Answer:
[tex]-x - y = 2[/tex].
Step-by-step explanation:
If the slope of a line in a plane is [tex]m[/tex] and the [tex]y[/tex]-intercept of that line is [tex]b[/tex], the slope-intercept equation of that line would be [tex]y = m\, x + b[/tex].
Rearrange the equation of the given line [tex]-x + y = 7[/tex] in the slope-intercept form to find the slope of this line:
[tex]-x + y = 7[/tex].
[tex]x -x + y = x + 7[/tex].
[tex]y = x + 7[/tex].
Notice that in the slope-intercept equation of this given line, the coefficient of [tex]x[/tex] is [tex]1[/tex]. Thus, the slope of the given line would be [tex]m_{1} = 1[/tex].
Two lines in a plane are perpendicular to one another if the product of their slopes is [tex](-1)[/tex]. In other words, if [tex]m_{1}[/tex] and [tex]m_{2}[/tex] are the slopes of two lines perpendicular to each other, then [tex]m_{1}\, m_{2} = (-1)[/tex].
Since [tex]m_{1} = 1[/tex] for the given line, the slope of the line perpendicular to this given line would be:
[tex]m_{2} = (-1) / m_{1} = (-1) / 1 = -1[/tex].
If the slope of a line in a plane is [tex]m[/tex], and that line goes through the point [tex](x_{0},\, y_{0})[/tex], the equation of that line in point-slope form would be:
[tex]y - y_{0} = m\, (x - x_{0})[/tex].
The slope of the line in question is [tex]m = (-1)[/tex]. It is given that this line goes through the point [tex](-1,\, -1)[/tex], where [tex]x_{0} = (-1)[/tex] and [tex]y_{0} = (-1)[/tex]. Thus, the equation of this line in point-slope form would be:
[tex]y - y_{0} = m\, (x - x_{0})[/tex].
[tex]y - (-1) = (-1)\, (x - (-1))[/tex].
[tex]y + 1 = -(x + 1)[/tex].
Rearrange this equation to match the format of the choices:
[tex]y + 1 = -x - 1[/tex].
[tex]x + y = -2[/tex].
[tex]-x - y = 2[/tex].
Calculate the distance between the points M=(−6, 1) and F = (1, −7) in the coordinate plane.
Answer:
let M point x1, Y1 and f point X2,y2 then we know the formula of distance root (x2-x1)^2+(y2-y1)^2 then you will found the distance
if the circle passing through the point (-1,0) touches the y- axis at (0,2) then what's the equation of the circle?
Answer:
(x +2.5)² +(y -2)² = 6.25
Step-by-step explanation:
A radius of a circle is perpendicular to the tangent line at the point of tangency. This means the center of the circle lies on the horizontal line through the point (0, 2), which is on the vertical tangent x=0 (the y-axis).
The center of a circle lies on the perpendicular bisector of any chord, so the perpendicular bisector of the given two points will pass through the circle center.
__
equation of the chord bisectorThe slope of the chord between the given points is found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (2 -0)/(0 -(-1)) = 2 ⇒ perpendicular has slope -1/2
The midpoint of the chord is ...
M = (A +B)/2 = ((0, 2) +(-1, 0))/2 = (-1, 2)/2 = (-1/2, 1)
The point-slope form of the perpendicular through the midpoint of the chord is ...
y -1 = -1/2(x -(-1/2))
__
center of the circleFor y = 2, the x-value is ...
2 -1 = -1/2(x +1/2)
-2 = x +1/2 . . . . . . multiply by -2
-2.5 = x . . . . . . . subtract 1/2
The circle center is (-2.5, 2), and the radius is 2.5 (distance from center to y-axis).
__
equation of the circleThe equation can be written as ...
(x -h)² +(y -k)² = r² . . . . . . circle with center (h, k) and radius r
(x -(-2.5))² +(y -2)² = 2.5²
(x +2.5)² +(y -2)² = 6.25
In the diagram, the height of the cone is 3 times the
radius. The volume of the cone is 343 Pie cm^3?. What is the
height of the cone?
