Answer:
749
Step-by-step explanation:
Break apart the equation:
(7 x 100) + (7 x 7)
7 x 100 = 700
7 x 7 =49
700 + 49 = 749
Hope this helps
The line l is tangent to the circle with equation x² + y2 = 169 at the point P.
By thinking about the radius or otherwise, determine the gradient of the line l.
Given:
The equation of a circle is
[tex]x^2+y^2=169[/tex]
A tangent line l to the circle touches the circle at point P(12,5).
To find:
The gradient of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is
[tex]m_1=\dfrac{5-0}{12-0}[/tex]
[tex]m_1=\dfrac{5}{12}[/tex]
We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.
[tex]m\times m_1=-1[/tex]
[tex]m\times \dfrac{5}{12}=-1[/tex]
[tex]m=-\dfrac{12}{5}[/tex]
Therefore, the gradient or slope of the tangent line l is [tex]-\dfrac{12}{5}[/tex] .
What is / are the coefficients in this expressions? 3a+7-8n
Answer:
3 and 8
Step-by-step explanation:
3 and 8 are the only numbers that have a variable, or the letter beside it
1/8 + 3/4 in its simplist form
Rewrite 3/4 to have the same denominator as 1/8.
3/4 = 6/8
Now you have 1/8 + 6/8 = 7/8
The answer is 7/8
One a map 3 centimeters represent 150 kilometers. If a line between two cities measure 4.5 centimeters, how many kilometers apart are they?
the ratio of dogs to cats at the local shelter is 2 to 5.there are 20 dogs at the shelter.what is the total number of dogs and cats at the shelter?
20:50 or if you have to add it 70
The square root of 150 lies between which two consecutive integers?
O 10 and 11
O 11 and 12
O 12 and 13
O 149 and 151
Answer:
12^2 = 144 and 13^2 = 169
So, the answer is 12 and 13
Step-by-step explanation:
How do I know where to put numbers on a graph
Answer:
X axis is on the left of the Coordinates (x,y) and Y axis is on te right
X goes sideways
Y goes Vertical
Step-by-step explanation:
i need help w this plss
Answer:
Line a and Line b are parallel. The slopes are equal
Line b is perpendicular to line c. The slopes are different
Step-by-step explanation:
The standard form of an equation is y =- mx+C
m is the slope
Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1
For Line a: 4x-3y = 2
Rewrite
-3y = -4x+2
y = 4/3 x - 2/3
Slope of line a is 4/3
Line b: y = 4/3x + 2
mx = 4/3x
m = 4/3
slope of line b is 4/3
Line c = 4y+3x = 4
4y = -3x + 4
y = -3/4 x + 1
Slope of line c is -4/3
Since line a and b have the same slope, they arer parallel
mb * mc = 4/3 * -3/4
mb*mc = -1
Since the product of slope of line b and c is -1, they are perpendiclar
If nkf ~ lzf, find nf, please help me with this it’s due tmr!!!!
Answer:
NF = 25
Step-by-step explanation:
Since ∆NKF ~ ∆LZF, the ratio of their corresponding side lengths would also be the same.
This means that:
KF/ZF = NF/LF
KF = x + 3
ZF = 4
NF = 15 + x + 3 = x + 18
LF = x + 3
Plug in the values into the equation
(x + 3)/4 = (x + 18)/(x + 3)
Cross multiply
(x + 3)(x + 3) = (x + 18)(4)
x² + 3x + 3x + 9 = 4x + 72
x² + 6x + 9 = 4x + 72
x² + 6x + 9 - 4x - 72 = 0
x² + 2x - 63 = 0
Factorize to find x
x² + 9x - 7x - 63 = 0
x(x + 9) -7(x + 9) = 0
(x + 9)(x - 7) = 0
x + 9 = 0 or x - 7 = 0
x = -9 or x = 7
We'd use the positive value of x, which is 7.
Therefore, x = 7.
✅NF = 15 + (x + 3)
Plug in the value of x
NF = 15 + (7 + 3) = 15 + 10
NF = 25
4. book: $39 with a 7.5% markup
What is the:
Markup:
Selling Price:
Answer:
Markup: 2.925
Selling price: $41.925
Step-by-step explanation:
someone please help, I need to construct a triangle with a perimeter of 125mm and having sides in the ratio 2:3:4. I don't understand ratios
Answer:mass CO2 = (mass AS) - (final mass)
Step-by-step explanation:
additive inverse of -4/7
Answer:
1/7
Step-by-step explanation:
hello can someone pls help me? its 8th grade math :]
"simplify the expression, write answer using a positive expression"
(3/7)^-7 x (3/7)^-1 % (3/7)^3=( ? )(^?)
thanks so much!
