Answer:
x = 6[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Here we need to use the Pythagorean Theorem
Pythagorean Theorem: a^2 + b^2 = c^2
STEP 1: Define your variables
The legs of the triangle are a and b, and the hypotenuse is c.
a = x
b = 4
c = 14
STEP 2: Plug your variables into the equation and solve
x^2 + 4^2 = 14^2
x^2 + 16 = 196
x^2 + 16 - 16 = 196 - 16
x^2 = 180
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{180}[/tex]
STEP 3: Simplify
Since the question asks you to put the equation in simplified radical form, you do not have to approximate the answer, but you do have to simplify the radical.
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{180}[/tex]
x = [tex]\sqrt{36}[/tex] * [tex]\sqrt{5}[/tex]
x = 6[tex]\sqrt{5}[/tex]
Find the domain of the following piecewise function.
Answer:
[tex](2,8][/tex]
Step-by-step explanation:
Given
The attached piece wise function
Required
The domain
To do this, we simply consider the inequalities that bound the values of x.
The inequalities are:
[tex]2 < x < 4[/tex] [tex]4 < x < 8[/tex] and [tex]x \ge 8[/tex]
Combine the first two inequalities:
[tex]2 < x < 8[/tex] and [tex]x \ge 8[/tex]
For the inequality to be true, we must have:
[tex]2 < x \le 8[/tex]
In interval notation, the inequality is:
[tex](2,8][/tex]
If f(x) = 5x + 40, what is f(x) when x = –5?
answer
1. -9
2. -8
3. 7
4. 15
Answer:
option 4
Step-by-step explanation:
f(x) = 5x + 40
f(x = - 5) = 5 ( - 5) + 40
= - 25 + 40
= 15
f(x) = 5x + 40
f(-5) = 5(-5) + 40
= 15
Ans: 15
CAN SOMEONE PLEASE HELP ME!!
Answer:
29.8
Step-by-step explanation:
a^2+b^2=c^2
a^2+7^2=11^2
a = h = 8.5
A= 1/2*b*h
A= 1/2*8.5*7
A=29.8
help me solve the simultaneous linear inequalities
Answer:
The inequality form is -4<x<-2
The Interval Notation is (-4, -2]
I hope this helps!
Which is the graph of the equation y-1=- f (x-3)?
You invest $4.000 in a savings account. The account pays 3% annual interest. How much money will be in the savings account after 9 years?
A) $4,938.29
B) $5,219.20
C) $5,124.33
D) $6,003.45
Answer:
4000*0.03*9=1080
4000+1080=5080
umm but like thats not one of the answers sorry
Hope This Helps!!!
Step-by-step explanation:
4000*3% = 120
120*9= 1080
1080+4000=5080
Find the measure of the missing angle using the exterior angle sum theorm
Answer:
r = 30°
Step-by-step explanation:
According to the Exterior Angle Sum Theorem, the exterior angle, which is 90°, is equal to the 2 interior angles, which are 60° and r°. We know that the angle next to the exterior angle is 90°, and since all angle sums add up to 180°, r = 30°.
3(y+6)=30 solve equation
Answer:
3(y+6)=30
3y + 18 = 30
18 - 30 = 3y
12 = 3y
12/3 = y
4 = y
or
y = 4
Pls help, I will give 50 points
What is the mode of the set of numbers {55, 57, 59, 61, 62, 63, 64, 64, 65, 68, 69)
Answer:
64
Step-by-step explanation:
The mode of a data set is the number that occurs most frequently in the set. So, just look for the number that appears the most.
I hope this helps!
Someone please help me ASAP please
Answer:
hey mate
plz mark it as brainliest
What is the domain of the square root function graphed below
Answer:
Dominio de una Raíz cuadrada
Cuando tenemos una raíz, para estudiar su existencia debemos saber que una raíz existe si y solo sí el radicando (lo que está dentro de la raíz) sea mayor o igual a cero.
Por lo tanto deberemos estudiar el signo de lo que se encuentra dentro de la raíz; y determinar las zonas positivas y las raíces que son las zona de existencia de la función raíz o dominio de esta función.
