Write the equation of the line that passes through the points (8,1) and (-1,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y-3 = -2/9(x+1)
Step-by-step explanation:
Here, we want to find the standard equation
Generally, we have the equation as;
y = mx + b
where m is the slope of the line and b is the y intercept
To find the slope, we use the slope equation
m =y2-y1/x2-x1
m = (3-1)/(-1-8) = 2/-9 = -2/9
So to write in point slope form, we can use any of the two points
We have;
y-y1 = m(x-x1)
using (-1,3)
y-3 = -2/9(x+1)
the figure below is a square . Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex]\sqrt{14}[/tex]
Step-by-step explanation:
In any square with side length [tex]s[/tex], the diagonal of the square is equal to [tex]s\sqrt{2}[/tex]. Since the side length of this square is [tex]\sqrt{7}[/tex], the diagonal is equal to [tex]\sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}[/tex].
Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle, and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.
In this question, both legs are equal to [tex]\sqrt{7}[/tex], and we're solving for the diagonal, which is the hypotenuse in this case:
[tex]\sqrt{7}^2+\sqrt{7}^2=c^2,\\c^2=14,\\c=\boxed{\sqrt{14}}[/tex]
Determine the equation of the circle graphed below.
Answer:
[tex] (x + 7)^2 + (y + 4)^2 = 4 [/tex]
Step-by-step explanation:
The equation of a circle with radius r and center (h, k) is:
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
This circle has center (-7, -4) and radius 2.
The equation is:
[tex] (x + 7)^2 + (y + 4)^2 = 4 [/tex]
Describe fully the single transformation that mata tange onto anges
3
2
1
4
5320
4
2
-4
Answer:
mee.com/pbj-kbyh-bzm
join it fast
in one day a store sells 254 gallons of milk for a profit of -$0.17 each they also sell 51 half gallons of orange juice for a profit of 0.34 each what was the store's net profit for the day for these two items total
Answer:
-$25.84
Step-by-step explanation:
254* -0.17 = -$43.18 profit from milk
51 * .34 = $17.34 profit from OJ
-43.18 + 17.34 = -$25.84 profit total
Mr. O'Donnell goes to the store to buy a shirt. The shirt is $20, but he also has to pay a 9% tax. What is the total price he has to pay?
Answer:
The total price that he has to pay is $21.8.
Step-by-step explanation:
Mr. O'Donnell goes to the store to buy a shirt. The shirt is $20, but he also has to pay a 9% tax.
First you convert the sales tax percentage to its decimal form: in this case 9% becomes 0.09.
To calculate the cost of the tax, the following multiplication must be performed:
cost of product or service* sales tax (in decimal form) = total sales tax
In this case:
$20*0.09= $1.8
Finally, you must add the value of the total sales tax to the cost of the product or service to obtain the total cost. In this case:
$20 + $1.8= $21.8
So, the total price that he has to pay is $21.8.
A bank gives a woman personal loan of 120,000. she has to pay back 11,000 every month for a year. find the amount paid back to the bank as interest. pls h help
Multiply the amount she pays a month by number of months in a year:
11,000 x 12 = 132,000
Subtract the total amount she pays back by the loan amount:
132,000 - 120,000 = 12,000
The interest was $12,000
Thang decided to borrow $90 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 40%. How much interest will Thang pay?
Answer:
Step-by-step explanation:
P = 90
r = 40% = 40/100 = 0.4
t = 3 years
It is not clear to me what this means. Is the 40% for each year for 3 years or is the interest rate = 40% period. I know that in some of the poorer countries, this is not an unusual amount to pay for each year he holds the loan.
I will take it as 40% for each year for 3 years.
i = prt = 90 * 0.4 * 3
i = 108
Combining functions: Consider functions f and g.
Answer:
option C
Step-by-step explanation:
Help me or i will kill Shrek!
Answer:
pls dont kill my dad.. i cant help but please. hes the only thing i have left man
Step-by-step explanation:
i would so help if i could but i just really dont want shrek dead
Louise begins factoring the polynomial, which has four terms. 8x3+24x2+10x+30 2(4x3+12x2+5x+15) 2[4x2(x+3)+5(x+3)] Which is the completely factored form of her polynomial? 8x2(x + 3)2 2x(4x2 + 5) 2(4x2 + 5) (x + 3) 2(4x2 + 5) (x + 3)2
Answer:
[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]
Step-by-step explanation:
Given
[tex]8x3+24x2+10x+30= 2(4x^3+12x^2+5x+15)[/tex]
[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]
Required
The complete factored form
We have:
[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]
Factor out x + 3
[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]
The above represents the completely factored form
Answer:
C on edge
Step-by-step explanation:
I took the test
25 + 8 (7y - 3) + 3y
Answer:
59y+1
Step-by-step explanation:
25 + 8 (7y - 3) + 3y
Distribute
25+56y-24+3y
Combine like terms
59y+1
Identify each expression with a sum of x2 + 3x +1.
Answer:
There are no like terms.
Step-by-step explanation:
I need help very quickly, please!!
Answer:
32ft
Step-by-step explanation:
Tan = opp/adj
Tan(65) = n / 15
Tan(65) x 15 = n
n = 32.16 = 32ft
Answer:
32 feet
Step-by-step explanation:
Hi there!
We are given a right triangle and the angle of elevation (one of the acute angles in the triangle) as 65°, as well as one of the legs (sides that make up the right triangle) as 15
We need to find the height of the triangle.
Let's make the height of the triangle (the side we need to find) x
Since we need to find the height of the triangle, let's use tangent. As we have the angle of elevation given, we'll use that.
