On the grid below draw a right triangle
with vertices at P(2, 4), Q(7, 9), and
R(10,6). what is the lengths of the three sides to the nearest tenth.
Answer: See attached image for graph
PQ: √50
QR: √18
PR: √68
Step-by-step explanation: We will use the 2D distance formula in order to get each side length. The distance formula is:
distance = √(x₂-x₁)² + (y₂-y₁)²Thus, we just apply this formula for each side length.
Please can someone help me
Answer:
x = 19 and
y = 3
Step-by-step explanation:
40 + 8sqrt(x) - 5sqrt(x) - (sqrt x)^2 = y(sqrt x) + 21
40 + 3sqrt(x) - x = y (sqrt x) + 21
3sqrt(x) = y (sqrt x)
y = 3
40 - x = 21
40 - 21 = x
x = 10
he ratio of the interior angle measures of a triangle is 2:3:5. What are the angle measures?In order from the smallest angle to the largest angle, the angle measures are°,°, and°.
Answer:
Step-by-step explanation:
Ratio of angles = 2 : 3 :5
Angles are 2x , 3x , 5x
Sum of all angles of triangle = 180
2x +3x + 5x = 180
10x = 180
x = 180/10
x = 18
2x = 2*18 = 36
3x = 3*18 = 54
5x = 5*18 = 90
Smallest to largest
36 , 54 , 90
Answer:
36°, 54°, and 90°
Step-by-step explanation:
The sum of interior angles of a triangle = 180
Remember: The sum of the interior angles = (number of sides - 2)(180)
2:3:5 means 2x:3x: 5x
2x + 3x + 5x = 180
10x = 180
x = 18
The angles are 2(18) = 36°
3(18) = 54°
518) = 90°
The table shows the cost of some apples. Which function ƒ(x) is represented in the table?
A)
ƒ(x) = 2x + 2
B)
ƒ(x) = 0.5x
C)
ƒ(x) = 0.5x + 2
D)
ƒ(x) = 2x
Answer:
D) f(x) = 2xStep-by-step explanation:
The ordered pairs from the table:
(1, 2), (2, 4), (3, 6)Find the slope:
m = (4 - 2)/(2 - 1) = 2Find the y- intercept:
2 = 2*1 + b ⇒ b = 0The function is:
f(x) = 2xCorrect choice is D
Take any two pairs
(1,2)(3,6)Slope
m=6-2/3-1m=4/2m=2Equation in point slope form
y-2=2(x-1)y-2=2x-2y=2xHello everyone!
[tex] \huge \tt\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }[/tex]
Can someone try to do this question using the derivative rule for quotient? No spam please!
Hello Carousel!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \huge \tt\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) } \\ [/tex]
To start solving this question, note that ⇨ for any 2 differentiable functions, the derivative of the quotient of the 2 functions will be the denominator multiplied by the derivative of the numerator minus the numerator again multiplied by the derivative of the denominator whole divided by the denominator². By doing all these steps, we'll get it as..
[tex]\frac{\left(x^{1}-5\right)\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}-2)-\left(3x^{2}-2\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-5)}{\left(x^{1}-5\right)^{2}} \\ [/tex]
Remember that the derivative of the polynomial will be the sum of the derivatives of its terms. We know that, the derivative of a constant term is 0 & the derivative of [tex]ax^{n}[/tex] is [tex]nax^{n-1}[/tex]. So..
[tex]\frac{\left(x^{1}-5\right)\times 2\times 3x^{2-1}-\left(3x^{2}-2\right)x^{1-1}}{\left(x^{1}-5\right)^{2}} \\ [/tex]
Now, simplify it..
[tex]\frac{\left(x^{1}-5\right)\times 2\times 3x^{2-1}-\left(3x^{2}-2\right)x^{1-1}}{\left(x^{1}-5\right)^{2}} \\ = \frac{\left(x^{1}-5\right)\times 6x^{1}-\left(3x^{2}-2\right)x^{0}}{\left(x^{1}-5\right)^{2}} \\ = \frac{x^{1}\times 6x^{1}-5\times 6x^{1}-\left(3x^{2}x^{0}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{1+1}-5\times 6x^{1}-\left(3x^{2}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{2}-30x^{1}-\left(3x^{2}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{2}-30x^{1}-3x^{2}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{\left(6-3\right)x^{2}-30x^{1}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{3x^{2}-30x^{1}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{3x^{2}-30x-\left(-2\right)}{\left(x-5\right)^{2}} \\ = \large \boxed{\boxed{ \bf \frac{3x^{2}-30x + 2}{\left(x-5\right)^{2}} }}[/tex]
You can further simplify the answer to [tex]\underline{\underline{\frac{146}{\left(x-5\right)^{3}}}}\\[/tex]__________________
Hope it'll help you!
