Answer:
Step-by-step explanation:
here x1=0 y1=-2 x2=-6 y2=4
slope=y2-y1/x2-x1
=4-(-2)/-6-0
=4+2/-6
=6/-6
=-1
therefore slope=-1.
What is the distance from Cto D?
5
4
D(5,3)
3
2
1
5
1 2 3
C(2, -1
-2
3
-4
-5
OA. 5 units
B. 25 units
C. 7 units
D. 1 unit
Given:
The two points C(2,-1) and D(5,3) on a coordinate plane.
To find:
The distance from C to D.
Solution:
The distance between two points is defined by the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The two points are C(2,-1) and D(5,3). Using the distance formula, we get
[tex]CD=\sqrt{(5-2)^2+(3-(-1))^2}[/tex]
[tex]CD=\sqrt{(3)^2+(3+1)^2}[/tex]
[tex]CD=\sqrt{(3)^2+4^2}[/tex]
On further simplification, we get
[tex]CD=\sqrt{9+16}[/tex]
[tex]CD=\sqrt{25}[/tex]
[tex]CD=5[/tex]
The distance from point C to D is 5 units. Therefore, the correct option is A.
In the figure below, secant PQ intersects the circle at R and secant SQ intersects the circle at point T. What is the value of z?
Answer:
19
Step-by-step explanation:
6×(6+14) = 5×(5+z)
120 = 25 + 5z
95 = 5z
z = 19
Your cousin Pablo gets his haircut, and it costs $12.00. What will he spend in total on his haircut if he includes a 12% tip?
Answer:
The tip would be $1.44, so the total would be $13.44
Step-by-step explanation:
To find the tip you take the bill ($12), and multiply it by the percent of tip given (12%), but it has to be in decimal form. 12% in decimal form is .12. 12 times .12 is 1.44. Add $12 to that to get $13.44.
Answer:
Step-by-step explanation:
You could do this a couple of ways. The first and easiest is to change 12% to a decimal. 12% = 12/100 = 0.12
Add this onto 1.
1 + 0.12 = 1.12
Multiply this number by
12*1.12 = 12(1 +0.12) Remove the brackets
12*1 + 1.44
Haircut + tip = 13.44
Of course, it would be much shorter to do it 12*1.12 = 13.44
15 points!
What is the equation of a circle with center (-3,2) and radius 4?
(x - 3)² + (y + 2)² = 16
(x - 3)² + (y + 2)² = 2
(x - 2)² + (y - 3)² = 4
(x + 3)² + (y + 2)² = 2
(x + 3)² + (y - 2)² = 16
(x - 3)² + (y - 2)² = 4
Answer:
(x+3)² + (y-2)² = 16
Step-by-step explanation:
the equation of a circle is
(x-a)² + (y-b)² = r²
with (a,b) being the center, and r the radius.
Justin wanted to walk 3.5 miles a day for a whole year if he meets his goal of walking 3.5 miles a day for the entire year, how total miles will Justin walk in a year?
Answer:
1277.5
Step-by-step explanation:
365 days in a year. If he walks daily 3.5 miles, then 3.5*365
3.5*365= 1277.5
What is the area of the parallelogram above! A.54 B.36.36 C.54.55 D 9
9514 1404 393
Answer:
A. 54
Step-by-step explanation:
The area of a parallelogram is the product of its base length (9) and height (6). The height is measured perpendicular to the base. That is why the height it 6, not 6.06.
A = bh = 9·6 = 54
MATH HELP PLEASE ANSWER AND SHOW WORK ITS DUE SOON THANKS
Answer:
the area of the circle is the number of boxes in the box minus no .of boxes in circle....
hay claudia do u remember me
help please i need it bad
Answer:
-13, -3
15, 2.6
Step-by-step explanation:
x, y are the numbers
x = 5y + 2
x×y = 39
(5y + 2)×y = 39
5y² + 2y - 39 = 0
the solution of a quadratic equation :
y = (-b ± sqrt(b² - 4ac))/2a
a = 5
b = 2
c = -39
y = (-2 ± sqrt(2² - 4×5×-39))/2×5 =
= (-2 ± sqrt(4 + 780))/10 =
= (-2 ± sqrt(784))/10 = (-2 ± 28)/10
y1 = (-2 + 28)/10 = 26/10 = 2.6
y2 = (-2 - 28)/10 = -30/10 = -3
x1 = 5×2.6 + 2 = 13 + 2 = 15
x2 = 5×-3 + 2 = -15 + 2 = -13
Four friends are buying healthy snacks at the concession stand.
