ANSWER
y - 3 = -8/5 (x + 5)
EXPLANATION
The point-slope form of the equation of a line, that has a slope m and passes through point (x1, y1) is:
[tex]y-y_1=m(x-x_1)[/tex]In this problem m = -8/5 and the given point is (-5, 3). The equation is:
[tex]y-3=-\frac{8}{5}(x+5)[/tex]Error Analysis A classmate finds the area of a circle with radius 30 in. to be s 900 in.2. What error did your classmate make? Your answer
radius = 30 in
Area = 900 in^2
To calculate the area of a circle, use the equation A = pi r^2
His mistake was that he did not multiplicate by pi (3.1416)
The actual area = (3.1416)(30)^2
A = 2827.44 in^2
Find the midpoint between (31, 7) and (–17, 19).
(7, 13)
(14, 26)
(19, 1)
(24, –6)
Answer:
It's (7, 13) not sure how to explain that
What would be the Area in square inches of a rectangle with a length of radial 279 in and a width of radial 31 in
(You do not have put the units in your answer)
The area of rectangle in square inches is 8649 inches .
What is mensuration ?The subject of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.
Mensuration is the name given to the area, volume, and length of various geometric shapes in mathematics. These shapes can be found in either two or three dimensions.
Mensuration is the process of calculating various shape parameters, such as the perimeter, area, and volume, whereas geometry is the study of the characteristics and relationships between the points and lines that make up different shapes.
Calculationthe area of rectangle will be = length * width
therefore just substituting the values given in the question
thus ,
area will be = 279 * 31
= 8649 square inches
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Mikki used 18 tea bags to make 4 quarts of
iced tea. How many tea bags did Mikki use for
each quart of iced tea?
Answer:
[tex] \frac{18}{4} [/tex]
Step-by-step
4.5
Find the value of each variable and the measure of each labeled angle
The 'x' and 'y' variables and the 4 angles are highlighted in the boxes
If sin - cos = 0 , then the value of sin^4 + cos^4 is
Answer:
sinθ-cosθ = 0
sinθ= cosθ
sinθ/cosθ = 1
tanθ = 1
Bu tan45 = 1
So,
tanθ=tan45
θ = 45°
sin45 = 1/√2 cos45 = 1/√2
sin⁴θ+cos⁴θ = (1/√2)⁴+(1/√2)⁴
= 1/4+1/4 = 2/4 = 1/2 = 0.5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope this helped you..................
The perimeter of a kite can be found using the formula P = 2S + 2L. Which
equation expresses S in terms of P and L?
Answer:
S = ( P - 2L) / 2
Step-by-step explanation:
P = 2S + 2L
P - 2L = 2S
(P - 2L) / 2 = S
Hope this helps :D
I NEED ANSWER REALLY FAST IN GEOMETRY 40 POINTS
The diagram shows a certain construction technique. If
mABF = x + 10x - 1, mCBF = 12x + 7,
what is mLCBF?
Need help on this question ASAP On a sunny day, a 3-foot red kangaroo casts a
shadow that is 5 feet long. The shadow of a nearby
eucalyptus tree is 7 feet long. Find the height of the
tree.
Answer:
i think it is 5 feet
Step-by-step explanation:
i hope this helps
If you received $175.84 on $314 invested at a rate of 7%, for how long did you invest the principal?
The principal amount was invested for 8 Years.
In the given question, it is stated that when $314 was invested as the Principal amount, it got an Interest of $175.84 at an interest rate of 7%. We have to find out the total period of time the principal amount was kept and got interested in in order to complete the interest amount of $175.84.
To calculate the Interest, we know that the formula for Simple Interest is:
=> S.I. = (P*R*T)/100, where P = Principal amount, R = Rate of Interest, and T is the Time period. Now, putting values in the formula we get:
=> S.I. = (P*R*T)/100
=> 175.84 = (314*7*T)/100
=> T = 17584/2198
=> T = 8
Hence, we get Invested Time for 8 years.
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NEED HELP ERGENT!!!
Round
your answer to the nearest tenth of a mile.
Three boats are at sea: Jenny one (J1), Jenny two (J2), and Jenny three (J3). The crew of
J1 can see both J2 and J3. The angle between the line of sight to J2 and the line of sight to
J3 is 45 degrees. If the distance between J1 and J2 is 2 miles and the distance between J1
and J3 is 4 miles, what is the distance between J2 and J3?
The distance between J1 and J2 is 2.94 miles using cosine rule.
What is cosine rule?
