m = 36
Work
45 + 2.50m = 3.75m
-3.75m -3.75m
45 - 1.25m = 0
- 45 - 45
-1.25m = -45
-1.25 -1.25
m = 36
Triangle ABC has vertices A (1,1) B (7,1) C (4,9) (A)Find the perimeter of triangle ABC. (B) Find the area of triangle ABC
9514 1404 393
Answer:
perimeter = 6+2√73 ≈ 23.09 unitsarea = 24 units²Step-by-step explanation:
It can help to draw a figure.
The altitude of this isosceles triangle is 8 units, and it splits the base into equal lengths of 3 units. Using the Pythagorean theorem, we find the length of a side to be ...
BC = AC = √(3² +8²) = √73
The perimeter is the sum of the lengths of those two sides and the base:
P = 2(√73) +6 ≈ 23.088 . . . units
The area is given by the formula ...
A = 1/2bh
A = (1/2)(6 units)(8 untis) = 24 units²
__
The perimeter is 6+2√73 ≈ 23.09 units.
The area is 24 units².
A stack of 3 books weighs 7.8 kilogramh book weighs the s. If eacsame amount, how much does each book weigh?
Answer:
they each way 2.6 kilograms
Marcellus is making a deposit that will leave him with a balance of $381. He noticed that if he added $54 to the amount he started with in his account and then tripled the sum, he would get the new amount. How much did Marcellus originally have in his account? Which equation represents the situation?
Answer:
Step-by-step explanation:
Let the initial money deposited in the account be x:
If he added $54 to the amount he started with in his account, the expression will become:
x+54
If the sum is tripled, we will have:
3(x+54)
Since the balance an-mount is $381, the final equation will give:
3(x+54) = 381
The equation that represents the situation is 3(x+54) = 381
Next is to calculate x:
3(x+54) = 381
open the parenthesis
3x+162 = 381
3x = 381 - 162
3x = 219
x = 219/3
x = 73
Hence the original amount in his account is $73
Worth 30 points.
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
the square root of x minus 3 plus five equals x.
Picture of question and equation attached.
Answer:
x=7 valid solution
x=4 extraneous solution
Step-by-step explanation:
sqrt( x-3) +5 = x
Subtract 5 from each side
sqrt( x-3) +5 -5= x-5
sqrt( x-3) = x-5
Square each side
(sqrt( x-3))^2 = (x-5)^2
Foil the right side ( x-5)(x-5) =x^2 -5x-5x+25 = x^2 -10x+25
x-3 = x^2 -10x+25
Subtract x from each side
-3 = x^2 -10x -x+25
Add 3 to each side
0 = x^2 -11x +25 +3
0 = x^2 -11x+28
Factor
0 = (x-7)(x-4)
Using the zero product property
x-7 =0 x-4=0
x=7 x=4
Check the solutions
sqrt( x-3) +5 = x
x=7
sqrt( 7-3) +5 = 7
sqrt(4) +5 = 7
2 +5 = 7 valid solution
x=4
sqrt( 4-3) +5 = 4
sqrt(1) +5 = 4
1 +5 = 4 not true extraneous solution
Forensic specialists can estimate the height of a deceased person from the lengths of the person's bones. These lengths are substituted into mathematical inequalities. For instance, an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur is |h − (2.47f + 54.10)| ≤ 3.72. Use this inequality to estimate the possible range of heights, rounded to the nearest 0.1 centimeter, for an adult female whose femur measures 32.25 centimeters.
Answer:
[tex]130.2845\leq h\leq 137.7245[/tex]
Step-by-step explanation:
Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation
[tex]|h - (2.47f + 54.10)| \leq 3.72[/tex]
If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:
[tex]|h - (2.47(32.25) + 54.10)| \leq 3.72\\|h - (79.9045 + 54.10)| \leq 3.72\\|h - (134.0045)| \leq 3.72\\[/tex]
If the modulus function is positive then:
[tex]h - 134.0045 \leq 3.72\\h \leq 3.71+134.0045\\h\leq 137.7245[/tex]
If the modulus function is negative then:
[tex]-(h - 134.0045) \leq 3.72\\-h+134.0045 \leq 3.72\\-h\leq 3.72-134.0045\\-h\leq -130.2845\\[/tex]
multiply through by -1
[tex]-(-h)\geq -(-130.2845)\\h\geq 130.2845\\130.2845\leq h[/tex]
combining the resulting inequalities, the estimate of the possible range of heights will be [tex]130.2845\leq h\leq 137.7245[/tex]
Evaluate each expression.