ℓu¢αzz ッ
1.235 X 10
HELP PLEASE
Answer:
12.35
Step-by-step explanation:
Answer:
12.35
Step-by-step explanation:
Can the sides of a triangle have lengths 3, 3, and 9?
Answer:
No, the sum of the lengths of ANY 2 sides must be greater than the lengths of this 3rd side.
Step-by-step explanation:
Simplity using properties of exponents. Write your answer using a
single whole number exponent and the same base as given in the
expression below.
Simplifying Expressions Using the Properties of Exponents (Four Examples)Daniel Ozimek
Evaluate x(y+3)/(3+y)z for x = 2, y = 5, and z = 1.
4
3
2
1
Answer:
2
Step-by-step explanation:
hope this helps
Predict the missing component of each reaction.
MgO + ? → Mg(OH)2
2MgO → ?
A. 2Mg + H2O
B. 2Mg + O2
C. MgOH + O2
D. MgO + O2
Answer:
In the first equation, it's H20 but the second is B
2Mg + 2O2
here are the answers for both questions on this slide as of edge 2021, the 2nd is the one asked here.
1. 2KClO3 → 2KCl + ?
2Na + Cl2 → ?
A.) 2NaCl
2. MgO + ? → Mg(OH)2
2MgO → ?
B.) 2Mg + O2
Here is a list of numbers:
8.4, 8.6, 7, 7.6, 2.4, 9.7, 5.8, 5.2, 3.3
State the median.
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
arrange the numbers in the other of magnitude
:
2.4,3.3,5.2,5.8,7,7.6,8.4,8.6,9.7
then check for the middle number(s)
median = 7
For each Given function value, write a corresponding ordered pair
f(3)=6
g(0)=-1/2
Please Explain
Answer:
(3, 6)
(0, -1/2)
Step-by-step explanation:
in a function like f(x)
The f() represents the function and the x represents the x value you plug into the function. f(x) is the same as the y value, it is just used to show what the y value would be at a certain x value for that function
_____
f(3) = 6 means when the function f is at x = 3, the function, f = 6.
so it would be (3, 6)
g(0) = -1/2 means the function g is at x = 0, the function, f = -1/2.
so it would be (0, -1/2)
what the frige please help
Answer:
Your answer is A, 3x - 2x.
Step-by-step explanation:
Triple a number means to multiply it by 3.
Double a number means to multiply it by 2.
Difference means to subtract.
Hope this helps!
Answer:cim not sure tho
Step-by-step explanation:
There are 4 squares and 10 circles. What is the simplest ratio of squares to circles?
Answer:
2.5
Step-by-step explanation:
PLEASE HELP ME!! I’ll give brainliest!!
Rena sells candles. The graph shows the number of candles sold and the
income from the sales. It represents a linear function.
Which statement best describes Rena's income from selling these candles?
A. She gets $6 per candle.
B. She gets $6.50 per candle.
C. She sells 6 candles per dollar.
D. She sells 6.5 candles per dollar.
Answer:
B.) She gets $6.50 per candle.
Step-by-step explanation:
19.5 (the price of 3 candles) divided by 3 is 6.5.
Express each number in scientific notation.
a) 1 300 000 c) 882 500 000
b) 12 500 d) 51 670 000
Answer:
1.3 x 10^6
8.825 x 10^8
1.25 x 10^4
5.167 x 10^7
Step-by-step explanation:
6. Nathan buys packages of bacon. This chart shows the numbers of
packages and the total cost to ship.
Number of Packages Shipping Cost
()
1
$8
2
$16
3
$24
4
$32
Which statement is true?
A The data is proportional, and the unit rate is $8 per package.
B. The data is not proportional, and the unit rate is $8 per package.
C. The data is proportional, and the unit rate is 8 packages per dollar.
D. The data is not proportional, and the unit rate is 8 packages per
dollar.
Answer:
A The data is proportional and the unit rate per package is $8 This is because y= 8x
Step-by-step explanation:
/y relationship is no of packages = 1 x/ = total cost to ship = 8 = 8/1 = 16/2 = 24/3 = 32/4 means they are all proportional to 8/1 = 8 y = 8x see graph attached
What is the slope-intercept equation
for the following line?
Answer:
y = - x + 1
Step-by-step explanation:
Slope = 2/-2 = -1
y-intercept: 1
y = -x + 1
Answer:
y = -x + 1
Step-by-step explanation:
Given the points (2, -1) and (0, 1):
Let (x1, y1) = (2, -1)
(x2, y2) = (0, 1)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = [1 - (-1)] /(0 - 2)
m = (1 + 1)/ -2
m = 2/-2 = -1
Therefore, the slope, m = -1.
Next, the y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.
The ordered pair, (0, 1) represents the y-intercept. Its y-coordinate is the value of b = 1.
Therefore, the linear equation of the graph in slope-intercept form is:
y = -x + 1
Need help ASAP
16. What is f(-1)
Answer:
y = 0
Step-by-step explanation:
READ THE GRAPH. If X = 1, then Y = 0. have a nice day
Answer:
f(- 1) = 3
Step-by-step explanation:
locate x = - 1 on the x- axis, go vertically up to meet the graph at (- 1, 3 ) , so
when x = - 1, then y = 3 , that is
f(- 1) = 3
CAN SOMEBODY HELP MEEEE I AM SO BAD AT MATH 5 to the power for 7 times 15 minus 8 minus 5
Answer:
[tex]1,171,862[/tex]
Step-by-step explanation:
Original equation: [tex]5^7 * 15-8-5[/tex]
Remember the PEMDAS rule --> in this case the exponents are first.
[tex]5^7[/tex]= 5*5*5*5*5*5*5 = 78,125
= [tex]78,125*15-8-5[/tex]
The next step to this problem is multiplication because you are starting from left to right and its after the exponents.
= [tex]1,171,875-8-5[/tex]
The last 2 steps is to subtract (from left to right)
= [tex]1,171,867-5[/tex]
= [tex]1,171,862[/tex]
Hope this helps!!!
lee Hoskins: Attempt 1
A tennis racket with a price of $180 is subject to a sales tax of 7%. What is the total
price of the racket?
$192.60
$187
6. What might be the opportunity cost of a large portion of your income going toward credit
card payments each month?
120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]
Answer:
115.248
Step-by-step explanation:
120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]
120−96×[5 ÷ {23 − 3 × (-26)}]
120−96×[5 ÷ {101}]
120−96×[0.0495]
115.248
Just remember PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
For brainily please help
Answer:
Yes, these create an isosceles triangle, where two sides are equivalent
MATH if someone can please help that would be amazing thank you!
Jennifer has 84.5 yards of fabric to make. She makes 6 identical curtains and has 19.7 yards of fabric remaining. How many FEET of fabric does Jennifer use per curtain?
Answer: 118.2
Step-by-step explanation:
Best answer gets brainliest!
Whats the question to my answer?
Answer: pickle
Whats the question?
(u can make up what the question is theres no real answer)
Answer:
If I give you a nickel, what am I wanting you to tickle? my ____
Step-by-step explanation:
if Ax and 60b 30c find its unknown sizes of angle
Step-by-step explanation:
3360832553 pass wZE2XQ
WILL GIVE BRAINLIEST!!!
Distributive property quick check. Simplify: 1/2 (6z+10). Simplify: 10(5+2x). Simplify: 3(5y+6)-4. Simplify: (3a+2)(4).
Answer:
1: 3z+5
2: 50+20x
3: (15y+18)-4
4: 12a+8
When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12.
What is the equation relating these two quantities?
How many inches would a 3.5-foot object measure?
inches
How many feet would a 27-inch object measure?
Step-by-step explanation:
wow, how complicated can one phrase this ...
the point being :
1 ft = 12 in and vice versa (1 in = 1/12 ft)
so, any measurements given in feet but needed in inches need to be multiplied by 12.
and any measurements given in inches but needed in feet need to be divided by 12.
so,
3.5 ft = 3.5×12 = 7/2 × 12 = 7×6 = 42 in
27 in = 27/12 = 9/4 = 2 1/4 or 2.25 ft
Answer:When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12.
What is the equation relating these two quantities?
✔ m = 12f
How many inches would a 3.5-foot object measure?
✔ 42
inches
How many feet would a 27-inch object measure?
✔ 2.25
feet
Step-by-step explanation: