-step explanation:
Johnny starts run at the 2 mile mark and runs 4 miles per hour. Javier starts at the 6 mile mark and runs 2 miles per hour. How long until Johnny catches up with Javier?
Answer:
2 hours
Step-by-step explanation:
This is due today PLSS help!
Answer: sorry I dont know!
Step-by-step explanation:
work out the equation of the line which has a gradient of 2 and passes through the point (1, 4)
Answer:
y = 2x + 2
Step-by-step explanation:
The slope is also called the gradient of the line.
The slope that is given is two, and the point is (1, 4).
I made a point slope equation, and then converted it into a slope-intercept equation.
[tex]y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}[/tex]
Hope this helps.
NEED HELP ASAP PLEASE AND THANK YOU!!!
Step-by-step explanation:
10²+11²
=100+121
=221
=√221
=14.87