2(5) + 3(4+ 3) =
Answer:
Step-by-step explanation:
10 + 3(7)
10 + 21
= 31
Answer:
31
Step-by-step explanation:
You can use BODMAS rule here to Simplify an expression and do not have to worry about which to do first multiply or addition.
B- bracketsO- ofD- DivisionM- multiplicationA- additionS- subtraction2(5) + 3(4+3)
= 10 + 3(7)
= 10 + 21
=31
What is the length of side A, in centimeters, on the enlarged trapezoid?
4
6
12
20
Answer:
C
Step-by-step explanation:
given the fact that the other side measures all multiply by 4 when they are enlarged in the second shape, we know that the scale factor is 4. 3 enlarged by a scale factor of 4 = 12
Which pair of functions are inverses of each other?
Answer:
A
Step-by-step explanation:
Inverse means that the function is reversed from the original function, f(x).
To find the inverse function of f(x)=5x-11, add 11 to x, then divide the expression by 5.
This would be (x+11)/5.
So, you know that A is true.
Try the other selections too.
B: [tex]g(x)=x^3/2[/tex] The x should be tripled before being divided by 2; FALSE
C: [tex]g(x)=7/(x+9)[/tex] 7 should by in the numerator; FALSE
D: [tex]g(x)=6(x+8)[/tex] 8 should be added before being multiplied by 6; FALSE
I hope this helps!!!
Using composite functions, it is found that the pair of functions that are inverse of each other is given by:
A. [tex]f(x) = 5x - 11[/tex] and [tex]g(x) = \frac{x + 11}{5}[/tex]
------------------
The composite of functions f and g is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
Two functions f and g are inverse of each other if:
[tex]f(g(x)) = g(f(x)) = x[/tex]
Item a:
[tex]f(x) = 5x - 11[/tex]
[tex]g(x) = \frac{x + 11}{5}[/tex]
[tex]f(g(x)) = f(\frac{x + 11}{5}) = 5(\frac{x + 11}{5}) - 11 = x + 11 - 11 = x[/tex]
[tex]g(f(x)) = g(5x - 11) = \frac{5x - 11 + 11}{5} = \frac{5x}{5} = x[/tex]
Since [tex]f(g(x)) = g(f(x)) = x[/tex], these functions are inverse of each other.
A similar problem is given at https://brainly.com/question/23458455
How many four-digit numbers can you make with these three integers?
0, 1, 2
Answer:
I would think 2222
Step-by-step explanation:
Between the three numbers, that four-digit number is the greatest.
(Apologies if not correct)
Graph the linear function f(x)=3−6x
Answer:
(-1,9) (0,3), (1,-3), (2,-9)
Step-by-step explanation:
y intercept is -3
slope is -6, so you would go down by 6 and right by 1.
Answer:
The coordinates to graph this would be (-1,9) (0,3) (1,-3) (2,-9)
if the centroid of the triangle formed by (x,0), (5.2) and (-8.y) is at (-2,1) then (x,y) is equal to
only proper people will be given this mark...or else will fire u from brainly...
Answer: Hola, ila munkililakum ghithishalan fee mabruk ilal habeebi
Help me please I need to answer this
Answer:
three shirts an hour
Step-by-step explanation:
Find a counterexample for the given conjecture.
The difference of two odd numbers is always an odd number.
Answer:
The difference of two odd number is always even as seen below.