Answer:
height = 21 cm
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
h = 3rVolume = 343π cm³Substituting given values into the formula and solving for r:
[tex]\implies \sf 343 \pi=\dfrac{1}{3} \pi r^2(3r)[/tex]
[tex]\implies \sf 343=\dfrac{1}{3}\cdot3r^3[/tex]
[tex]\implies \sf 343=r^3[/tex]
[tex]\implies \sf r=\sqrt[3]{343}[/tex]
[tex]\implies \sf r=7\:cm[/tex]
As h = 3r, substitute found value of r into the equation and solve for h:
[tex]\implies \sf h = 3r[/tex]
[tex]\implies \sf h=3(7)[/tex]
[tex]\implies \sf h=21\:cm[/tex]
If you have 2 cups and need 2tbsp how many servings can I get from the 2 cups
Answer:
16 servings
Step-by-step explanation:
there are 16 tablespoons in one cup so 16+16 is 32. then you divide that by 2 or you get 16 servings
If a = {6 6 4 7 -4 4 -6 9 -3} and B= {1 5 -8 9 -5 -8 9 -5 2}, find 3a +9B Matrix operations
Answer:
[tex]3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}[/tex]
Step-by-step explanation
[tex]A=\begin{bmatrix} 6 & 6 & 4\\\\7 & -4 & 4\\\\ -6 & 9 & -3\end{bmatrix}\: and \: B=\begin{bmatrix}1 & 5 & -8\\\\ 9 & -5 & -8\\\\ 9 & -5 & 2\end{bmatrix}[/tex][tex]\rightarrow 3A=3\begin{bmatrix} 6 & 6 & 4\\\\7 & -4 & 4\\\\ -6 & 9 & -3\end{bmatrix},\: \: 9B =9\begin{bmatrix}1 & 5 & -8\\\\ 9 & -5 & -8\\\\ 9 & -5 & 2\end{bmatrix}[/tex][tex]\rightarrow 3A=\begin{bmatrix} 3*6 & 3*6 & 3*4\\\\3*7 & 3(-4) & 3*4\\\\ 3(-6) & 3*9 & 3(-3)\end{bmatrix},\:\: 9B =\begin{bmatrix}9*1 &9* 5 &9( -8)\\\\ 9*9 & 9(-5) & 9(-8)\\\\ 9*9 & 9(-5) & 9*2\end{bmatrix}[/tex][tex]\rightarrow 3A=\begin{bmatrix} 18 & 18 & 12 \\\\ 21 & -12 & 12\\\\ -18 & 27 & -9\end{bmatrix},\:\: 9B =\begin{bmatrix} 9 & 45 & -72 \\\\ 81 & -45 & -72\\\\ 81 & -45 & 18\end{bmatrix}[/tex][tex]\rightarrow 3A+9B=\begin{bmatrix}18+9 & 18+45 & 12+(-72) \\\\ 21+81 & -12 +(-45) & 12+(-72)\\\\ -18+81 & 27+(-45) & -9+18 \end{bmatrix}[/tex][tex]\rightarrow 3A+9B=\begin{bmatrix} 18+9 & 18+45 & 12-72 \\\\ 21+81 & -12 -45 & 12-72\\\\ -18+81 & 27-45 & -9+18 \end{bmatrix}[/tex][tex]\rightarrow \purple{\bold{3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}}}[/tex]A. 23.7
B. 11.2
C. 9.5
D. 57.3
E. 30.0
F. 6.0
Answer:
its f
Step-by-step explanation:
A line contains the two points plotted in the coordinate plane below.
What is the slope of the line?
Answer:
The slope would be 3.
Step-by-step explanation:
The formula for finding slope is [tex]\frac{y1-y2}{x1-x2}[/tex]
We can plug these numbers into the equation by doing [tex]\frac{1--5}{2-0}[/tex]
1--5 is equal to 1+5, which is 6.