The costs of their snacks are $1, $3, $4, and $4. Ms. red says, "The mean cost for the four snacks is $3.00" Is she correct?
Answer:
I believe it is $3.
Explanation:
m=sum/number
m=12/4 which is 3.
I hope this helps!
When the function f(x) = 4(2)x is changed to f(x) = 4(2)x − 13, what is the effect? (5 points)
a
There is no change to the graph because the exponential portion of the function remains the same.
b
The x-intercept is 13 spaces higher.
c
The y-intercept is 13 spaces lower.
d
All input values are moved 13 spaces to the left.
Answer: C. The y-intercept is 13 spaces lower.
Step-by-step explanation:
Answers in case you cant see them:
-3
-7
-11
11
Answer:
Step-by-step explanation:
8x-9+2+9x=180 degree(being co interior angles)
17x-7=180
17x=180+7
x=187/17
x=11 degree
Answer:
11
Step-by-step explanation:
consecutive interior angles always equal to 180 degrees, so you would add both equations together and equal it to 180 degrees. you would then simplify and solve.
8x-9 + 2+9x = 180
-7 + 17x = 180
-7+7 180+7 = 187
17x = 187
17x/17 = 187/17
x=11
Help me please I really need it
Answer:
2
Step-by-step explanation:
To find the average rate of change, we use:
[tex]\frac{changeofy}{changeofx} =rate ofchagne[/tex]
To find this lets look at the graph.
We see that at x=2, y=-3, and at x=3, y=-1.
The change of y is the first y coordinates minus the second, which in this case is:
-3-(-1)=-2
Change is the absolute value of the 1st and 2nd y. So its really a change of 2, not -2.
Our change of x falls under the same formula, being:
2-3=-1, but really being 1.
Now to plug this into our first formula:
2/1=2
So the rate of change is 2.
This seems to be your first answer.
Hope this helps!
Write the equation of the graph below.
Answer:
-x²+8x-15
Step-by-step explanation:
There are two solutions: 3 and 5
First, let's write the equation in this form (pay attention, the parabola here is going up so it won't be like your graph):
(x-3)(x-5)
For resolve our problem, let's re-write it with a minus before:
-(x-3)(x-5)
You can also expand it and the result will be like this:
-x²+8x-15
what is the inverse of the function f(x) = 4x^3 - 9
Answer:
[tex]f(x)^-^1=\sqrt[3]{\frac{x+9}{4}}[/tex]
Step-by-step explanation:
Finding the inverse of a function is essentially doing a given function in backwards order. An easy trick to doing such is to treat the evaluation (f(x)) like a variable. Think of the function as an equation, then solve the function for (x) in terms of (f(x)).
[tex]f(x)=4x^3-9[/tex]
Inverse operations,
[tex]f(x)=4x^3-9\\\\(f(x))+9=4x^3\\\\\frac{((f(x))+9)}{4}=x^3\\\\\sqrt[3]{\frac{(f(x))+9}{4}}=x[/tex]
Now put this in the form of an inverse function, switch the places of the terms (x) and (f(x)), remember to indicate that it is an inverse function,
[tex]f(x)^-^1=\sqrt[3]{\frac{x+9}{4}}[/tex]
evaluate 9^-1/2
help
Answer:
1 /3
Step-by-step explanation:
We know that a^-b = 1/a^b
9^-1/2 = 1/9^1/2
The sqrt (9) =3
1 /3
How many different committees can be formed from 12 teachers and 43 students if the committee consists of 3 teachers and 4 students?
The committee of 7 members can be selected in BLANK
different ways.