-3.5(x+9). URGENT : SHOW ALL STEPS PLEASE
Answer:
-3.5x - 31.5
Step-by-step explanation:
-3.5(x+9)
= -3.5x + -3.5(9)
= -3.5x - 31.5
Please answer and show all work
Answer:
брате, заткнись, блядь, знай, хтось дбає про твої дивні тли
Step-by-step explanation:
Please due today are 11:59
HELPPPPPPPPPPPPPPPPPPPPPPP
IT IS MEAN-MEDIAN MODE
The volume of a rectangular prism can be found by multiplying the three side lengths. A bookcase in the shape of a rectangular prism has dimensions (b+8) ft, b ft, and (b+3) ft. Find the volume of the bookcase
Answer:
(b³+11b²+24)ft³
Step-by-step explanation:
Volume of the rectangular prism = Length * Width * Height
Given the dimension
Length = b+8 ft
Width = b ft
Height = (b+3)ft
Volume of the rectangular prism = b(b+8)(b+3)
Volume of the rectangular prism = b(b^2+3b+8b+24)
Volume of the rectangular prism = b(b^2+11b+24)
Volume of the rectangular prism = b(b^2)+b(11b)+1(24)
Volume of the rectangular prism = b^3+11b^2+24
Hence the Volume of the rectangular prism is (b³+11b²+24)ft³
Can anyone help me with this please?
Do not answer if you do not know.
Answer: a
Step-by-step explanation:
$6.00 times 200 per day times 65.00 per day for saftey
Help! Will mark brainliest to whoever puts the answer first!
Answer:
1 and 6 (alternate exterior angle)
2 and 5(corresponding angle)
4 and 5(co interior angle)
3 and 5(alternate interior angle)
Kevin just put 20.26 gallons of fuel into his car. There were 3.9 gallons in the car to begin with. How much fuel is in Kevin's car now?
HELPP
Answer:
24.16
Step-by-step explanation:
What is the absolute value of (-100) and why?
HELP ILL GIVE BRAINLIEST
In a class of 40 students, 75% of the students
turned in their assignments. How many
students did NOT turn in their assignments?
Answer:
10 students didnt turn in work
Step-by-step explanation:
10. its like saying 100 divided by 25
Graph the system of equations, and determine the
solution.
X + 5y = 10
2x + 10y = 50
Use the graphing tool to graph the system,
Answer:
First one is 2. The second one is 5.
Step-by-step explanation:
Find the axis of symmetry and the vertex of the graph of the function: y=-1/2x^2+4x-7
Answer:
axis x=4 & vertex (4,1)
What is the area of the composite figure? Card F
特||
Shape 1: trapezoid
Area Formula:
Solve:
13 cm
Shape 2: square
Area Formula:
9 cm
Solve:
19 cm
24 cm
Fnal Answer
Incude Units)
Answer:
total area is bottom rectangle area+ upper rectangle area + two triangles.
whole area.
(24x19) + (13x9) +(24x13) =885
area of trapezoid
whole area - bottom rectangle
885-(24x19) = 429
p(x)= 4x^3 -3x^2+5x-2
Answer:
p=4x^3−3x^2+5x−2/x
Step-by-step explanation:
Let's solve for p.
px=4x^3−3x^2+5x−2
Step 1: Divide both sides by x.
px/x=4x^3−3x^2+5x−2/x
p=4x^3−3x^2+5x−2/x
Answer:
p=4x^3−3x^2+5x−2/x
( I hope this was helpful) >;D
Polynomials and Factoring Unit Test part 2
f (x) = 9x^3 + 2x^2 – 5x + 4 and g(x) = 5x^3 - 7x + 4. what is f (x) – g(x)? Show all of your steps and write your final answer in factored form. Math symbols.
PLEASE HELP ME
Answer:
4x^3+2x^2+2x
Step-by-step explanation:
The difference of the two polynomials, is: f(x) - g(x) = 4x³ + 2x² + 2x
How to Subtract Polynomials?To subtract one polynomial from another, take like terms together.
Given the polynomials:
f(x) = 9x³ + 2x² - 5x + 4 and g(x) = 5x³ - 7x + 4
Find f(x) - g(x):
(9x³ + 2x² - 5x + 4 ) - (5x³ - 7x + 4)
Open the bracket
9x³ + 2x² - 5x + 4 - 5x³ + 7x - 4
Combine like terms together
4x³ + 2x² + 2x
Therefore, the subtraction of the two polynomials, is: f(x) - g(x) = 4x³ + 2x² + 2x
Learn more about polynomials on:
https://brainly.com/question/2833285
Select the correct answer.
620
530
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What is the value of x in this triangle?
Answer:
65
Step-by-step explanation: