Answer:
The equation of the line is; y = 0.5·x + 2
Step-by-step explanation:
The points that define the line CD = C(-2, 1) and D(10, 7)
The equation of the line can be presented in the form of the general equation of a straight line, y = m·x + c
Where;
m = The slope of the line = [tex]\dfrac{7 - 1}{10 - (-2)} = \dfrac{1}{2} = 0.5[/tex]
c = The y-intercept
From the obtained slope, m = 0.5, using point D(10, 7), the equation of the line in point and slope form is therefore;
y - 7 = 0.5·(x - 10)
From the above equation of the line in point and slope form, we get the general form of the equation of the line as follows
y - 7 = 0.5·(x - 10) = 0.5·x - 5
y - 7 = 0.5·x - 5
y = 0.5·x - 5 + 7 = 0.5·x + 2
y = 0.5·x + 2
The equation of the straight line in general is y = 0.5·x + 2.
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
i dont know
Step-by-step explanation:
figure it out yourself
What is the length of AC?
A
8
B
C
O
Answer:
hi, it's 16 because:
[tex]ab = bc \\ ab = 8 \\ ac = 2 \times 8 = 16 \\ ac = 16[/tex]
Answer:
16
Step-by-step explanation:
Theorem: In a circle, if a radius is perpendicular to a chord, then the radius is the perpendicular bisector of the chord.
In this case, the radius containing points O and B is perpendicular to chord AC, so the radius bisects chord AC making AB = BC.
Also,
AB + BC = AC
By substitution, we have
AB + AB = AC
AC = 2AB
AC = 2(8)
AC = 16
calculate the exact value of 1 1/3- 3 5/6+ 5 1/9
[tex]\displaystyle\bf 1\frac{1}{3} -3\frac{5}{6} +5\frac{1}{9} =5+1-3+\frac{1^{/6}}{3} +\frac{1^{/2}}{9} -\frac{5^{/3}}{6}\\\\\\\ =3+\frac{6+2-15}{18} =3-\frac{7}{18}=\boxed{2\frac{11}{18} }[/tex]
What is the slope of the graph shown below
Answer:
B=-5
Step-by-step explanation:
Slope=rise/run
The line passes in
P1(-1,3)
and
P2(0,-2)
So slope=(3-(-2))/(-1-0)=5/-1=-5
(x2/5)n
For what value of n, written as a decimal, will the expression equal x?
Given:
The expression is:
[tex]\left(x^{\frac{2}{5}\right)^n[/tex]
To find:
The decimal value of n so that the value of the given expression is equal to x.
Solution:
We have,
[tex]\left(x^{\frac{2}{5}\right)^n[/tex]
This expression is equal to x.
[tex]\left(x^{\frac{2}{5}\right)^n=x[/tex]
[tex]x^{\frac{2}{5}n}=x^1[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
On comparing the exponents, we get
[tex]\dfrac{2}{5}n=1[/tex]
[tex]2n=5[/tex]
[tex]n=\dfrac{5}{2}[/tex]
[tex]n=2.5[/tex]
Therefore, the required value of n is 2.5.
jayce travels 30 miles per hour in her car.how many miles does she travel in 4 hours
Answer:
120 miles
Step-by-step explanation:
30 miles per hour * 4 hours
120 miles
Answer:
She travels 120 miles in 4 hours.
Step-by-step explanation:
She travel in 4 hours = 30 miles × 4 = 120 milesShe travels 120 miles in 4 hours
Please help me asap!
Answer:
Its 48
Step-by-step explanation:
subtract 69 and 56 from 173, what you have left is your answer
48
Step-by-step explanation:
total 176 subtract 69 and 58 since they are given.
176 - 69 -56 = 48
large pies cost £3.25 each
small pies cost £1.80 each
five children together buy 2 large pies and 1 small pie. they share the cost equally - how much does each child pay
Answer:
1.66 £
Step-by-step explanation:
(2 * 3.25 + 1.80) : 5 =
8.3 : 5
1.66 £
What is the slope of the line? What is the y-intercept of the line? y = 1
Answer:
m = 0
y intercept = 1
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = 1[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = 0 [/tex]
[tex]\implies y - intercept= 1[/tex]
Slope of the line is 0, since y=mx+c, if m = 0, then y = c, where the constant (c)=1
y intercept of the line is y = 1.
Answered by GAUTHMATH
Tickets to a football final are selling well. On Thursday, 47 of the tickets are sold. On Friday, 14 of the tickets are sold. What fraction of tickets are available to sell on Saturday?
The question seems incomplete ; as the total number of tickets to be sold isn't given.
Answer:
61 / X
Step-by-step explanation:
Let's take the total Number of tickets to be sold as : X
Number of tickets sold on Thursday = 47
Number sold on Friday = 14
Fraction of tickets available for sale on Saturday :
(Total number of tickets already sold) / Total number of tickets to be sold
(Thursday + Friday sales) / total number of tickets to be sold
Fraction available for sale on Saturday = (47+14) / X
Fraction available for sale on Saturday = 61 / X
Kindly put value of x = total number of tickets available for sale to get the exact fraction.