2-0 is equal to 2.
[tex]\frac{6}{2}[/tex] is 3, which is how you get your answer.
I hope this helps! :)
Find the area of the polygon. 10cm 10cm 16cm
Answer:
see the attachment photo!
A class quiz has 5 multiple-choice questions and each question has 4 possible answers (A, B, C, or D). Which spinner would best simulate this scenario?
A spinner with 2 equal sections.
A spinner with 4 equal sections. (correct)
A spinner with 6 equal sections.
A spinner with 8 equal sections.
so your question is
A class quiz has 5 multiple-choice questions and each question has 4 possible answers (A, B, C, or D). Which spinner would best simulate this scenario?
A spinner with 2 equal sections.
A spinner with 4 equal sections.
A spinner with 6 equal sections.
A spinner with 8 equal sections.
Ur answer is B..... hope this helps .... please mark Brainliest , or u don't have to its fine
The perimeter of a rectangle is 84cm if the width of rectanle is 16 cm Find its lenth.
sử dụng mô hình AD-AS phân tích cơ chế tác động của xuất khẩu ròng tới mức giá chung, việc làm và sản lượng.
All of the following are negative examples of how climate change has impacted the Earth EXCEPT...
A. Destruction of coral reefs
B. Extinction risk for animals
C. Longer farming season
Answer:
C is the answer
Step-by-step explanation:
C. is only saying how farming seasons would be longer and is not an example of how climate change has impacted the Earth.
Answer:
I believe the answer to your question is the third answer (C).
Step-by-step explanation:
The reason why I chose the third answer is because the destruction of coral reefs is bad because multiple organisms in the water rely on them and if it's destroyed there will be a chain reaction with the ecosystem in a bad way. In addition, it is also not an extinction risk for animals because it is also a disadvantage because biodiversity will decrease and that will also cause problems. I believe a longer farming season is the answer because food and other things that farmers have to grow will last for longer periods of time and won't really disrupt anything going on in the ecosystem I think. I hope this helps although it may be wrong. I am not an expert when it comes to this type of stuff.
The right rectangular prisms are similar. which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.
The true statement about the right rectangular prisms include:
The angles in the smaller prism measure 90 degrees. The perimeter of the rectangular bases changes by a factor of 2.The rectangular bases changes by a factor of 4.How to illustrate the prism?It should be noted that a prism simply means a shape that has two identical shapes that face each other.
Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.
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Answer:
1,2, and 5
Step-by-step explanation:
look at the image and please help
whats the next term of arithmetic sequence 24,16,8,0
Explanation:
The jump from 24 to 16 is -8
The jump from 16 to 8 is also -8
Each time we need a new term, we add on -8 which is the common difference. So we'll add -8 to 0 to get 0 + (-8) = 0 - 8 = -8 as the next term.
If you wanted another term after that, then it would be -8 + (-8) = -8-8 = -16
Then the next term after that is -16+(-8) = -16-8 = -24, and so on.
Answer:
-8
Step-by-step explanation:
each time its going down by 8 meaning it would be -8
Mr. Sanchez is pulling his luggage across the airport floor. He applies a 22-newton force to the handle of the bag when the bag makes a 72-degree angle with the floor. Find the magnitudes of the horizontal and vertical components of the force. Round your answers to the nearest tenth.
9 hundreds 5 ten thousands
9 ones
Answer:
50,909
Sort the digits out from greatest to least, and form a number.
The number 92,581 is represented in standard form as the sum of its place values: 90,000 + 2,000 + 500 + 80 + 1.
Standard form is a way to represent numbers using digits.
In standard form, each digit's value is determined by its position in the number.
Given 9 ten thousands + 2 thousands + 5 hundreds + 8 tens + 1 one.
9 ten thousands means we have 9 sets of ten thousands, which is 9 × 10,000 = 90,000.
2 thousands means we have 2 sets of thousands, which is 2 × 1,000 = 2,000.
5 hundreds means we have 5 sets of hundreds, which is 5 × 100 = 500.
8 tens means we have 8 sets of tens, which is 8 × 10 = 80.
1 one is the value 1.
Now, let's add up all these values:
90,000 + 2,000 + 500 + 80 + 1
= 92,581.
So, the number 92,581 is represented in standard form as the sum of its place values: 90,000 + 2,000 + 500 + 80 + 1.
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Complete question:
Write the number in standard form.
9 ten thousands +2 thousands +5 hundreds + 8 tens +1 one
Which expression is equivalent to a^7
Answer:
[tex]\sqrt{a^{6} *a}[/tex]
Step-by-step explanation:
when multiplying exponents, as long as the base is the same, you add the power. [tex]a^{6}*a^1=a^(6+1)=a^7[/tex]
A pair of shoes usually sells for $68. If the shoes are 20% off, and sales tax is 5%, what is the total price of the shoes, including tax?
Answer:
[tex]Total\ Price = \$57.12[/tex]
Step-by-step explanation:
Step 1: Determine the discounted price
[tex]Discount=Original* (Total\ percent - Sale\ percent)[/tex]
[tex]Discount=\$68 * (1 - 0.2)[/tex]
[tex]Discount=\$68 * (0.8)[/tex]
[tex]Discount=\$54.4[/tex]
Step 2: Determine the total with tax
[tex]Total\ Price = Discount * (Total\ percent + Tax\ percent)[/tex]
[tex]Total\ Price = \$54.4*(1+0.05)[/tex]
[tex]Total\ Price = \$54.4*(1.05)[/tex]
[tex]Total\ Price = \$57.12[/tex]
Answer: [tex]Total\ Price = \$57.12[/tex]
Hope this helps! Let me know if you have any questions
Multiply (2x + 2y)(2x + 2y)
Answer:
4x² + 4y² + 8xy
Step-by-step explanation:
( 2x + 2y ) ( 2x + 2y ) = ( 2x + 2y )²
Formula : -
( a + b )² = a² + b² + 2ab
Here,
a = 2x
b = 2y
( 2x + 2y )²
= ( 2x )² + ( 2y )² + 2 ( 2x ) ( 2y )
= 2²x² + 2²y² + 8xy
= 4x² + 4y² + 8xy
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=9 feet and c=10 feet, what is b? If necessary, round to the nearest tenth. HELPPP!!
Answer:
b = 4.4 feet
Step-by-step explanation:
To find the value of "b", all you need to do is plug the values for "a" and "c" into the pythagorean Theorem and isolate "b".
a² + b² = c² <------ Phythagorean Theorem
9² + b² = 10² <------- Plug in a = 9 and c = 10
81 + b² = 100 <-------- Square both values
b² = 19 <-------- Subtract 81 from both sides
[tex]\sqrt{b^{2} } = \sqrt{19}[/tex] <-------- Square root both sides to remove exponent
b = 4.358...
b = 4.4 feet
What is the linear
function?
x=4, 5, 6, 7
Y = -24, 30, 36, -42
Answer:
[tex]y = -6x[/tex]
Step-by-step explanation:
We can see that with every [tex]x[/tex] value that increases, the [tex]y[/tex] value decreases by [tex]-6[/tex]. Thus the slope is [tex]-6[/tex], which would make the equation: [tex]y = -6x[/tex].
PLS HELP ASAP WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
None of the others are vertical angles
a is supplementary angles
b is supplementary angles
d is alternate interior angles
I need help with this question please!! See attached
Answer:
(a) 191 had side effects
(b) 370 had nausea
(c) 86 had both anxiety and fatigue
Step-by-step explanation:
See attached. We look at the Venn diagram to answer the different questions.
If you are color blind let me know and I will mark the attachment more clearly.