Recall that tangent is [tex]\frac{opposite}{adjacent}[/tex]
in reference to the angle of elevation, the opposite side is x, and the adjacent side is 15
that means that:
tan(65)=[tex]\frac{x}{15}[/tex]
plug tan(65) into your calculator (make sure it's on degree mode!)
tan(65)≈2.14
2.14=[tex]\frac{x}{15}[/tex]
multiply both sides by 15 to clear the fraction
32.1=x
The problem asks us to round to the nearest foot, so the height of the building is 32 feet
Hope this helps! :)
Kendra bought a gallon of milk and StartFraction 5 over 6 EndFraction of a pound of oranges. If the gallon of milk cost $3.60 and she spent a total of $4.35, which equation can be used to determine x, the cost of a pound of oranges?
3.60 + StartFraction 5 over 6 EndFraction x = 4.35
4.35 + StartFraction 5 over 6 EndFraction x = 3.60
3.60 x + StartFraction 5 over 6 EndFraction = 4.35
4.35 x + StartFraction 5 over 6 EndFraction = 3.60
Answer:
A. 3.60+5/6x=4.35
Step-by-step explanation:
Total cost = milk + price per pound of oranges* number of pounds
We know the total cost = 4.35 and the cost of the milk = 3.60 and the number of pounds of oranges = 5/6
4.35 = 3.6 +5/6 * x
Answer:
a
Step-by-step explanation:
5 out of every 11 children in a school are girls. What is the ratio of girls to boys in the school?
Findfind the value of each variable used in the figures if your answer is an integer express it in simples radical form
Answer:
c=2
Step-by-step explanation:
the sides of a 30-60-90 right triangle are in the ratio 1:[tex]\sqrt{3}[/tex]:2
f(x)=3(0.75)x exponential growth or exponential decay
A rhombus is cut along the diagonals to make four triangles.
Which three statements are correct for any rhombus.
A: All four triangles are isosceles.
B: All four triangles are congruent.
C: All four triangles are right-angled.
D: Perimeter of rhombus = 4 times the perimeter of one triangle.
E; Area of rhombus = 4 times the area of one triangle.
Answer:
B: All four triangles are congruent.
C: All four triangles are right-angled.
E; Area of rhombus = 4 times the area of one triangle.
Step-by-step explanation:
A rhombus is a quadrilateral with equal length of sides. It stands on one of its edges, and a simple example is the shape of a diamond. It has two diagonals which bisect the angles of the rhombus.
When a rhombus is cut along its diagonals, the following properties of the shape formed can be observed:
B: All four triangles are congruent.
C: All four triangles are right-angled.
E; Area of rhombus = 4 times the area of one triangle.
Help plz this is really hard for me
Answer:
Improper fraction: 13/10
Mixed number: 1 3/10
Decimal: 1.3
Step-by-step explanation:
Find common denominator: which is 30
Make each denominator equal 30, affecting the whole fraction:
6•2/15•2 + 3•3/10•3 + 3•6/5•6 =
12/30 + 9/30 + 18/30 = 39/30
Simplify: 39/30, divide both by 3: 13/10
And there is our answer!
Hope this helps, good luck! :D
Answer:
39/30
Step-by-step explanation:
6. Find the slope of the line that passes through the following 2
points. Use the slope formula.
(-2, 4) (2, 4)
Answer:
You would do the change in y over the change in x.
That means you subtract your y values and that's the numerator. Subtract your x values and that is your denominator. Then simplify.
(4 - 4)
______
(-2 - 2)
Step-by-step explanation:
Answer: y=4
Step-by-step explanation:
4 is the y-intercept. The slope is 0
Mohamed and Miguel go to the movie theater and purchase refreshments for their friends. Mohamed spends a total of $18.25 on two bags of popcorn and three
drinks. Miguel spends a total of $27.50 for four bags of popcorn and two drinks.
a) Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
b) Using your system from part a), determine and state the price of one bag of popcorn and the price of one drink.
Help me pls it’s number 8, will give brainliest but quickly pls
Write each number in standard form.
Answer:
35010
.08190
- 137000
- .00060041
Step-by-step explanation:
positive exponents add zeros to end and move decimal place to right the amount of the exponent.
negative exponents add zeros to begininng and move decimal to the left.
ADEF is a dilation of AABC by a scale factor of. Which of the following
proportions verifies that AABC and ADEF are similar?
15
12
5
O A.
DE BC
AB DF
OB.
AB
DE
EF
AC
OC. PRO
DE
ВС
OD.
DE
=
AC
DF
Answer:
c
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
DEF should be three times as big as ABC
AB = 5 ; DE = 5 x 3 = 15
AC = 3 ; DF = 3x 3 = 9
BC = 4 ; EF = 4 X 3 = 12
the options that correspond to this is option c
Use numerals instead of words
Answer:
Step-by-step explanation:
Put in the 3 and 4 so it is the square root of 3^4 - -6^2
The square root of 3^4 + 6^2
The square root of 3^4 is 3^2 so
9 + 6^2
=> 9 + 36
=> 45
45 in numerals is XLV
Can someone help me with this now !
Answer:
its either B or D.
Step-by-step explanation:
could you mark me brainliest pls or even hit the thanks button
Solve for x.
3x + 7
2x + 3)
Answer: x = 34
Step-by-step explanation:
2x+3+3x+7=180
5x+10=180
5x=170
x = 34
What combination of bracelets does dimitri have?
(Find m∠IGH) m∠IGH =
Answer:
∠IGH = 50°
Hope this helps! :)
please help to add this exponent:)
Question:
[tex](3.09 \times {10}^{6} ) + (5.83 \times {10}^{8} )[/tex]
Answer:
[tex]5.8609 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex](3.09 \times 10^6)+(5.83 \times 10^8)[/tex]
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
[tex]5.8609 \times {10}^{8} [/tex]
Hope it is helpful...