Step-by-step explanation:
qsy
Evaluate x^-2 for x = -3 plsss i really need help on this thank you
Answer: -1/9
Step-by-step explanation:
Answer:
- 1/9 OR -0.111....
Step-by-step explanation:
Make x= -3
-3^-2= -1/9
The difference between two numbers is 12 and their sum is 26. Find the smallest number. A)9 B)7 C)-7 D)-9
Answer:
Step-by-step explanation:
We need a system of equations to solve for this. The first equation comes from "The difference between 2 numbers is 12". Difference means subtraction, the 2 numbers will be x and y, and the word "is" means equals:
x - y = 12
The second equation comes from "...their sum is 26". The numbers are still x and y but this time we have their sum, which is what they equal when they are added together. The word "is" means equals:
x + y = 26. So we will go back up to the first equation. If y taken away from x leaves a positive number, that means that y is smaller than x. We are looking for the value of the smaller number so we will find y. Solve the first equation for x to get it in terms of y:
x = 12 + y and we sub that into the second equation:
(12 + y) + y = 26 and
12 + 2y = 26 and
2y = 14 so
y = 7. Choice B is the one you want.
Can someone help me with this math homework please!
Answer:
See step by Step
Step-by-step explanation:
Both are correct. As long as we undo the operations that was given from the original term to both sides until we get the variable by itself., any way can be applied.
Both, Spencer and Jeremiah are correct. We can verify this by testing their methods.
Spencer's method:
[tex]6x - 2 = - 4x + 2[/tex]
[tex]6x - 2 + 4x= - 4x + 2 + 4x[/tex]
[tex]10x - 2 = 2[/tex]
[tex]10x = 2 + 2[/tex]
[tex]10x = 4[/tex]
[tex]x = \frac{4}{10} [/tex]
[tex]x = 0.4[/tex]
Jeremiah's method:
[tex]6x - 2 = - 4x + 2[/tex]
[tex]6x - 2 - 6x = - 4x + 2 - 6x[/tex]
[tex] - 2 = - 10x + 2[/tex]
[tex] - 2 - 2 = - 10x[/tex]
[tex] - 4 = - 10x[/tex]
[tex] \frac{ - 4}{ - 10} = x[/tex]
[tex]0.4 = x[/tex]
As seen, we get the correct answer by using Spencer's and Jeremiah's method. So, we can say that they both are correct.
Find the measure of each numbered angle for each figure
Answer:
Angle 1 is 58. Angle 2 is 32.
Step-by-step explanation:
The measure of Angle ACB is 90 because C is on the circle and A and B connect to form a diameter of the circle. So, Angle 1 and Angle 2 add up to 90 (total degrees in triangle - 90). Now you can add the expressions the question gave for Angle 1 and Angle 2, and you get 7x + 6. So you have the equation 7x + 6 = 90. Solve the equation and you get x = 12. Now you can plug in that value for x into the expressions for Angles 1 and 2 to find their measures.
What is the equation of the following line?
(-4, 8)
(0,0)
Answer
Step-by-step explanation:
y = -2x + 0
Therefore; y = -2x
Someone to give me the answer on the number line please
Answer:
Step-by-step explanation:
Equation for the total volume of the bucket has been given as,
V = 4 + 2t
Here V = Total volume
t = elapsed time
Table for the input-output values,
t 0 1 2 3 4
V 4 6 8 10 12
Therefore, line passing through the given points in the table will be the graph for the equation.
HELP ASAP WILL MARK BRAINLIEST!!!!!
A Ferris wheel car moves from point C to point D on the circle shown below:
D
38°
А ferris wheel car moves from point C to D on the circle shown below:
d = 20 ft
What is the arc length the car traveled, to the nearest hundredth?
2.18 feet
4.31 feet
5.84 feet
6.63 feet
Answer:
AL= 6.63
Step-by-step explanation:
C = 2[tex]\pi r[/tex]
C = 2[tex]\pi 10[/tex]
C = 20[tex]\pi[/tex]
[tex]AL = \frac{38}{360} 20\pi[/tex]
AL= 6.63
The length of the arc travelled by the car is 6.63 feet.
What is the arc length of a circle?The distance along the part of circumference of any circle or any curve (arc) is called arc length of a circle.
