Answer: 21, 28
Step-by-step explanation:
Side #1 = xSide #2 = x + 7Hypotenuse = 35Use the Pythagorean Theorem [tex]a^{2}+b^{2}=c^{2}[/tex]:
a = xb = x + 7c = 35Substitute in the values & solve:
[tex]x^{2}+(x+7)^{2}=35^{2}\\x^{2}+x^{2}+14x+49=1225\\2x^{2}+14x+49-1225=0\\2x^{2}+14x-1176=0\\2(x^{2}+7x-588)=0\\2(x + 28)(x - 21)=0\\x_{1}=-28, x_{2}=21[/tex]
-28 is not a possible solution since you can't have negative inches...
a = x = 21b = x + 7 = 21 + 7 = 28c = 353 Nine children share out cqually the chocolates in a large tin and it
cight cach. If there were only six children, how many would each get
if the parent function is y=3^x, which is the function of the graph?
1) y=3^(x-4)-2
2) y=3^(x+4)+2
3) y=3^(x-4)+2
4) y=3^(x+4)-2
Which are correct Representation of the any quality 6x>_3+4(2x-1)?select three options
Answer:
1) 1 ≥ 2·x
2) 6·x ≥ 3 + 8·x - 4
3) 1/2 ≥ x The third option and the first number line inequality diagram, please see attached drawing of the number line created with MS Visio
Step-by-step explanation:
The given inequality is presented as follows;
6·x ≥ 3 + 4·(2·x - 1)
By expanding the right hand side of the inequality, we get;
6·x ≥ 3 + 8·x - 4
4 - 3 = 1 ≥ 8·x - 6·x = 2·x
∴ 1 ≥ 2·x
1/2 ≥ x
Therefore, the correct options are;
1) 1 ≥ 2·x
2) 6·x ≥ 3 + 8·x - 4
3) 1/2 ≥ x The third option and the first number line inequality diagram
The table shows information about water used in a household.
The value for April is missing.
The mean monthly water used for the six months is 18 m
Work out the value for April.
Answer:
is there is no value of April
Step-by-step explanation:
so the value of the month April is zero
-10ab(13c) what is the answer
Answer:
Answer:[tex]13c = 65 \ \ c = \frac{65}{13} \ \ c = 5[/tex] More
write
25 x 10^6
in standard form
Answer:
2.5 * 10⁷
Step-by-step explanation:
25 * 10⁶ 2.5 * 10 * 10⁶2.5 * 10⁷Answer:
25,000,000
Step-by-step explanation:
Review your answers to Question 4. What happens to the coordinates of a shape when the shape reflects about the line y = x? Explain.
Answer:
The x and y coordinates swap position
Step-by-step explanation:
Given
Reflection across: [tex]y = x[/tex]
Required
What happens to the coordinate
When a point is reflected about [tex]y = x[/tex], the x and y coordinates swap position
i.e.
[tex](x,y) \to (y,x)[/tex]
Answer:
When the shape reflects about the line y = x, the x-coordinate and the y-coordinate of each point are swapped.
Step-by-step explanation:
The water level of a pond drops an inch every 12 days without rain. How
many days will it take the pond's water level to drop by 11 inches?
Answer:
1 to 7 days
Step-by-step explanation:
¿cual es el porcentaje de ganancia de un comerciante que vende a $4600 un producto que compró a $4000?(con desarrollo)
Respuesta:
15%
Explicación paso a paso:
Dado :
Precio de compra = $ 4000
Precio de venta = $ 4600
El beneficio obtenido por la venta del artículo:
Precio de venta - precio de compra
$ (4600-4000) = $ 600
El porcentaje de beneficio obtenido:
Beneficio / precio de compra * 100%
600/4000 * 100%
600/4000 * 100%
0,15 * 100%
= 15%
Two men p and q set off from a base camp r prospecting for o,p moves 40km on a bearing 205 degree and q moves 30km on a bearing of 060 degree
a. Find the distance of q from p
b. The bearing of q from p
Answer:
(a) By cosine rule, /PQ/2=202+152−2×20×15×cos145°
= 400+225−600cos145°
= 625+600×0.8192
= 491.52+625
/PQ/2=1116.52⟹/PQ/=1116.52−−−−−−√=33.41
≊33km ( to the nearest whole number)
(b) By sine rule,
sin<QPR15=sin14533.41
sin<QPR=15sin14533.41
sin<QPR=15×0.573633.41=0.2575
<QPR=14.92°
∴ Bearing of Q from P = 25° + 14.92° = 39.92°.
