Answer:
Step-by-step explanation:
Move
2x-3
x2+4x+3
to the left side of the equation by subtracting it from both sides.
x+2
x2-9
+
x-3
x2-2x-3
-
2x-3
x2+4x+3
=0
Simplify
x+2
x2-9
+
x-3
x2-2x-3
-
2x-3
x2+4x+3
Mark me brainless
Answer: the sum is 5
Step-by-step explanation:
2 cities are 18 inches apart on a map and 30 miles apart in real life whats the scale factor used on the map.
Answer:
you're scale is 1.6666667
Step-by-step explanation:
because if you do 30 decided by 18 it gives u 1.6666667
Given the coordinates, determine whether PQR & XYZ are congruent
P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)
PQ=
XY=
QR=
YZ=
PR=
XZ=
Are the triangles congruent? If yes, explain your reasoning and write a congruence statement.
Answer:
The triangles are congruent
Step-by-step explanation:
Given
[tex]P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)[/tex]
Required
Determine if PQR = XYZ
To do this, we make use of distance formula.
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For PQ:
[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (-3,7)[/tex]
So:
[tex]PQ = \sqrt{(-3-5)^2+(7-(-4))^2}[/tex]
[tex]PQ = \sqrt{(-8)^2+(7+4)^2}[/tex]
[tex]PQ = \sqrt{(-8)^2+(11)^2}[/tex]
[tex]PQ = \sqrt{64+121}[/tex]
[tex]PQ = \sqrt{185}[/tex]
For XY:
[tex](x_1,y_1) = (-2,-1)[/tex]
[tex](x_2,y_2) = (9,7)[/tex]
So:
[tex]XY = \sqrt{(9-(-2))^2+(7-(-1))^2}[/tex]
[tex]XY = \sqrt{(9+2)^2+(7+1)^2}[/tex]
[tex]XY = \sqrt{(11)^2+(8)^2}[/tex]
[tex]XY = \sqrt{121+64}[/tex]
[tex]XY = \sqrt{185}[/tex]
For QR:
[tex](x_1,y_1) = (-3,7)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]
So:
[tex]QR = \sqrt{(0-(-3))^2 + (2-7)^2}[/tex]
[tex]QR = \sqrt{(0+3)^2 + (-5)^2}[/tex]
[tex]QR = \sqrt{(3)^2 + 25}[/tex]
[tex]QR = \sqrt{9 + 25}[/tex]
[tex]QR = \sqrt{34}[/tex]
For YZ:
[tex](x_1,y_1) = (9,7)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]
So:
[tex]YZ = \sqrt{(3-9)^2+(2-7)^2}[/tex]
[tex]YZ = \sqrt{(-6)^2+(-5)^2}[/tex]
[tex]YZ = \sqrt{36+25}[/tex]
[tex]YZ = \sqrt{61}[/tex]
For PR:
[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]
So:
[tex]PR = \sqrt{(0-5)^2+(2-(-4))^2}[/tex]
[tex]PR = \sqrt{(-5)^2+(2+4)^2}[/tex]
[tex]PR = \sqrt{(-5)^2+(6)^2}[/tex]
[tex]PR = \sqrt{25+36}[/tex]
[tex]PR = \sqrt{61}[/tex]
For XZ:
[tex](x_1,y_1) = (-2,-1)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]
So:
[tex]XZ = \sqrt{(3-(-2))^2+(2-(-1))^2}[/tex]
[tex]XZ = \sqrt{(3+2)^2+(2+1)^2}[/tex]
[tex]XZ = \sqrt{5^2+3^2}[/tex]
[tex]XZ = \sqrt{34}[/tex]
From the calculations above:
[tex]PQ = XY = \sqrt{185[/tex]
[tex]QR = XZ = \sqrt{34[/tex]
[tex]PR = YZ = \sqrt{61[/tex]
Hence, the triangles are congruent base on SSS (Sides- Sides-Sides)
Rick purchases guitars wholesale for 60$ and then marks them up 150% before selling them online. How much doea Rick sell his guitars for?Real Answers Only
Answer:
Rick sells each guitar for 90$
X= What does ×= 88, 89 or 90
For a submarine cable, the range of signalling is governed by the function
f(r) = r^2 ln(1/r)
where 0
Find df/dr.
Answer:
[tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]
Step-by-step explanation:
Explanation
Given function f(r) = r² log r ....(i)
Apply derivatives formula
[tex]\frac{d}{dx} UV = U^{l} V + V^{l} U[/tex]
[tex]\frac{d}{dx}x^{n} = nx^{n-1}[/tex]
[tex]\frac{d}{dx}log x = \frac{1}{x}[/tex]
Differentiating equation (i) with respective to 'r' , we get
[tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )\frac{d}{dr} (\frac{1}{r } )+ log(\frac{1}{r} ) 2 r[/tex]
[tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )(\frac{-1}{r^{2} } )+ log(\frac{1}{r} ) 2 r[/tex]
Final answer:-
[tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]
Dan is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dan wants to get 83 balloons, how many yards of string will he need?
Answer:
I would think its 249 because 9 divided 3= 3 because 3 feet is 1 yard and then you do 83x3 and then you get 249.
Step-by-step explanation:
How can you rewrite -8 -− 10 as an addition problem?
A:-8- -10
B -8+10
C-8+18
D-8+ -18
Answer:
B. -8+10
Step-by-step explanation: keep the -8 change - sign to +sign then change -10 to 10 .
Hope it helps :)
Rita is hiking along a trail that is 14.8 miles long. So far she has hiked along one-tenth of the trail.
How far has Rita hiked?
Answer:
1.48 miles
Step-by-step explanation:
If the trail is 14.8 miles and Rita has hiked 1/10 of it. Then just multiply 14.8 by 1/10.
14.8 * 1/10 = 1.48 miles.
Answer:
1.48
Step-by-step explanation:
I know the answer is correct
What is the value of the expression 30 X 5 + 6 X 4
will give brainliest
Answer:
174
Step-by-step explanation:
Answer:
30 × 5 + 6 × 4= 150 + 24= 174Step-by-step explanation:
I hope it helps ❤❤Please help me with this question
Answer:
11/4
29/6
32/5
Step-by-step explanation:
Answer: 11/4, 29/6, 32/5
Step-by-step explanation:
This is going to help trust me
Consider the functions f(x) = (4/5)x and g(x) = (4/5)x + 6. What are the ranges of the two functions?
f(x): {yly >____}
g(x): {yly >____}
Answer:
0
6
Step-by-step explanation:
<3
The ranges are:
f(x): {y | y ≤ infinity}
g(x): {y | y ≤ infinity}
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
For the function f(x) = (4/5)x, any input value of x will be multiplied by 4/5 and produce a corresponding output value y.
Since the fraction 4/5 is less than 1, the output values of f(x) will always be smaller than the input values of x.
Therefore, the range of f(x) will be all real numbers less than or equal to the greatest possible output value.
The greatest possible output value will occur when x is the greatest possible input value, which is infinity. So, the range of f(x) is:
f(x): {y | y ≤ infinity}
For the function g(x) = (4/5)x + 6, any input value of x will be multiplied by 4/5, then 6 will be added to the result to produce a corresponding output value y.
The fraction 4/5 is less than 1, so the output values of g(x) will always be less than the input values of x plus 6.
Therefore, the range of g(x) will be all real numbers less than or equal to the greatest possible output value, which occurs when x is infinity. So, the range of g(x) is:
g(x): {y | y ≤ infinity}
To learn more about the function;
brainly.com/question/28303908
#SPJ7
SOMEONE PLEASE PLEASE HELP ME ON THIS!!
X=22
14 plus 8 gives you x
[tex]\frac{x}{20} =\frac{14}{8} \\x=\frac{14}{8} \times 20=35[/tex]Answer:
35
Step-by-step explanation:
please anwser this for me!!
Answer:
No
Step-by-step explanation:
The relation given as represented by the table of values is definitely not a function. This is because, 1 domain value (x-value), is having two range values (y-values), 2 and 5, that are assigned to it.
A function cannot have two y-values assigned to one x-values.
Work out 5/7
of 100.
Give your answer correct to the nearest whole number.
Answer: 71
Step-by-step explanation: 100x (5\7) = 71.4
Answer:
71.5
Step-by-step explanation:
5/7 of 100=(5×100)÷7=500÷7=71.5
Simplify:1/5 + (-2/3)?
Answer:
SOOOOOO
Step-by-step explanation:
YOU MAKE IT 1/5 + -2/3
INTOOO
3/15+-10/15
THENNNN
YOU ADD THEMMM
AND UU GETTTT
-7/15
SOOO THAT UR ANSWER ITSS A THE FIRST ONE
-7/15
4y-1=2(y-2)
Solve for y
Answer:
y= -3/2
Step-by-step explanation:
Which Figure has a line sysmmetry F,H,J,L,R
Answer:
njnjfsdnjfe
Step-by-step explanation:
Answer:
we cant see
Step-by-step explanation:
3x3z−6z for z=5 solve pllllsslssss
What is the density of the glass in 2.5 g/cm in kg/m
We are given:
Density of glass in g/cm³ = 2.5
Finding the density in kg/m³:
In converting 2.5 g/cm³ to kg/m³, we will first convert the g to kg
Converting the g to kg:
2.5 g/cm³ * 1
Since 1kg = 1000g, 1kg/1000g = 1
2.5 g/cm³ * 1kg / 1000g
the g in the numerator and the denominator will cancel out and we will get:
2.5 kg / 1000 cm³
Converting the cm³ to m³:
We know that 1 m³ = 10⁶ cm³
So, 10⁶ cm³ / 1 m³ = 1
Multiplying the density by 1
2.5 kg / 10³ cm³ * 1
2.5 kg / 10³ cm³ * 10⁶ cm³ / 1 m³
the cm³ in the numerator and the denominator will cancel out
2.5 * 10⁶ kg / 10³ m³
2.5 * 10³ * 10³ kg / 10³ m³
2.5 * 10³ kg / m³
2500 kg/m³
mang pedro has 20 kilogram of rice.he will repack it in 1/2 kilograms per bag.how many bags will he need?
Answer:
20,since each kilo of rice fills two bags so he i'll have 40 bags.
PLEASE HELP ME I NEED HELP PLEASE HELP
PLEASE GIVE THE ANSWER UNDER THE QUESTION AND RATIO
Answer:
6. 225 feet in 3 minutes = 75 feet in 1 minute (slower)
360 feet in 5 minutes = 72 feet in 1 minute
7. $4 for 5 ounces = $0.80 for 1 ounce (most expensive)
$14 for 20 ounces = $0.70 for 1 ounce
8. 72 people in 6 hours = 12 people in 1 hour
117 people in 9 hours = 13 people in 1 hour (greater rate per hour)
Answer:
A = 369 feet in 5 minutes B = $4 for 5 ounces C = 117 people in 9 hours
Identify the constant of Proportionality Write an equation to relate weight, w, to the price, p.
Answer:
m = .45
p = .45w
______
.45 = 9/20
Explanation:
m is the rate of change equal to the price over the weight or p/w.
Because this relationship is proportional, each weight divided by its corresponding price must equal the same fraction because it is constant.
We can prove this by dividing each price by its weight to find this proportion.
1.35/3 = 2.7/6 = 27/60 = 9/20 = 0.45
1.71/3.8 = 171/380 = 9/20 = 0.45
2.34/5.2 = 234/520 = 117/260 = 9/20 = 0.45.
Since equal the same value, this means that 9/20 or .45 is our proportion.
in terms of p = mw
p/w = 9/20.
p = mw → p/w = m → m = p/w = .45 .
Thus, p = .45w,
so m = .45.
Which means that for every .45 or 9/20 w or weight, there is a price of $1.
I don’t know this someone help
Answer:
yes what that guy said is right
-2(7-15)
What is the value of
?
4
O 4
0 -2
O 2
O 4
Given the equation in point slope form y-5=1/2(x+1)
Answer:
The slope of this equation is 11/2. The point is (1/2, 0)
Step-by-step explanation:
I hope this is the right answer, good luck!
M +2m + 3 for m = 12
What’s thatta
Answer:
39
Step-by-step explanation:
12+2×12+3
12+24+3
36+3
39
PEMDAS
Please help! Question posted above ^
Answer:
( x^2 - 6 )^2
Step-by-step explanation:
x^4 -12x^2 +36Find one factorFactor by grouping(x^2 - 6x) (x^2 - 6x)*solution* ( x^2 - 6 )^2
What is the distance from –8 to 4 on a number line?
Answer:
13 away
i used my fingers
Answer:
12
Step-by-step explanation:
-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4
Just count he bottom lines
summer babysitting. She decided
to put this money in a bank that
earns a 5% simple interest rate.
How many years will it take to
double her initial deposit?
A) 10 years
B) 12 years
C) 15 years
D) 18 years
E) 20 years
Answer: B.12 years
Step-by-step explanation:
I am once again asking for your help with solving this problem.
Answer:
llll, Vl, Vll
Step-by-step explanation: