Answer:
(x +4)^2 + (y-7)^2 = 36
Step-by-step explanation:
The equation of a circle is of the form
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x- -4)^2 + (y-7)^2 = 6^2
(x +4)^2 + (y-7)^2 = 36
I think of a number, double it, then subtract 13 , I get 73 . Evaluate the number I thought of.
Answer: 43
Step-by-step explanation:
Lets start with the result. First add the number you subtracted with 73
= 73+13=86
Now they had doubled it, now we instead divide it as it was multiplied. Division is the opposite of Multiplication.
86/2= 43
Hence the Answer or the First Number was 43
HOPE IT HELPS AND PLS MARK BRAINLIEST
What is the value of this expression when a= - 3 and b=-2?
(3a^-2b^6/2a^-1b^5)^2
Answer:
so lets just rewrite it with A=-3 amd B=-2
(-9^4^-9^2^5)^2
which is equal to... 1!
Hope This Helps!!!
Answer:
1
Step-by-step explanation:
took the test
What is the midpoint of the line segment with endpoints (3.2, 2.5) and
(1.6, -4.5)
Answer:
(2.4, -1)
Step-by-step explanation:
Using midpoint formula plug in the info (x1+x2)/2, (y1+y2)/2
I swear there are never tutors
Answer:
5-2y (the last option)
hope this helps!
please give brainiest<3
Answer:
2y-5
Step-by-step explanation:
Chris carved three times as many jack-o lanterns as his friend Thomas. if Thomas carved 3 jack o lanterns how many did Chris carve
Answer:
9
Step-by-step explanation:
3 times 3 is 9
hope that helps bby<3
25 [tex]\sqrt{x}[/tex] 64 +187
Answer:
x = 17/4 = 4.250
x = 11/2 = 5.500
Step-by-step explanation:
Help please I’ll mark as brainliest!
Answer:
the 2nd option
Step-by-step explanation:
first option :
-3x + 7 + 8x = 5x + 15 - 8
combine like terms
-3x + 8x - 5x = +15 - 8 - 7
0
Second option :
3x - 2 = 5x + 12 - 2x
combine like terms
3x - 5x +2x = 12 + 2
0 = 14
third option
3x - 5 = -2x - 5
combine like terms
3x + 2x = +5 - 5
5x = 0
x = 0
fourth option
3x - 3 = -2x + 2
combine like terms
3x + 2x = 3 + 2
5x = 5
x = 1
Find the missing side and angle measures in triangle ABC. Round your answers to the nearest tenth.
The measure of angle B is approximately
__.
The measure of angle C is approximately
__.
The length of side AB is approximately
___units.
Answer:
[tex]m\angle B\approx 80.27^\circ\text{ and } m\angle C\approx 59.73^\circ[/tex]
Side AB measures approximately 20.15 units.
Step-by-step explanation:
We can use the Law of Sines, given by:
[tex]\displaystyle \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}[/tex]
Since we already know ∠A and a, we can use it to determine our other measures.
We know that b is 23. Substitute:
[tex]\displaystyle \frac{\sin 40^\circ}{15}=\frac{\sin B}{23}[/tex]
Solve for ∠B:
[tex]\displaystyle \sin B=\frac{23\sin 40^\circ}{15}[/tex]
We can take the inverse sine of both sides:
[tex]\displaystyle m\angle B=\sin^{-1}\frac{23\sin 40^\circ}{15}[/tex]
Use a calculator (make sure you're in Degrees mode!):
[tex]m\angle B\approx 80.27^\circ[/tex]
The interior angles of a triangle must total 180°. Hence:
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
Substitute in known values:
[tex](40^\circ)+(80.27^\circ)+m\angle C=180^\circ[/tex]
Therefore:
[tex]m\angle C\approx 59.73^\circ[/tex]
Lastly, to find AB or c, we can use the Law of Cosines:
[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]
a = 15, b = 23, and to prevent rounding errors, we will use the exact value for C. Recall that we know that:
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
Using the exact value for ∠B, we acquire:
[tex]40^\circ+\displaystyle \sin^{-1}\frac{23\sin40^\circ}{15}+m\angle C=180^\circ[/tex]
Therefore:
[tex]\displaystyle m\angle C=\left(140-\sin^{-1}\frac{23\sin40}{15}\right)^\circ[/tex]
Substitute:
[tex]\displaystyle c^2=(15)^2+(23)^2-2(15)(23)\cos\left(140-\sin^{-1}\frac{23\sin40^\circ}{15}\right)[/tex]
Simplify and take the square root of both sides.
[tex]\displaystyle c=\sqrt{754-690\cos\left(140-\sin^{-1}\frac{23\sin40^\circ}{15}\right)}[/tex]
And use a calculator:
[tex]c\approx 20.15[/tex]
Answer:
Hi! The person above is actually correct, just that it needed to be rounded to the nearest tenth. Check the picture for confirmation. Hope this helped <3
Step-by-step explanation:
The measure of angle B is approximately
80.3
The measure of angle C is approximately
59.7
The length of side AB is approximately
20.2
I got it correct on Edmentum/Plato
Convert this radical form to exponential form.