Step-by-step explanation:
First odd number = x
Second odd number = x + 2
Third odd number = x + 4
Therefore
(x + 4) - (x + 2) = x
Where x is any odd number
Using 1 :
(1 + 4) - (1+2)
5 - 3 = 2
2 is not an odd number
We can say the difference of two odd number is always even
PLEASE HELP ME OUT IF YOU CAN
Answer:
D
Step-by-step explanation:
8. The length of an actual road is
1,000 miles. If 1 inch represents
100 miles, what is the length of
the road on the map?
Answer:
It's A.
Step-by-step explanation:
Answer:
10 inches
Step-by-step explanation:
1,000 / 100 = 10
Please answer quickly!
Sorry I think the picture is blocked so I can't see it
Helpppo I’ll name you the brainliest
find the missing angle in the image below?
Answer:
? = 40°
Step-by-step explanation:
100° = 60° + ? (The exterior angle property of triangles)
100° - 60° = ? (By the law of transposition)
40° = ?
If my answer helped, kindly mark me as the brainliest!
Thank You!
Answer:
the missing angle is 40
Step-by-step explanation:
let the missing angle be x
then x+ 60 = 100 using (exterior angle property)
so x= 100-60 which is equal to 40.
hope this helps u buddy..
Find the value of 5x+6 when x=-2
Answer:
-4
Step-by-step explanation:
5 times negative -2 is -10 and you just add 6 so the answer is -4
The value of 5x + 6 when x = -2 will be -4.
What is Expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is the following expression -
5x + 6
Given is the following expression -
5x + 6
At x = -2, we can evaluate the expression as -
5x + 6
5 x -2 + 6
-10 + 6
-4
Therefore, the value of 5x + 6 when x = -2 will be -4.
To solve more questions on Evaluating expression, visit the link below-
https://brainly.com/question/13589173
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Help ASAP!!!!! Due in 5 minutesp
Answer:
-1/2
Step-by-step explanation:
to find perpendicular slope, flip the number and the sign
Which expression is equivalent to [4h^7k^2]^4?
Answer:
614656h²⁸k⁸
Step-by-step explanation:
Exponent Power Rule: [tex](b^m)^n=b^{mn}[/tex]
Step 1: Write expression
[4h⁷7k²]⁴
Step 2: Distribute power 4 to each term
4⁴h⁷⁽⁴⁾7⁴k²⁽⁴⁾
Step 3: Simplify
256h⁷⁽⁴⁾2401k²⁽⁴⁾
614656h⁷⁽⁴⁾k²⁽⁴⁾
Step 4: Use Exponent Rule
614656h²⁸k⁸
What is the square root of 51.84
An iscosceles right angled triangle is shown
Answer : x = 4
Step-by-step explanation:
Area = 1/2 × base × height
Area= 200cm²
base = 5x
height = 5x
200cm² = 1/2 × base × height
200 = 1/2 × 5x × 5x
200 = 1/2 × 25x²
2( 200) = 25x²
400 = 25x²
16 = x²
4 = x
Answer: " x = 4 " .
______________________________________
Step-by-step explanation:
______________________________________
The formula for the area of a triangle:
Area, "A" = (1/2) * base * height;
that is: A = (1/2) * b * h ;
From our given problem and image/diagram:
A = 200 cm² ;
b = 5x ;
h = 5x ;
We are asked to find the value for "x" ;
A = (1/2) * b * h ;
Plug in our known values:
200 cm² = (1/2) * 5x * 5x ;
Simplify:
200 cm² = (1/2)*(25x²) ;
200 cm² = (12.5)x² ;
⇔ (12.5)x² = 200 cm² ;
Divide each side by: " (12.5)" ;
(12.5)x² / (12.5) = (200 cm²)/(12.5) ;
to get: x² = 16 ;
Take the positive square root of each side of the equation; to get the value for "x" ;
⁺ [tex]\sqrt{x^{2} } =[/tex] ⁺ [tex]\sqrt{16}[/tex] ;
to get:
x = 4 .
________________________
Good luck to you in your academic endeavors!
________________________
PLEASE HELP ME GIVING Brainliest!!!