Cosine rule relates to the lengths of the sides of a triangle with any of its angles being a cosine angle. With the help of this rule, we can calculate the length of the side of a triangle or can find the measure of the angle between the sides.
cos x = ([tex]b^{2} +c^{2} -a^{2}[/tex])/2bc
x = 45
b = 4
c = 2
to find a
cos 45 = 4(4) +2(2) - [tex]a^{2}[/tex]/2(4)(2)
1/[tex]\sqrt{2}[/tex] = 16 +4 - [tex]a^{2}[/tex]/16
16/[tex]\sqrt{2}[/tex] = 20 - [tex]a^{2}[/tex]
a = 2.94
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100 POINTS + BRAINLEIST
Answer:The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases. If MN is the midsegment of trapezoid ABCD, then MN || AB, MN || DC, and MN = (AB + CD).
Step-by-step explanation:
Answer:
MN is 1/2 of DC
Step-by-step explanation:
DC= 44
MN= 22
8 grade, help please!!!
Answer:
Yes the triangles are congruent.
Step-by-step explanation:
You are going to move all the points 2 units to the left and 4 units up.
Look at the vertices of the triangle. The points are (0,1) and (-5,0) and (2,-5). If we moved all three of these points to places to the left and 4 up, they would be at (-2,4), (-7,4) and (0,-1) This would make a image that is a congruent triangle. You have just translated the original triangle 2 places to the left and 4 places up.
Shape T is reflected in the line x = -1 to give shape R.
Shape R is reflected in the line y = -2 to give shape S.
Describe the single transformation that will map shape T to shape S.
Imagine putting a mirror on the page and adding a reflection. You must identify the line in which the shape is mirrored when describing a reflection. The sum of the transformations can be referred to as a single transformation.
How would you describe a single transformation reflection?Imagine putting a mirror on the page and adding a reflection. You must identify the line in which the shape is mirrored when describing a reflection. Every point of a shape will be separated from the line of reflection by the same amount as the reflected point is separated from the line.
There are occasions when a shape is altered in more than one step, such as when a rotation is followed by a reflection. Typically, the sum of the transformations can be referred to as a single transformation.
Enlargements are a particular kind of transformation where the original shape's size is altered by multiplying it by a scale factor to make it bigger or smaller. To employ a center of enlargement, lines must be drawn from the center via the original shape's vertices. They are known as ray lines.
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PLease help me with this!!
The linear equation is:
y = -6*x + 59
The slope is -6, and means that each hour the distance decreases by 6 miles.
The y-intercept is 59, and it is the initial distance to the waterfall.
How to get the linear equation?A general linear equation in the slope-intercept form is:
y = a*x + b
Where a is the slope (also called the rate of change) and b is the y-intercept.
We know that if the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope is:
a = (y₂ - y₁)/(x₂ - x₁).
Here we can define the variables:
y = distance
x = hours.
Then we have two points (8, 11) and (9, 5).
So the slope is:
a = (5 - 11)/(9 - 8) = -6
This means that the distance to the waterfall decreases by 6 miles each hour.
Then the linear equation is like:
y = -6*x + b
To find the value of b we can use any of the given points, I will use (9, 5), this means that:
5 = -6*9 + b
5 = -54 + b
54 + 5 = b
59 = b
This is the y-intercept, and gives the initial distance to the waterfall.
The equation is:
y = -6*x + 59
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A dice is rolled 2 times. What is the probability of showing a 4 on every roll?
Since we are rolling a die twice
The possible out come of rolling a die is
[tex]\mleft\lbrace1,2,3,4,5,6\mright\rbrace[/tex]Therefore, the probability of getting a 4 on every roll is
[tex]P(\text{getting a 4 on every roll) }=P(1st\text{ 4) and P(2nd 4)}[/tex]From the sample outcome above
P(of 4) = 1/6
Therefore
[tex]\begin{gathered} P(\text{getting a 4 on every roll)}=\frac{1}{6}\times\frac{1}{6} \\ P(\text{getting a 4 on every roll)}=\frac{1}{36} \\ P(\text{getting a 4 on every roll)}=0.0278 \end{gathered}[/tex]Therefore, thr porbability is 0.0278
60 - 18 / 2 + 4 + 10 / 2 = 12
Answer:60 =12
Step-by-step explanation:
Find k such that f(x) = x^4+ kx³ + 2 has the factor x + 1.
K = 1 is the value when x = - 1 is Factor of equation .
Why do we use the term factors?
A factor is a number that completely divides another number. In other words, if multiplying two whole numbers results in a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Factors can be found using either division or multiplication.As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.f(x) = x^4+ kx³ + 2
x + 1 = 0
x = -1 put in equation
(-1)⁴ + k( -1)³ + 2 = 0
1 - k + 2 =0
k = 1
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amber wants to have $300,000
Answer:
i hope i can answer your question
Step-by-step explanation:
Amber wants to have $300,000 so i don't see another number that you can solve on maybe type that first so i can answer please
Any help can’t get the answer right
Answer:
-2
Step-by-step explanation:
f(x) = 2x, g(x) = x - 4
f(g(3)) = f(-1) = 2(-1) = -2
Please help me get a 100%!
