Answer:
12
Step-by-step explanation:
You need to use the pythagorean theorem. a^2 +b^2=c^2. Label the sides with a, b, and c. The longest side is c, but it does not matter for the other two sides.
Answer:
y = 12
Step-by-step explanation:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] - [tex]b^{2}[/tex]
[tex]c^{2}[/tex] = [tex]35^{2}[/tex] - [tex]37^{2}[/tex]
[tex]35^{2}[/tex] = 1,225
[tex]37^{2}[/tex] = 1,369
1,369 - 1,225 = 144
[tex]\sqrt{144}[/tex] = [tex]c^{2}[/tex]
[tex]\sqrt{144}[/tex] = 12
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.
What is the square root of 51.84
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
Y is 5 less than the product of 4 and x
Answer: y=4x-5
Y=4x-5
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!
________________________
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
Help ASAP!!!!! Due in 5 minutesp
Answer:
-1/2
Step-by-step explanation:
to find perpendicular slope, flip the number and the sign
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]
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
PLEASE HELP ME OUT
John has two coupons to use at a clothing store. One is for $20 off and
the other is for 20% off. John wants to purchase a shirt with one of the
coupons and wants to pay the least amount that he can. Choose the
answer that BEST describes the situation.
A. The shirt will have the lowest price with the $20 off coupon
B. The shirt will have the lowest price with the 20% off coupon.
C. The shirt will cost the same with either coupon.
D. It depends on the cost of the shirt as to which coupon will help John pay the lowest
price
Answer: D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.
Step-by-step explanation:
You do not know how much a 20% discount is unless you know the price of the shirt. This can be more or less than $20, so you don’t know.
Hope this helps!
Answer:
D.
Step-by-step explanation:
For example if a shirt was $100 dollars, 100-20 = 80 and 100 x .8 = 80
But if the shirt cost $35, 35-20 = 15 while 35 times .8 = 28
This shows that the cost of the shirt is important in discovering which coupon is better.
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
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
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
Which calculation will always give a result greater than 1?
5 x a number less than 1
1 3/4 - a fraction less than 3/4
4/9 + a fraction less than 1/2
7/8 x a number less than 1
Answer:
1 3/4 - a<3/4
proof:
1 3/4 -a<3/4
=>1 3/4 - 1 3/4 -a<3/4- 1 3/4
=>-a<-1
=>a>1
I don't understand this at all. Can you help me solve this please :)
Answer:
y = -1/2x +3
Step-by-step explanation:
basically all you have to do is change the y intercept, but keep the slope the same and you create a parallel line
i need help on this
Answer:
2
Step-by-step explanation:
63/9 = 7 and -5 + 7 is the same thing as 7-5 so it's 2
Answer:
2
Step-by-step explanation:
[tex]\frac{63}{9} = 7[/tex] Plug 7 in: -5 + 7-5 + 7 = 2I hope this helps!
What is the equation of the line passing through the points (2, -1) and (5, -10) in slope intercept form
Answer:
-3x+5
Step-by-step explanation:
y2-y1/x2-x1
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)
What is the value of the 4 in the number 546210?
Give your answer in words
Answer:
Ten ThousandsThank you ☺️☺️
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-
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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
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
Help me please I need to answer this
Answer:
three shirts an hour
Step-by-step explanation:
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
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..
PLEASE HELP ME OUT IF YOU CAN
Answer:
D
Step-by-step explanation:
Please answer quickly!
Sorry I think the picture is blocked so I can't see it
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
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8800000 in scientific notation
Answer:
8.8 x 10 to the power of 6
Step-by-step explanation:
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]