Keyleanis and her friend both started a part-time job at McDonnald earning $14 per hour. Claudia worked 38 ½ hours her first week. Keyleanis agreed to pay her friend 1/5 of her salary for reimbursement off gas and food. How much money did Keyleanis pay her friend for gas?
Answer:
107 and 4/5 or 107.8
Step-by-step explanation:
14 times 38.5 is 539.
539 times 1/5 is 107 and 4/5 or 107.8
Answer:
$106.73
Step-by-step explanation:
14 x 38 ½ = 533.68
533.68 ÷ 5 = 106.73. Keyleanis paid Claudia $106.73
HELP ASAP: Can you draw a quadrilateral that's not a parallelogram with only one pair of congruent angles? Explain why one pair of congruent angles isn't enough information to prove that a quadrilateral is a parallelogram.
Yes it is possible. We could draw a trapezoid that has 2 right angles as shown below. A trapezoid has only one pair of parallel sides. A parallelogram needs both pairs of opposite sides to be parallel.
Yes, it is conceivable. As shown below, we could draw a trapezoid with two right angles.
What is quadrilateral?A quadrilateral is a four-sided polygon with four edges and four corners in geometry. A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are known as the trapezoid's bases.
Yes, it is conceivable. As shown below, we could draw a trapezoid with two right angles. A trapezoid has only one parallel pair of sides. Both pairs of opposite sides of a parallelogram must be parallel.
The shape of the required quadrilateral is attached with the answer below.
To know more about quadrilaterals follow
https://brainly.com/question/16691874
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a) (x^2 + 1/2)^2
using the formula:
(a+b)^2= a^2+2ab+b^2
Step-by-step explanation:
(x^2+1/2)^2=(x^2)^2+2*x^2*1/2+(1/2)^2=
x^4+(2x^2)/2+1/4=
x^4+x^2+1/4
Answer:
x^4 + x^2 + 1/4
Step-by-step explanation:
[tex] {( {x}^{2} + \frac{1}{2} })^{2}[/tex]
a = x^2
b = 1/2
[tex] {a}^{2} + 2ab + {b}^{2} [/tex]
[tex] ({x {}^{2}) }^{2} + 2( {x}^{2} )( \frac{1}{2} ) + { \frac{1}{2} }^{2} [/tex]
[tex] {x}^{4} + {x}^{2} + \frac{1}{4} [/tex]
The point (1, –5) is reflected across the y-axis. A coordinate plane. What are its new coordinates?
Answer:
(-1,-5)
Step-by-step explanation:
Answer:
HMM C..... Answer: Choice C. (-1, -5)
Step-by-step explanation:
The reflection rule we use is
when we want to reflect over the y axis. The x coordinate flips from positive to negative, or vice versa, while the y coordinate stays the same.
8800000 in scientific notation
Answer:
8.8 x 10 to the power of 6
Step-by-step explanation:
What is the solution to 4x3 - 3x2 - 7x<0?
Answer:
[tex](-∞,1) , (0,\frac{7}{4})[/tex]
Step-by-step explanation:
Factor:
x(4x³-3x-7)<0
Dom and Riley both want to find the change from the 6 AM temperature to the new 12 PM temperature. Dom says that you can use a number line and add the distances from 0 to the 6 AM temperature and from 0 to the new 12 PM temperature. Riley says that you can subtract -1.4 from the 12 PM temperature. Is either Dom or Riley correct? Explain your reasoning and find the change in temperature.
Answer:
Neither Dom or Riley is correct
Step-by-step explanation:
The change in temperature between 12PM and 6AM can be obtained by subtracting the 12PM temperature from the 6AM temperature because temperature increases as the hours of the day go by.
To carry out this subtraction on the number line, the following steps should be taken;
(i) Mark the numbers corresponding to 6AM and 12PM temperatures on same number line.
(ii) From the number corresponding to the 12 PM temperature, find out how many steps that are needed to reach the position of the number corresponding to the 6AM temperature.
This number of steps represents the temperature change between the 12PM temperature and the 6 AM temperature.