≊40° (to nearest whole number)
Step-by-step explanation:
hope it helps
...
hi can you help me in mate plis
simplify the following algebraic expressions
Answer:
3b
Step-by-step explanation:
[tex]\dfrac{24a^2b^4c^3}{8a^2b^3\sqrt[3]{c^9}} =[/tex]
[tex] = 3a^{2 - 2}b^{4 - 3} \times \dfrac{c^3}{c^\frac{9}{3}} [/tex]
[tex] = 3a^{0}b^{1} \times \dfrac{c^3}{c^3} [/tex]
[tex] = 3bc^{3-3} [/tex]
[tex] = 3bc^{0} [/tex]
[tex] = 3b [/tex]
Please help. I am really stuck on this little problem. I need to find the domain and Range for this graph.
Answer:
This isn't the answer but if you can take a pic of this and put it in this app called "Math-way" or "Photo-math" those help me
Which equation could be used to solve for the value of n if n + 2 = 6?
O2 + 6 = n
O 2-6 =n
O 6 +2=n
06-2=n
d
Step-by-step explanation:
6-2=n will be used because when 2 goes to other side then positive sign turns to negative sign
The cost of having a window fixed is $175 plus $30 per hour of labor. Using h for the number of hours of labor, write an expression that represents the total cost.
Answer:
175 + 30h
Step-by-step explanation:
Hope this helps
Answer:
total cost = 175+30h
Step-by-step explanation:
Total cost = fixed cost + cost per hour * hours
total cost = 175+30h where h is the number of hours
Jul 02, 10:37:22 AM
Drag the numbers below to put them in order from least to greatest:
9.58 9.558 9.62 9.7 9.691 9.592
Answer: 9.558, 9.58, 9.592, 9.62, 9.691, 9.7
Step-by-step explanation:
Answer:
9.7 9.58 9.62 9.558 9.592 9.691
Question 23 (5 points)
If a leg of a right triangle is 7 units and the hypotenuse is 25 units, what's the length
of the other leg?
1024 units
25.96 units
24 units
324 units
the answer is 1024 because 7²+25²=b²
factor out the square which gives you
(7+25)²=b²
32²=b²
squaring 32 gives 1024
Answer:
24 units
Step-by-step explanation:
i just took the quiz
PLEASE HELP.
if v1….
Three less than 3 times a number, n, is
19 more than twice the number. What
is the number?
А
17
B
19
21
D 22
The equation is:
3n - 3 = 2n + 19
=> 3n - 2n = 19 + 3
=> n = 22
So, the answer is 22.
Given that a:b = 4 : 5 and a : c = 3 : 4,find the ratio of 5b : 3c
Answer:
5b: 3c = 25 : 16
Step-by-step explanation:
[tex] \frac{a}{b} = \frac{4}{5} \: and \: \frac{a}{c} = \frac{3}{4}[/tex]
dividing both to get a : c
[tex] \frac{a}{b} \times \frac{c}{a} = \frac{4}{5} \times \frac{4}{3} \\ \frac{c}{b} = \frac{16}{15} \\ [/tex]
inverting the fractions
[tex] \frac{b}{c} = \frac{15}{16} [/tex]
multiplying the numerator by 5 and denominator by 3
[tex] \frac{5b}{3c} = \frac{5 \times 15}{3 \times 16} \\ = \frac{75}{48} \\ = \frac{25}{16} [/tex]
therefore,
5b: 3c = 25 : 16
Which of the following represents the factorization of the polynomial function
graphed below? (Assume it has no constant factor.)
o
A. y - (x - 1)(x+3)
B. y - (x + 1)(x+3)
O
C. y = (x - 1)(x-3)
Answer:
c: y=(x-1)(x-3)
Step-by-step explanation:
somebody help me please
Answer:
x=-4
Step-by-step explanation:
:Distribute 2 to 9.7 and -4.8x
3.4+19.4-9.6x=61.2
:combine 3.4 and 19.4
22.8-9.6x=61.2
: subtract 22.8 from both sides
-9.6x=61.2-22.8
:divide both sides by -9.6
-9.6x/-9.6=38.4/-9.6
x=-4
What is the result of converting 60 ounces to punds remember there are 16 ounces in a pound pleasdnsjjsjs
Answer:
A. 3.75 pounds
Step-by-step explanation:
16 ounces = 1 pound
converting 60 ounces to pounds
Let x = number of pounds
60 ounces = x pounds
Find the proportion
16 / 1 = 60 / x
Cross product
16 * x = 1 * 60
16x = 60
Divide both sides by 16
x = 60/16
x = 3.75
Therefore,
60 ounces = 3.75 pounds
One number is 9 times another. Their product is 27 times their sum. Find the numbers.