Please help me with this problem
Answer:
Step-by-step explanation:
a*b *c = abc
15c = 15 . c
2a * 10b = 2* 10 * a * b = 20ab
The above mentioned expressions are true
That are false
12ab = 12a * 12b ----> false because 12ab = 12 * a* b
7a *7b = 14ab is false because 7a * 7b = 7 * 7* a *b = 49ab
Instructions: Find AB. given that line AD is the perpendicular bisector of BC.
Answer:
19
Step-by-step explanation:
because line a d divided the triangle ABC into two equal halves therefore line a b is equal to line AC which is equal to 19
Instructions: Find the measure of
Answer:
93
Step-by-step explanation:
Add the two angles 48 and 39 =87. 180-87=93
What is the image of (-6, -2) after a dilation by a scale factor of 4 centered at the origin?
The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
To find the image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin, we can use the following formula:
(x', y') = (kx, ky)
where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, k is the scale factor, and (0, 0) is the center of dilation.
Substituting the values given in the problem, we get:
(x', y') = (4*(-6), 4*(-2))
Simplifying,
(x', y') = (-24, -8)
Therefore,
The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).
Learn more about scale factors here:
https://brainly.com/question/20759556
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Find the area of the triangle bounded by the lines y=x y=-x and y=6.
The area of the triangle bounded by the lines y=x y=-x and y=6 is 36 units.
What is area of triangle?The formula for finding area could be represented in the form of determinants as given below.
[tex]A = \frac{1}{2} \left[\begin{array}{ccc}x1&y1&1\\x2&y2&1\\x3&y3&1\end{array}\right][/tex]
First, we need to find the coordinates of the point of intersection of these lines.
y = x
y = -x
Adding the two equations,
2y = 0
y = 0
x = 0
coordinate: (0, 0)
y = x
y = 6
Subtracting the two equations,
0 = x - 6
x = 6
coordinate: (6, 6)
y = -x
y = 6
Subtracting the two equations,
- x - 6 = 0
x = -6
coordinate: (-6, 6)
Calculating area of triangle bounded by the given line:
Area of triangle =
[tex]\frac{1}{2}\left[\begin{array}{ccc}0&0&1\\6&6&1\\-6&6&1\end{array}\right][/tex] = [tex]\frac{1}{2} (36 + 36) = \frac{72}{2} = 36[/tex]
Learn more about area of triangle here
https://brainly.com/question/19305981
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A department store holds a year-end clearance sale that includes a 5.5% discount on cosmetics. Find the sale price of a bottle of perfume if its original price was $48.41.
Answer:
Sale price = $45.75
Step-by-step explanation:
Original price = $48.41
Percentage Discount = 5.5%
Amount of discount = Percentage Discount × Original price
= 5.5% × $48.41
= 5.5/100 × $48.41
= 0.055 × $48.41
= $2.66255
Sale price = Original price - Amount of discount
= $48.41 - $2.66255
= $45.74745
Approximately,
Sale price = $45.75
Express each of the following negative angles as its equivalent positive angle between 0°and360°
+120°
Answer:
Dilated pupils
Long periods of wakefulness
Loss of appetite
Overconfidence
Over-excitement
Paranoia
Runny nose or frequent sniffles
White powder around nostrils
Legal issues
Missing or being late to work
Financial problems
Mood swings
Irritability
Depression
A bag contains 6 black tiles, 5 white tiles, and 4 blue tiles. Event A is defined as drawing a white tile from the bag on the first draw, and event B is defined as drawing a black tile on the second draw. If two tiles are drawn from the bag, one after the other without replacement, what is P(A and B) expressed in simplest form? A. 4/45 B. 1/7 C. 4/15 D. 5/14
Answer:
5/14
Step-by-step explanation:
There are 15 tiles in total
5 white| 6 black | 4 blue
event A results in the subject pulling a white tile and not replacing it
5-1= 4
so the first answer should be 4/15
event B results in the subject pulling another tile, a black one and not replacing it.
6-1= 5
given this answer, there is one less tile in the total, since we removed another tile.
So our answer would be-
5/14 or D
Annie invests $400 in a bank that offers 5.5% simple annual interest after 6 years her investment will increase by blank dollars
Answer:
Her investment will increase by 551.54 dollars
Step-by-step explanation:
So we know that the exponential function formula is f(x)=a(1+r)^x
So knowing that we can input values
So now we have f(x)=400(1+0.055)^6
Since it is annual we will only have the interest yearly so that changes are equation to look like this f(x)=400(1+0.055/1)^6
So next we have to add 1 and 0.055 which is 1.055
So we input that into the equation so now we have f(x)=400(1.055/1)^6
Now we have to do (1.055/1) to the power of six, so we get 1.37884280676
Now we have to 1.37884280676 times 400, which would be 551.537122705.