Answer:
I think it's 7.93725
I'm not sure if I did this correctly
Cheryl is taking an online test that gives her instant results. After answering 16 questions, the test revealed that 10 were answered correctly. She
then answered I consecutive questions correctly and achieved her goal of 80% accuracy. Write an equation that can be used to determine
how many questions she answered correctly to reach her goal.
Help ;-;
Which term is defined as a fee charged for the use of money?
a interest
b. down payment
C. principal
d. default
Please select the best answer from the choices provided
A
B
C
D
Which term is defined as a fee charged for the use of money?
[tex]\sf\purple{a.\:interest}[/tex] ✔
b. down payment
C. principal
d. default
Explanation:
Interest is defined as a fee charge for the use of money.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35\:ヅ}}}}}[/tex]
Please help me asap, please! How do I do this?
Answer:
(3, 6)
1/3
y = -3x +15
Step-by-step explanation:
you do this step by step.
just think what you need. and then you get all of that one after the other.
so, we need the middle point between D and O.
for this we need to know the length of DO.
and we need the slope of DO, so that we can then calculate the perpendicular slope. with that slope we then build the line going through the middle point as well but with the perpendicular slope.
so, length of DO.
Pythagoras for the triangle of the differences between the individual coordinates.
DO² = (9- -3)² + (8-4)² = (9+3)² + 4² = 144 + 16 = 160
DO = sqrt(16×10) = 4×sqrt(10)
the distance D-middle is half of DO = 2×sqrt(10)
DO/2 => DO²/4 = 144/4 + 16/4 = 36 + 4 = 6² + 2²
=> we have to add to the coordinates of D 6 in x and 2 in y direction to get the middle point :
(-3 + 6, 4 + 2) = (3, 6)
the slope of DO
the slope of a line is the ratio of y/x representing the change of y with the change of x. it is the factor of x in the line equation.
for DO we know that when x changes by 12 (difference of the x values of D and O), then y changes by 4.
so, the slope is 4/12 = 1/3.
perpendicular slope of 1/3
we flip x and y and also change the sign, as when the original line goes up, then the y line goes down. and vice versa.
so, the perpendicular slope is -3/1 = -3
the equation of the perpendicular line through the middle point is
y = -3x + c
for c we need to use the coordinates of the middle point (3, 6)
6 = -3×3 + c
6 = -9 + c
c = 15
so our line is
y = -3x + 15
Type it plz guys!!!!!!
Answer:
The answer is 18, I think.
Step-by-step explanation:
-9 times -2 = 18
18 divided by -9 = -2
Please help me with this
Answer:
O = 29
P = 61
Step-by-step explanation:
90 = (x+3) + (2x+9)
90 = 3x + 12
90 - 12 = 3x
78 = 3x
x = 26
26 + 3 = O = 29
(26 * 2) + 9 = P = 61
61 + 29 = 90 = Complementary Angles
Evaluate -5u for u = -4
Answer:
20
Step-by-step explanation:
-5 • (-4) = 20, and multiplying negatives make it positive.
Answer:
-5 × - 4 = 20
since, (-) × (-) = (+)
5 × 4 = 20
therefore,
= +20
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (negative 1, 2), (0, 2), and (2, 2). The second line is labeled y equals g(x) and passes through (negative 0.5, negative 2), points at (0, negative 1), and (1, 1). The lines intersect at (1.5, 2).
Use the graph to determine the input value for which f(x) = g(x) is true.
Answer:
x=2/3
Step-by-step explanation:
Most of that information is unnecessary. Just plug in the values of f(x) and g(x) into the equation where they are equal to each other and solve.
-3x+4=2
-3x=-2
3x=2
x=2/3
Tasha invests $5,000 at 6% annual interest and an additional $5,000 at 8% annual interest. Thomas invests $10,000 at 7% annual interest. Which statement accurately compares Tasha’s and Thomas’s investments if interest is compounded annually?
Compound interest formula: V (t) = P (1 + StartFraction r Over n EndFraction) Superscript n t
t = years since initial deposit
n = number of times compounded per year
r = annual interest rate (as a decimal)
P = initial (principal) investment
V(t) = value of investment after t years
Each person will have exactly the same amount over time because each invested $10,000 at an average interest rate of 7%.
Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.
Thomas’s investment will yield more from the start because he has more money invested at the average percentage rate.
Tasha’s investment will yield more at first because she invested some at a higher rate, but Thomas’s investment will yield more over the long run.
Answer:
B
Tasha's investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
i got a 100%
Martin collected data from students about whether they played a musical instrument. The table shows his results. Instrument No Instrument TOTAL Boys 32 60 92 Girls 38 68 TOTAL 70 90 160 What is the relative frequency of a boy playing an instrument? Write the answer as a decimal, rounded to the nearest hundredth.