the answer is not 3 btw
Answer:
270 & 30
Step-by-step explanation:
let the number is n,
the equation :
n× 1/9 n= 27(n +1/9 n)
1/9 n² = 27n + 3n
1/9 n² = 30n
1/9n²- 30n = 0
n(1/9n -30)= 0
n = 0 or
1/9n = 30 => n = 30×9 = 270
270 is a number,
the other : 270/9 = 30
Helppppp and explain pls and thankyouuu
Answer: B
Step-by-step explanation:
multiply all the the sales by 11% and you will get the answers in option b
ex: 1300*0.11=143
I need some one to help me!!
Is (7, 0) a solution to the equation y = x − 7?
Answer:
Yes
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCoordinates (x, y)
Step-by-step explanation:
Step 1: Define
Identify
Point (7, 0)
Equation y = x - 7
Step 2: Find
Substitute in point [Equation]: 0 = 7 - 7Subtract: 0 = 0Since 0 = 0 is true, then it would be a solution to the equation.
Can someone please help me really struggling
Answer:
your y-intercept is 5 and your slope is 1 hope this helps with translating into the form you want
Step-by-step explanation:
(06.01)Four graphs are shown below: Which graph represents a negative linear association between x and y?
Answer:
Step-by-step explanation:
A negative linear association between x and y means that as x increases, y decreases at the same rate, creating a line with a negative slope. This line will tend from upper left to lower right. 2 of those graphs tend from upper left to lower right, but only one of them is a linear representation. That is graph D.
Juan compró un led TV en cuotas que costó $ 76.000=. Si le falta pagar 3 cuotas y ya pagó $ 47.000, ¿Cuál es el valor de cada cuota fija?
Respuesta:
$ 9666. 67
Explicación paso a paso:
Costo de TV = $ 76,000
Número de cuotas = 3
Monto ya pagado = $ 47000
Amontof cada cuota fija = Cantidad que queda por pagar / 3
Cantidad que queda por pagar = Costo de TV - Cantidad ya pagada
Cantidad que queda por pagar = $ (76000 - 47000) = $ 29000
Monto de cada cuota fija = $ 29000/3 = $ 9666. 67
A company is selling specialty ice cream. Their profit is modeled by the equation p(x) = x2 + 3, where x represents the number of cartons sold. Their cost to make the carton is represented by c(x) = -3x + 24, where x represents the number of cartons produced.
A. What does it mean to find the solution to this system?
B. What is the solution to the system? How did you find the solution?
C. What does the solution mean in context of the problem?
D. How do you solve this system when x does not stand for the same thing? What system are you referring to?
Answer:
The given function for the profit of the company is p(x) = x² + 3
The function for the cos of the company, c(x) = -3·x + 24
Where;
x = The number of cartons sold
A. To find the solution of the system means to find the number of cartons sold at which the profit and cost are equal
B. The solution of the system can be found by equating both functions as follows;
p(x) = c(x)
Therefore;
x² + 3 = -3·x + 24
∴ x² + 3 + 3·x - 24 = 0
x² + 3·x - 21 = 0
x = (-3 ± √(3² - 4×1×(-21)))/(2 × 1)
∴ x = (-3 ± √(93))/2
x = (-3 + √(93))/2 ≈ 3.32 or x = (-3 - √(93))/2 ≈ -6.32
Therefore, the possible solution is x = (-3 + √(93))/2 ≈ 3.32
C. The solution means that when the company sells about 3 cartons of specialty ice, the cost to make the carton and the profit from selling the cartons will be approximately equal
D. Part 1
To solve the system, we rewrite the functions using common variables, to obtain a consistent system of equations
Part 2 Inconsistent system of equations
When x does not stand for the same thing in both equations, we have an inconsistent system of equations and there are no solutions
Step-by-step explanation:
Solve the equation: (1 - 2x)(1 - 3x)=(6x - 1)x - 1
Answer:
x=0.5 or 1/2
Step-by-step explanation: