Answer:
49
Step-by-step explanation:
(-7)² = (-7)(-7) = 49
Each side of a square is(7+3x) units. What is the perimeter of the square
Answer:
4(7+3x)
Step-by-step explanation:
We know that a square has all equal sides, otherwise it's not really a square. So if each side of the square is 7+3x units, then the perimeter (which is always side+side+side+side) would be 4 times as great. In other words, since the perimeter is side+side+side+side, and since that multiplication is repeated addition, 4(7+3x) is the same as (7+3x)+(7+3x)+(7+3x)+(7+3x)
A line segment on the coordinate plane has endpoints (2,4) and 4,y). The midpoint of the
segment is point (3,7). What is the value of y?
11
0-2
5
10
Answer:
10
Step-by-step explanation:
Given:
End points of a line segment are given as:
(2, 4) and (4, y)
Mid point of the line segment is: (3, 7).
To find:
Value of y = ?
Solution:
If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then mid point of the line ([tex]x, y[/tex]) is given by The Mid Point Formula:
Mid point formula:
[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]
Here,
[tex]x_1 = 2\\x_2 = 4\\y_1 = 4\\y_2 = y\\[/tex]
[tex]x =3\\y=7[/tex]
Putting all the value to find [tex]y[/tex]:
[tex]7 = \dfrac{4+y}{2}\\\Rightarrow 4+y=14\\\Rightarrow \bold{y =10}[/tex]
So, the value of [tex]y[/tex] is 10.
1
Marty saws off
of a wooden board. Then, he saws off
Alu
of what is left of the board. Finally,
1
he saws
off of this remaining piece of board. What fraction of the original board is left?
Answer:
Fraction of the original board left = [tex]\frac{2}{15}[/tex]
Step-by-step explanation:
Let the length of the board is = l feet
Marty saws off [tex]\frac{1}{5}[/tex] of a wooden board.
Length of the board left = l - [tex](\frac{1}{5})l[/tex]
= [tex](\frac{4}{5})l[/tex] feet
He saws off [tex]\frac{3}{4}th[/tex] of the remaining board,
Board left = [tex](\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})][/tex]
= [tex]\frac{4}{5}l-\frac{3}{5}l[/tex]
= [tex]\frac{1}{5}l[/tex] feet
He finally saws off [tex]\frac{1}{3}[/tex]rd of the remaining board.
Board left = [tex]\frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l[/tex]
= [tex](\frac{1}{5}-\frac{1}{15})l[/tex]
= [tex]\frac{2}{15}l[/tex] feet
Fraction of the original board left = [tex]\frac{\frac{2}{15}l}{l}[/tex]
= [tex]\frac{2}{15}[/tex]
Sum of the numerator and denominator of the fraction is 4 more than twice the numerator . If the numerator and denominator is deceased by 3.they are in the ratio 2:3. Determine the fraction
The system is:
[tex]\frac{x}{y}=2x + 4[/tex]
[tex]\frac{x-3}{y-3}=\frac{2}{3}[/tex] (y musn't be 3).
Solving for y in the first equation gives you:
[tex]y=\frac{x}{2x+4}[/tex]
Simplify the second equation to:
[tex]2(y-3)=3(x-3)[/tex]
Insert y you solved in first equation to second equation to get:
[tex]\frac{x}{x+2}-6=3x-3[/tex]
Further simplification gets you to quadratic equation:
[tex]x=(3x+3)(x+2)\implies x=3x^2+9x+6[/tex] [tex]3x^2+8x+6=0[/tex].
Solving quadratic equation using quadratic formula gives you two solutions of x in complex plane:
[tex]x_1=\boxed{-\frac{8}{6}+\frac{\sqrt{8}}{6}i}[/tex]
[tex]x_2=\boxed{-\frac{8}{6}-\frac{\sqrt{8}}{6}i}[/tex]
Insert the found x-es into first equation to find the y-s:
[tex]y_1=\boxed{-\frac{1}{2}+\frac{\sqrt{2}}{2}i}[/tex]
[tex]y_2=\boxed{-\frac{1}{2}-\frac{\sqrt{2}}{2}i}[/tex]
So there are two solutions (points) [tex]P_1(x_1,y_1),P_2(x_2,y_2)[/tex] both in [tex]\mathbb{C}[/tex] plane.
And the two fractions are:
[tex]\frac{-\frac{8}{6}+\frac{\sqrt{8}}{6}i}{-\frac{1}{2}+\frac{\sqrt{2}}{2}i}[/tex].
[tex]\frac{-\frac{8}{6}-\frac{\sqrt{8}}{6}i}{-\frac{1}{2}-\frac{\sqrt{2}}{2}i}[/tex].
Hope this helps.
How would I solve this question? I need to solve for s.
Answer:
4
Step-by-step explanation:
2r = 5s/2 - s/4 ⇒ bring to common denominator2r = 10s/4 - s/42r = 9s/49s = 8r ⇒ multiply both sides by 4s = 8r/9 ⇒ divide both sides by 9s = 8/9*9/2 ⇒ replace r with 9/2, simplifys = 4 ⇒ answerwhat is 4 times the square root of 2 times 6 times the square root of 18
Answer: 144
Step-by-step explanation:
There is a 70% chance of rain tomorrow and a 20% chance that the volleyball game will be postponed. What is the
probability that it will rain tomorrow and the volleyball game will be postponed?
O 14%
O 35%
O 50%
o
90%
A company's division registered a loss of (-$12,480) while producing 80 identical parts.
What was the loss per part?
Answer:
loss per part is $(-156).
Step-by-step explanation:
Given total loss = $(-$12,480)
no of identical parts produced = 80
let the loss per part be x
then, total loss for 80 parts = 80* loss per part = 80x
given that total loss = $(-$12,480)
80x = $(-$12,480)
x = $(-$12,480) /80 = $(-156)
Thus, loss per part is $(-156).
Here negative sign implies that it is a loss.
Evaluate the expression for the given value of x. 3.5x − 3.5 for x = 3
I need answer ASAP !:/
Answer:
-10.50 is NOT an integer
Step-by-step explanation:
-10.50 is not an integer number, it includes half of the unit (0.50)
Solve 19 and 25, will give BRAINLIST!!
Answer:
9.333
Step-by-step explanation:
[tex]19. \: cross \: multiplying \\ 6a = 7 \times 8 \\ 6a = 56 \\ \frac{6a}{6} = \frac{56}{6 } \\ a =9.333[/tex]
25. Cross multiplying
nx1 =0.19x12
n=2.28
Answer:
[tex]\Large \boxed{{19. \ a \approx 9.33}} \\ \\ \Large \boxed{25. \ n=2.28}[/tex]
Step-by-step explanation:
(19)
[tex]\displaystyle \frac{6}{8} =\frac{7}{a}[/tex]
Cross multiply.
[tex](6)(a)= (7)(8)[/tex]
[tex]6a=56[/tex]
Divide both sides by 6.
[tex]\displaystyle a = \frac{56}{6}=\frac{28}{3}[/tex]
[tex]a \approx 9.33[/tex]
(25)
[tex]\displaystyle \frac{1}{0.19} =\frac{12}{n}[/tex]
Cross multiply.
[tex](1)(n)=(0.19)(12)[/tex]
[tex]n=2.28[/tex]
Two of the angles in a triangle measure 35 and 8. What is the measure of the third angle?
Answer:
137°
Step-by-step explanation:
Total angle of a triangle:
a + b + c = 180°
35 + 8 + c = 180°
c = 180° - 43° = 137°
A rice cooker costs $3m. A kettle is $35 cheaper. Find the cost of the kettle.
(Give your answer in terms of m.)
Pls answer
Answer:
2,999,875
Step-by-step explanation:
3,000,000m -35=2,999,875
which ordered pair represent a function
Answer:
The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5).
Hope this helps you with your question.
does anyone know this?
Answer:
[-8, 7]
Step-by-step explanation:
The range is the set of values used for the y-coordinates of the all the points of the function.
The highest value of the function is at point (8, 7), so the greatest value y has is 7.
The lowest point of the function is at point (-3, -8), so the least value of y is -8.
Range: [-8, 7]
Answer:
[7, -8]
Step-by-step explanation:
Hello!
The range of a graph is found from looking at the graph from top to bottom
The highest point is 7 and the lowest point is -8
The range would be [7, -8]
Hope this helps!
9×1= 9 9×2 =18 9×3 =27 9×4 =36 9×5 =45 9×6 =54 9×7 =63 9×8 =72 9×9 = 81 9×10= 88 Pls share the logic behind this!
What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1
Answer:
The answer is "GK=37, GH=14, and JK=19 ".
Step-by-step explanation:
In the question, an attachment file is missing.so, please find its attached file.
Given values:
GJ=4x+2
HK=6x-1
GK =37
Find:
HJ=?
GK = GJ+JK
= GJ+(HK-HJ)
= 4x+2+((6x-1)-x)
= 4x+2+6x-1-x
=
9x+1...(a)
Solve equation (a) and put the value of x in the equation:
=9(4)+1
=36+1
=37
find GH and JK=?
Given:
GK=37
Formula:
GH = GJ-HJ
= 4x+2- x
= 3x+2....(b)
Solve equation (a):
GK= 9x+1
37=9x+1
36=9x
x=4....(c)
put the value of equation (b) in equation (c)
GH = 3x+2
= 3(4)+2
= 12+2
= 14
Formula:
JK= HK-HJ
= 6x-1- x
= 5x-1
put the value of x in the above equation:
= 5(4)-1
= 20-1
=19
Does g(x)=(x-5)/x have a 5 in its domain?
G(X) = (X - 5)/X
Yes... The domain of G(X) can be any value, EXCEPT zero, because we cannot have a fraction with zero in the denominator
Formalizing the domain of this function: D = {X / X ≠ 0}
(for the sake of information, when X tends to zero, the function tends to +∞)
This is my homework and the last question confuses me,it's a simple sequence but I don't understand, could anybody help me out?
Answer:
already in order
Step-by-step explanation:
.00001, .0002, .003, .04, .5
Answer:
1^-5=1 2^-4 =6 3^-3=9 4^-2=8 5^-1=5
Step-by-step explanation:
All u have to do is focus on the negative sign!
There were 96 members in a club. The ratio of the number of female members to male members was 7:5. When 58 new members joined the club, the ratio became 5:6. How many of the new members were males?
Answer:bend
Step-by-step explanation:s s
please help i will give brainliest for whomever answers correctly A doctor sees 4 patients each hour. Use the equation y = 4x, where the y-value represents the many patients that the doctor may see in x hours. Graph, if necessary. How many patients will the doctor see in a 5-hour day?
Answer:
20 paitents
Step-by-step explanation:
In the word problem since x represents the number of hours all you have to do is plug in 5 for the x-value.
y = 4 (5)
once you do that, multiply 4 x 5 and you get 20.
A twelve-sided die with sides labeled through will be rolled once. Each number is equally likely to be rolled. What is the probability of rolling a number greater than ? Write your answer as a fraction in simplest form.
Complete Question:
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled, what is the probability of rolling a number greater than 10?
Answer:
[tex]P(T) = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
Number of Sides = 12
Required
Probability of obtaining a side greater than 10
We start by listing out the sample space;
[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex]
[tex]n(S) = 12[/tex]
Next, we list out digits greater than 10; Represent this with T
[tex]T = \{11,12\}[/tex]
[tex]n(T) = 2[/tex]
Probability of T is calculated as follows;
[tex]P(T) = \frac{n(T)}{n(S)}[/tex]
[tex]P(T) = \frac{2}{12}[/tex]
Divide the numerator and denominator by 2
[tex]P(T) = \frac{1}{6}[/tex]
Hence, the required probability is [tex]\frac{1}{6}[/tex]
Solve for x (please show work if possible)
F(x)= | x-4 | - 9, find f(-7)
Answer:
2
Step-by-step explanation:
Given
f(x) = | x - 4 | - 9, then
f(- 7) = | - 7 - 4 | - 9
= | - 11 | - 9 ( absolute value returns a positive value )
= 11 - 9
= 2
A can takes 20 minutes to cover a distance of
15 km calcolate its speed in km/hr
1 hour = 60 minutes.
20 minutes / 60 minutes = 1/3 of an hour.
20 minutes x 3 = 60 minutes = 1 hour
15 km in 20 minutes x 3 = 45 km per hour
Speed = 45 km/hr.
Answer:
[tex]\huge\boxed{v = 45\ km/hr}[/tex]
Step-by-step explanation:
Given:
Time = t = 20 mins = 20/60 = 0.33 hrs
Distance = S = 15 km
Required:
Speed = v = ?
Formula:
v = S/t
Solution:
v = 15 / 0.33
v = 45 km/hr
If the lines A and B are parallel then find the value of x
Answer:
Step-by-step explanation:
-12 divided by 3 times (-8 + (-4) squared -6) +2 please help
Answer:
Step-by-step explanation:
[tex]\frac{-12}{3} (-8+(-4)^{2} -6)+2[/tex]
-4(-8+16-6)+2
-4(2)+2
-8+2
-6
write in the exanded form 5614789236
5,000,000,000
600,000,000
10,000,000
4,000,000
700,000
80,000
9,000
200
30
6
Answer:
5.614789236 x 10^9.
Step-by-step explanation:
The exponent is 9 because there are 9 digits after the 5.
10. 5.8 - (0.25 X 1.5)
Just need 3 4 and 5 where 3.852 is thanks
Answer:
HOPE it will be right... Good luck
Venetta knows that ≈.. To convert 5 mi/h to km/h, she multiplies 5 mi/h by .. What error does Venetta make?
Answer: The km need to be over the mi.
Step-by-step explanation: The kilometers in this equation are supposed to be used as the denominator, and the miles as the numerator.
Km/mi