Answer:
Step-by-step explanation:
For the data collected by Martin from students about whether they played a musical instrument, the relative frequency of a boy playing an instrument is 0.348.
What is relative frequency?Relative frequency of an event is the measure of something happens relative to the total outcomes of that event.
The relative frequency can be given as,
[tex]f_r=\dfrac{f}{n}[/tex]
Here, (f) is the frequency of the number of times data occurred in an event and (n) is the total number of outcomes.
The relative frequency can also be defined as, it is the ratio of subgroup frequency to the total frequency of any event.
Martin collected data from students about whether they played a musical instrument.
The table shows his results.
Instrument No Instrument TOTAL Boys 32 60 92 Girls 38 68 TOTAL 70 90 160Here, the total number of boys are 92 and the total number of boys who play instrument is 32. Thus, the relative frequency is,
[tex]f_r=\dfrac{32}{92}\\f_r=0.348[/tex]
Thus, for the data collected by Martin from students about whether they played a musical instrument, the relative frequency of a boy playing an instrument is 0.348.
Learn more about the relative frequency here;
https://brainly.com/question/3857836
#SPJ2
What do the solutions of a quadratic represent graphically?
A) The x-intercepts
B) The vertex
C) The 'a' value in the quadratic equation
D) The axis of symmetry
Answer:
A) The x-intercepts
Step-by-step explanation:
A radius of a circle is 14 cm and a chord has 18 cm. What is the distance between the center of the circle and the chord
Answer: [tex]10.72\ cm[/tex]
Step-by-step explanation:
Given
Radius of circle [tex]r=14\ cm[/tex]
Length of chord is [tex]l=18\ cm[/tex]
Suppose the distance between the chord and center is x
From figure, we can write
[tex]\Rightarrow r^2=x^2+9^2\\\Rightarrow 14^2=x^2+9^2\\\Rightarrow x^2=196-81\\\Rightarrow x^2=115\\\Rightarrow x=\sqrt{115}\\\Rightarrow x=10.72\ cm[/tex]
help i give many points
Answer:
Step-by-step explanation:
The pic doesnt wrk comment question and ill answer
A shipping container is in the shape of a right rectangular prism with a length of 10 feet, a width of 9.5 feet, and a height of 2.5 feet. The container is completely filled with contents that weigh, on average, 0.61 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
Step-by-step explanation:
shipping container is in the shape of a Right rectangular prism with the length of the 12 feet away the 8.5 feet and the height of 4 feet. The container is completely filled with contents that weigh on average 0.25 pounds per cubic foot what is the weight in pounds of the contents in the container
Right rectangular prism is a cuboid
Volume of Right rectangular prism = 12 * 8.5 * 4 = 408 cubic feet
Content Density = 0.25 pounds per cubic foot
Density = Mass / Volume
=> 0.25 = Weight of contents in container / Volume of container
=> 0.25 = Weight of contents in container / 408
=> Weight of contents in container = 0.25 * 408
=> Weight of contents in container = 102 pounds
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
Step-by-step explanation:
Feel free to ask for more help. I love Linear Algebra
. In a state with a sales tax rate of 6%,
Alex bought paper for his printer for
$17.99. How much was his sales tax
to the nearest penny?
Answer:
$1.1
Step-by-step explanation:
In a state with a sales tax rate of 6%,
Alex bought paper for his printer for
$17.99.
The amount of his sales tax to the nearest penny is calculated as:
Sales tax rate × Cost of Paper for his printer
Sales tax = 6% × $17.99
= 6/100 × $17.99
=$ 1.0794
Approximately≈ $1.1
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 37.5%
An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent.
What is the probability that both of the marbles drawn are blue?
a.
24%
c.
14%
b.
39%
d.
0
A line contains the points (2,-7) and (-4,2). Which statement is not true?
A) The line has y-intercept - 4
B) The line contains
(1,-)
2
C) The line is parallel to 3x - 2y=6 D) The line is perpendicular to y=x+4
E) No portion of the graph of the line lies in the first quadrant
Answer:
a is the answer because I just did that question and got 100 percent.
y = x2
-2
What is the Domain:
Answer:
all real numbers
Step-by-step explanation:
The domain is the values that x can take
x can be any real number
a line is perpendicular to
y= -1/4x -9
what is the slope of this perpendicular line?
Reason: Any two perpendicular lines will have their slopes multiply to -1, where neither line is vertical.
The given line has slope -1/4 and the perpendicular slope is 4
(-1/4)*4 = -1
Put another way: the answer is 4 because it's the negative reciprocal of -1/4.
calculate the value of the following:
sin 120+tan 300
[tex]sin 120 + tan 300[/tex]
Answer: 45.825353255
Step-by-step explanation:
What is the value of b - c if a = 18, b= 27, and c= 11?
O 16
O 11
0 9
0 29
Answer: 16
Step-by-step explanation: 27-11=16
Answer:
16
Step-by-step explanation:
b-c
=27-11
=16
I hope this is helpful :)