Answer:
[tex] \displaystyle 27150200[/tex]
Step-by-step explanation:
we are two conditions
committees can be formed from 12 teachers and 43 studentsthe committee consists of 3 teachers and 4 studentsIn choosing a committee, order doesn't matter; in case of teachers we need the number of combinations of 3 people chosen from 12
remember that,
[tex] \displaystyle\binom{n}{r} = \frac{n!}{r!(n - r)!} [/tex]
with the condition we obtain that,
[tex]n = 12[/tex][tex]r = 3[/tex]therefore substitute:
[tex] \displaystyle\binom{12}{3} = \frac{12!}{3!(12 - 3)!} [/tex]
simplify Parentheses:
[tex] \displaystyle\binom{12}{3} = \frac{12!}{3! \cdot9!} [/tex]
rewrite:
[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{(1 \times 2 \times 3 )\cdot1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9} [/tex]
reduce fraction:
[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]
rewrite 12 and 10:
[tex] \rm \displaystyle\binom{12}{3} = \frac{3 \times 2 \times 2 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]
reduce fraction:
[tex] \rm \displaystyle\binom{12}{3} = 2 \times 11 \times 10[/tex]
simplify multiplication:
[tex] \rm \displaystyle\binom{12}{3} = 220[/tex]
In case of students we need the number of combinations of 4 students choosen from 43 therefore,
[tex] \displaystyle\binom{43}{4} = \frac{43!}{4!(43 - 4)!} [/tex]
simplify which yields:
[tex] \displaystyle\binom{43}{4} = 123410[/tex]
hence,
The committee of 7 members can be selected in BLANK different ways is
[tex] \displaystyle 123410 \times 220[/tex]
[tex] \displaystyle \boxed{27150200}[/tex]
and we're done!
Please help me I need to answer this before tomorrow!
Answer:
Quadrant IV or D
Step-by-step explanation:
It is Quadrant IV or D, since it is a positive x (meaning it must be 1 or 4) and it has a negative y (so 3 or 4). You then find the common answer which is 4 or IV.
please help me (-3)2 + (-2)=
Answer:
[tex]\left(-3\right)\cdot \:2+\left(-2\right)\\\left(-3\right)\cdot \:2\\\\=-6\\\=-6+\left(-2\right)\\\\=-6-2\\=-8[/tex]
I hope this is what you're looking for
y = one-third (x + 2)
Answer:
Step-by-step explanation:
according to the question equation is
y=1/3*(x+2)
y=x+2/3
If line segment PB = 12 cm, the area of sector ACB = ? cm2 (rounded
to the nearest cm2).
Answer:
:)
Step-by-step explanation:
PB , radius = 12cm
[tex]Area = \pi r^2 \frac{\theta}{360}[/tex]
[tex]= \pi \times 12^2 \times \frac{74}{360}\\\\=92.99 \ cm^2\\= 93 \ cm^2[/tex]
The book wants me to use the Pythagorean Theorem (a^2+b^2=c^2) to get the correct answer. I never learned how to use the theorem when finding distance and have only used Distance Formula. I tried using the Distance Formula to get the correct answer and got a negative outcome. Can someone please explain how Pythagorean Theorem works or maybe tell me how to fix the Distance Formula so it doesn't give me a negative outcome.
Answer:
C) [tex]\sqrt{106}[/tex] units
Step-by-step explanation:
The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex] where [tex]a[/tex] and [tex]b[/tex] are side lengths of a right triangle and [tex]c[/tex] is the hypotenuse, the longest side of the right triangle.
The distance formula is similar to that of the Pythagorean Theorem which is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points that you wish to find the distance between them in an (x,y) coordinate plane.
Here, we are given that [tex](x_1,y_1)[/tex] is [tex]P(-4,-6)[/tex] and [tex](x_2,y_2)[/tex] is [tex]Q(1,3)[/tex]. So, we can use the distance formula as described previously to find the positive distance between the two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(1-(-4))^2+(3-(-6))^2}[/tex]
[tex]d=\sqrt{(1+4)^2+(3+6)^2}[/tex]
[tex]d=\sqrt{(5)^2+(9)^2}[/tex]
[tex]d=\sqrt{25+81}[/tex]
[tex]d=\sqrt{106}[/tex]
[tex]d \approx 10.295630141[/tex]
Since all of the given answer choices are in radical form, then C is the correct answer. The distance between the two points is [tex]\sqrt{106}[/tex] units.
Help please guys thankyouu
You have the right idea so far, but you forgot to finish it up.