868.4cm² =? m²
Simplify your answer. Type an integer or a decimal
Answer:
0.08684 m²
Step-by-step explanation:
1 m = 100 cm
1 m² = (100 cm)²
1 m² = 10000 cm²
868.4 cm² × (1 m²)/(10000 cm²) = 0.08684 m²
A circle has a radius of 6/7 units and is centered at (-2.3,5). Write the equation of this circle.
Answer:
[tex](x + 2.3)^{2} + y^{2} = \frac{36}{49}[/tex]
Step-by-step explanation:
To get the equation of a circle, plug your information into this equation:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Therefore, the equation of this circle is:
[tex](x + 2.3)^{2} + y^{2} = \frac{36}{49}[/tex]
Determine which of the expressions could be used to represent the following calculation: Divide the difference between 96 and 72 by 12. Select all that apply. A. ( 96 − 72 ) ÷ 12 B. 96 − ( 72 ÷ 12 ) C. ( 96 ÷ 12 ) − 72 D. 24 ÷ 12 E. 96 ÷ 6 THIS IS DUE TO DAY PLAESSSSSSSSSSSSSSSSSS HALP
Answer:
A. (96 - 72) ÷ 12
D. 24 ÷ 12
Step-by-step explanation:
Difference between 96 and 72 means subtract 72 from 96: 96 - 72
Divide by 12 means: ÷ 12
Therefore, "Divide the difference between 96 and 72 by 12" is:
⇒ (96 - 72) ÷ 12
As the difference between 96 and 72 is 24, we can also represent the calculation by:
⇒ 24 ÷ 12
A. On place 20000 f à intérêt composé au taux annuel t%. Au
bout d'un an on complète par un dépôt de 20000 f. Un an
après ce nouveau placement on retire la totalité soit :
44298 f. Calculer le taux t.
Answer:
Step-by-step explanation: Après un an on a 20000(1+t%)+20000
Après 2 ans on a 20000(1+t%)^2+20000(1+t%)^1=44298
On a donc 20000[(1+t%)^2+(1+t%)^1]=44298
En résolvant l’équation de second degré dans R, on obtient : t = 7%
50 x 1000
pls reply guys
Answer:
50,000 fifty-thousand
Step-by-step explanation:
Just use a calculator
PLEASE HELP ME!!!!!
You are buying a house that is valued at $499.000. You pay a down payment of 20%. You finance the rest at 6.5% for 30 years. Your monthly mortgage payment is $2,522.94. For taxes, the house is assessed at 40 percent, with a tax rate of $3.03 per $100. You pay $1500 annually for homeowner's insurance. (32 points)
Price of House = ?
Down Payment = ?
Amount Financed (Mortgage principal) = ?
Monthly Payment = ?
# of monthly payments = ?
Total Payback = ?
Interest = ?
Assessed Valuation = ?
Real Estate Taxes (annual) = ?
Escrow Payment Per month (taxes & insurance) = ?
Monthly Payment to lender (escrow + mortgage) = ?
PLEASE SHOW FULL WORK!!!
The full workings for the house purchase you made on a mortgage are as follows:
1. Price of House = $499,000 (given)
2. Down Payment = $99,800 ($499,000 x 20%)
3. Amount Financed (Mortgage principal) = $399,200 ($499,000 - $99,800).
4. Monthly Payment = $2,522.94 (given)
5. Number of monthly payments = 360 months (30 x 12)
6. Total Payback = $908,258.40 ($2,522.94 x 360)
7. Total Interest = $509,058.40 ($908,258.40 - $399,200)
8. Assessed Valuation = $199,600 ($499,000 x 40%)
9. Real Estate Taxes (annual) = $6,047.88 ($199,600 x $3.03/$100)
10. Escrow Payment Per month (taxes & insurance) = $628.99 ($6,047.88 + $1,500)/12
11. Monthly Payment to lender (escrow + mortgage) = $3,151.93 ($628.99 + $2,522.94)
What is a mortgage?A mortgage is a loan arrangement that allows a borrower to buy some property, usually a house, without paying for the full cost immediately.
The borrower then makes a monthly payment, which includes the principal and its interest.
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