Formula for calculating the arc lengthArc length = θ×[tex]\frac{\pi }{180}[/tex]× r
where,
θ is central angle of arc
r is the radius of circle
What is diameter of the circle?The diameter of a circle is any straight line segment that passes through the center of the circle and whose end points lie on the circumference of the circle.
Formula for the calculating arc lengthdiameter = 2× radius
According to the given question
we have
θ = 38 degrees
diameter = 20ft
⇒ radius = [tex]\frac{20}{2}[/tex]
⇒ radius = 10
Therefore,
the arc length the car traveled = 38×[tex]\frac{\pi }{180}[/tex]× 10
= 38×[tex]\frac{3.14}{180}[/tex]×10
=[tex]\frac{1193.2}{180}[/tex]
=6.63 feet
Hence, the arc length the car travelled is 6.63feet.
Learn more about the arc length here:
https://brainly.com/question/16403495
#SPJ2
How many solutions does the nonlinear system of equations graphed below
have?
• A. One
• B. Two
• C. Four
O D. Zero
SUBMIT
FG has a midpoint at M(5, 7). Point G is at (9,5). Find the coordinates of point F. Write the coordinates as decimals or integers.
What number should be subtracted from -3/4 to get 5/6?
Answer:
Let that rational number to be subtracted be x.Given,-5/6 - x = 4/9= - x = 4/9+5/6= - x = 23/18x = - 23/18.
Step-by-step explanation:
The distance traveled (in meters) by a frog is modeled by the equation d=2t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 25 minutes.
Given,
d = 2t
here, t = 25
Therefore,
d = 2*25
= 50m
What is the interval of increase f(x)=3x^2-6x
Answer:
F(g(×)1=3(6+2)-5=18×+6-5=18×+1
Step-by-step explanation:
so correct answer is the last one pa brainliest plss
. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. population mean math score parents college grads. population mean math score parents high school grads. _____ _____ b. What is the point estimate of the difference between the means for the two populations
Answer:
Following are the responses to the given question:
Step-by-step explanation:
For point a:
Following are the null and alternative hypotheses:
[tex]H_0 : \mu_1 \leq \mu_2\\\\H_1 : \mu_1 > \mu_2[/tex]
For point b:
By using the Excel we obtained the output of the 2 sample t-test that is defined in the attached file.
These point estimately are the difference among the mean for the two populations:
[tex]\to \mu_{\bar{x_1}-\bar{x_2}} = \mu_{\bar{x_1}}-\mu{\bar{x_2}} ={\bar{x_1}-\bar{x_2}}=573-491=82[/tex]
y = 2x + 3
y=2x-1
The system has how many solutions?
one solution
two solutions
no solution
an infinite number of solutions
solve it please please
Answer:
D. 5 and 14
Explanation:
5,8,11,14
What is the measure of side B’C’?
Which of the following are possible
side lengths for a triangle?
A. 4, 9,4
B. 3, 8, 12
C. 8,8,9
As we know,
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
A. 4, 9, 4
[tex]4 + 9 > 4[/tex]
[tex]9 + 4 > 4[/tex]
[tex]4 + 4 < 9[/tex]
B. 3, 8, 12
[tex]3 + 8 < 12[/tex]
[tex]8 + 12 > 3[/tex]
[tex]12 + 3 > 8[/tex]
C. 8, 8, 9
[tex]8 + 8 > 9[/tex]
[tex]8 + 9 > 8[/tex]
[tex]9 + 8 > 8[/tex]
By observing the above,
the possible side lengths of a triangle are C. 8, 8, 9.
Select the two values of x that are roots of this equation.
x² + 3x-6=0
A. X=
-3+ /33
2
B. x=-3-83
c. x. -3-15
D. x. -3*4/15
please help
Answer:
[tex]x1 = \frac{ - 3 - \sqrt{33} }{2} \\ x2 = \frac{ - 3 + \sqrt{33} }{2} [/tex]
Step-by-step explanation:
[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 3 + - \sqrt{9 + 24} }{2} \\ x1 = \frac{ - 3 - \sqrt{33} }{2} \\ x2 = \frac{ - 3 + \sqrt{33} }{2} [/tex]