Answer: D) there are no solutions.
Step-by-step explanation:
8. For the following function, state the range.
Answer: [tex]y \geq 1[/tex]
Step-by-step explanation:
The range of a function is the set of y-values.
Your six year and three month investment of $40,000 at 14% compound interest is worth how much now?
Answer:
price ×time×rate/100 40000×6×14/100
33600
What is the constant of proportionality in the equation y=3x, equals, 3, x?
constant of proportionality =equals
, The constant proportionality is 3
What is Proportionality Constant ?
The proportionality constant is the ratio between two variables that varies directly . For directly proportional variables, their ratio is always a constant and this constant is the proportionality constant.
Now, We have the equation is:
y = 3x
To get the constant of proportionality,
we will derive both sides of the equation by x.
y/x = 3x/x
y/x = 3
Hence, The constant proportionality is 3
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Under her cell phone plan, Mayerlin pays a flat cost of $55 per month and $5 per
gigabyte. She wants to keep her bill under $70 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Mayerlin can
use while staying within her budget.
The inequality can be represented as 55 + 5x < 70
what is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
Mayerlin pays a flat cost of $55 per month and $5 per gigabyte.
She wants to keep her bill under $70 per month.
let x be the number of gigabytes Mayerlin can use.
So, the inequality can be represented as
55 + 5x < 70
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Tea that sells for $2.00 a pound is mixed with a different tea that sells for
$5.00 a pound to produce 40 pounds of a custom blended tea that will
sell for $4.25 a pound. How many pounds of the less expensive tea
should be used in the mixture?
(1) 10
(2) 15
(3) 25
(4) 30
Pls show work
The pounds of the less expensive tea used in the mixture is 10 pounds.
The correct option is Option(1) 10.
Given:
Price of less expensive tea = $2.00
Price of expensive tea = $5.00
Price of custom-blended tea = $4.25
The total price of 40 pounds of custom blended tea = 40 × $4.25
= $170
Let the pounds of the less expensive tea used in the mixture be x pounds.
So, the pounds of expensive tea = 40-x
Now, the equation is
2x + 5(40 - x) = 170
2x + 200 - 5x = 170
3x = 30
x = 10 pounds
Therefore, there are 10 pounds of less expensive tea.
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The cost of belonging to a gym can be modeled by C(m) = 50m + 79.50, where C(m) is the totalcost for m months of membership.State the meaning of the slope and y-intercept of this function with respect to the costs associatedwith the gym membership.Show all steps
Given:
The cost of belonging to a gym can be modelled by,
[tex]C\left(m\right)=50m+79.50[/tex]To find:
The slope and the y-intercept
Explanation:
The equation is of the slope-intercept form of the linear equation,
[tex]y=mx+c[/tex]Where m is the slope and c is the y-intercept.
Comparing we get,
[tex]\begin{gathered} m=50 \\ c=79.50 \end{gathered}[/tex]Here, the slope represents the cost per month of membership and the y-intercept represents the fixed initial fee to be given to the gym for joining.
Final answer:
• The slope is 50.
,• The y-intercept is 79.50.
I need help with this please someone help its due today
Answer:8
Step-by-step explanation:
2+6=8
Answer:
8 ghdhlhskgslhdlhskgz
If the first two terms of an arithmetic sequence are 3 and 9, what would be the explicit equation for this sequence?
The explicit equation of the sequence is an = 3 + (n-1)*6
First term = 3
Second term = 9
A series of numbers in mathematics whose each term is always expressed as a, a+d, a+2d, or a+3d. An arithmetic progression is defined as a + (n-1)d, where a is the first term,d is the common difference of the series and n is the number of terms in the sequence
Any two continuous terms in the arithmetic sequence differ by the same number.
Arithmetic sequence is given by an = a + (n-1)d
So, the common difference = 9-3 = 6
a = 3
Substituting the values in the formula we get:
For nth term: an = 3 + (n-1)*6
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(-2)^-3 how would i do this
Answer:
[tex]\frac{-1}{8}[/tex]
Step-by-step explanation:
To make the -3 positive, you put the power under 1.
[tex]\frac{1}{(-2)^{3} }[/tex] This means [tex]\frac{1}{-2}[/tex] x [tex]\frac{1}{-2}[/tex] x [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{-8}[/tex] Which means the same as[tex]\frac{-1}{8}[/tex]