Assuming they want to the nearest 100th it would be 551.54
So the answer is 551.54 dollars
Hopefully, that helped. If I made any mistake or I am incorrect feel free to correct me. :)
Will give brainliest!!!
2.6(5.5p – 12.4) = 127.92
p=
Answer:
[tex]p=11.2[/tex]
Step-by-step explanation:
Given [tex]2.6(5.5p-12.4)=127.92[/tex], distribute to remove the parentheses:
[tex]2.6\cdot 5.5p-2.6\cdot 12.4=127.92[/tex]
Simplify:
[tex]14.3p-32.24=127.92[/tex]
Add 32.24 to both sides:
[tex]14.3p=160.16[/tex]
Divide both sides by 14.3:
[tex]p=\frac{160.16}{14.3}=\boxed{11.2}[/tex]
convert 9.56 cm = ________________ M
Answer:
[see below]
Step-by-step explanation:
There are 100 cm in a meter.
9.56/100 = 0.0956
Hope this helps you.
(PS: You can mark the other user as Branliest)
The triangles are similar.
What is the value of x?
Enter your answer in the box.
The sales tax rate for the state of Washington was 7.6%.
What is the state sales tax on a $5,300 car in WashingtoN
What is the final cost of the car, including tax?
Answer:
Sales tax: 402.80 Final cost: 5,702.80
Step-by-step explanation:
Sales price x sales tax rate = sales tax
5300 x .076 (7.6%) = 402.80
Sales price + tax = final cost
5300 + 402.80 = 5702.80
What is the order of rotational symmetry of a regular pentagon?
Answer:
yeet
Step-by-step explanation:
urmom
help asap ---- ---- ---- ---- ----v ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ----
Given:
The graph of h(x) is the greed dashed line segment.
To find:
The endpoints of the function [tex]h^{-1}(x)[/tex].
Solution:
If (a,b) is the point on the graph of the function f(x), then (b,a) must be the point on the inverse function [tex]f^{-1}(x)[/tex]
From the given graph, it is clear that the endpoint of the line segment h(x) are (-8,1) and (3,-4).
So, the endpoints of the inverse function [tex]h^{-1}(x)[/tex] are (1,-8) and (-4,3).
Therefore, the endpoints of [tex]y=h^{-1}(x)[/tex] are (1,-8) and (-4,3), and the graph is shown below.
add: -38+6+27+(-8)+126
Answer:
113
Step-by-step explanation:
I need the answer ASAP anyone could help me please
Answer:
Is it the answer is C?
2+4+3+5+1=15
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?
(negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot)
(negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot)
{–12, 2}
{–2, 12}
Answer:
(-12,2)
Step-by-step explanation:
x^2 + 10x = 24
x^2 + 10x + (10/2)^2 = 24 + (10/2)^2
10/2 = 5
5^2 = 25
x^2 + 10x + 25 = 24 + 25
x^2 + 10x + 25 = 49
(x + 5)^2 = 49 Take the square root of both sides
(x + 5) = sqrt(49)
x + 5 = +/- 7
x = +/- 7 - 5
x = +7 - 5 = 2
x = -7 - 5 = -12
Answer:
{ -12 , 2}
Step-by-step explanation:
x² + 10x = 24
In order to complete the square, the equation must first be in the form x² + bx =c.
x² + 10x = 24Divide 10, the coefficient of the x term, by 2 to get 5. Then add the square of 5 to both sides of the equation. This step makes the left hand side of the equation a perfect square.
x² + 10x + 5² = 24 + 5²expand exponents.
x² + 10x + 25 = 24 + 25Add 24 and 25
x² + 10x + 25 = 49Factor x² + 10x + 25. In general, when x² + bx + c is a perfect square, it can always be factored as ( x + b/2)².
( x + 5 )² =49Take the square root of both sides of the equation.
[tex] \small \sf \sqrt{(x + 5) {}^{2} } = \sqrt{49} [/tex]
simplify
x + 5 = 7x + 5 = +/- 7Subtract 5 from both sides.
x + 5 - 5 = 7 - 5
x = 2x + 5 - 5 = +/- 7 -5
x = -7 - 5 = -12Sven determined that the x-coordinate is approximately 3.6 because the point is closer to 4 than 3 and seems to be a little more than halfway between them. What is the approximate value for the y-coordinate? y Almost-equals –1.1 y Almost-equals –1.4 y Almost-equals –1.8 y Almost-equals –1.9
Answer:
The answer is "[tex]y\approx 1.4[/tex]".
Step-by-step explanation:
In the given question the y-coordinates range between -1 to -2. Its distance between -1 and -2 is near, and less than halfway.
Answer:
b
Step-by-step explanation:
What is the measure of x in the figure below?
Answer:
115 degree
Step-by-step explanation:
x + 65 = 180 (Sum of angles in a straight line = 180 [Also known as Linear pair])
x = 180 - 65
x = 115 degree