Point slope form is
y - y1 = m(x - x1)
where m is the slope, and (x1,y1) is the point the line goes through. As you can see, we have infinitely many choices for (x1,y1). If you use the y intercept point (0,5), then
y - y1 = m(x - x1)
y - 5 = -1(x - 0) ..... this is one of infinitely many possible answers
OR
If you use the point (2,3), then we'd say
y - y1 = m(x - x1)
y - 3 = -1(x - 2) ..... which is another possible answer
There are infinitely many other choices, but I'm only picking the points in which your teacher has shown as big dots.
By the way, nice work on getting the correct answer for the slope-intercept form.
Step-by-step explanation:
(0,5)and (2,3)
[tex] m = \frac{y1 - y2}{x1 - x2} \\ = \frac{5 - 3}{0 - 2} \\ = - 1 \\ \\ m = - 1 \\ substitude (0,5)or (2,3) \\ substitude \: (0,5)for \: convenience \\ y = - 1x + b \\ 5 = b \\ y = - x + 5[/tex]
Brianliest please~
A square has a perimeter of 44m. What is the length of each side
Answer:
11
Step-by-step explanation:
44/4
Mr. Kevin pays $37.95 per month for his cell phone with unlimited minutes. At this rate, what will his cellphone
cost for the year
Answer:
$455.4 For The Year
Step-by-step explanation:
Kevin pays $ 37.95 per month for his cell phone with unlimited minutes
First, We know that there are 12 months in 1 year.
Therefore, 1 year = 12 months
The cost per month = $ 37.95
So, have to find the cost for 12 months
Cost for 12 months = 12 x 37.95
Cost for 12 months = 455.4
So your solution to the problem is $455.4 Cost for the year.
Los números 0, 4, -2, -1 ordenados de mayor a menor 4, .1, -.2 ,0 4, 0 -2, -1 .1,.2,0, 4 4, 0, -1, -2
Answer:
opción D
Step-by-step explanation:
El número más bajo es -2
Número mayor que -2 es -1
Número mayor que -1 es 0
Número mayor que 0 es 4
Entonces, el orden de mayor a menor es 4> 0> -1> -2
Por tanto, la opción D es correcta
Which of the following uses the reciprocal property to rewrite x/12 = 32/18 ?
Answer: A
Step-by-step explanation:
x/32 = 18/13
Find the value of x. Write your answer in simplest form.
Answer:
X=8
Step-by-step explanation:
[tex](8 \sqrt{2} ) ^{2} = {x}^{2} + {x}^{2} \\ 128 = 2 {x}^{2} \\ {x}^{2} = \frac{128}{2} \\ {x}^{2} = 64 \\ x = 8[/tex]
A reindeer runs 2014 miles in 3 hours. At that rate, how many miles does it run in 1 hour?
Answer:
about 671 miles
Step-by-step explanation:
2014m=3h
2014/3= about 671 miles an hour
Answer:
671.33 repeating
Step-by-step explanation:
2014/3=671.33
Help needed only if you can explain!!
Answer:
The probability is 1/41664.
To calculate the probability, write a fraction. The numerator is the number of ways the outcome can occur. The denominator is the number of different outcomes.
Thus, 1 is the number of outcomes we want. 41664 is the total number of different combinations possible.
Solve the equation to find where the treste ground levelEnter your answers from least to greatest and round to the nearest The meets the ground at and
Answer:
The trestle meets ground level at 0.875 units and 9.125 units
Step-by-step explanation:
Poorly formatted question.
The given equation is:
[tex]y = -x^2 + 10x - 8[/tex]
Required
The point where the trestle gets to the ground level
To do this, we set [tex]y = 0[/tex]
So, we have:
[tex]-x^2 + 10x - 8 = 0[/tex]
Multiply through by -1
[tex]x^2 -10x + 8 = 0[/tex]
Solve using quadratic formula:
[tex]x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
[tex]a = 1; b =-10; c = 8[/tex]
So, we have:
[tex]x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}[/tex]
[tex]x= \frac{-(-10) \± \sqrt{68}}{2*1}[/tex]
[tex]x= \frac{-(-10) \± 8.25}{2}[/tex]
[tex]x= \frac{10 \± 8.25}{2}[/tex]
Solve the fraction
[tex]x= 5 \± 4.125[/tex]
Split
[tex]x= 5 + 4.125\ or\ x= 5 - 4.125[/tex]
[tex]x= 9.125\ or\ x= 0.875[/tex]
