Answer:
Step-by-step explanation:
+ Because of " the line passing through the points (-2, 2) and (3,-1)", that means this line has its equation y = ax + b where
[tex]a=\frac{2-(-1)}{-2-3} =\frac{2+1}{-5} =-\frac{3}{5}[/tex]
So we write its equation: y = -3/5 x + b.
+ Then, now, we replace x = -2 and y = 2 into y = -3/5 x + b for finding b like:
2 = -3/5 * (-2) + b or 2 = 6/5 + b
so b = 2 - 6/5 = 4/5.
And this line has its equation: y = -3/5 x + 4/5.
Mẹthod 2:
we have a formule for a line that passes 2 points [tex](x_{0},y_{0}) , (x_{1},y_{1}) ,x_{0}\neq x_{1}[/tex]
Here is: [tex]\frac{x-x_{0} }{x_{1}-x_{0} } = \frac{y-y_{0} }{y_{1}-y_{0} }[/tex]
Then, we can write for this case:
[tex]\frac{x-(-2)}{3-(-2)} =\frac{y-2}{-1-2} \\\frac{x+2}{5} =\frac{y-2}{-3} \\-3(x+2) = 5( y-2)\\-3x-6=5y-10\\3x+5y-4=0\\or\\y=-\frac{3}{5}x+\frac{4}{3}[/tex]
P.S: You type wrongly the signs?
Mrs. Smith has $20,000 to invest. She wants to earn $10,000 in interest. She is considering a savingsand loans bank that is offering her 5.6% interest per year. For how long will she have to leave her money in the bank in order to reach her goal of $10,000?
Answer:
Number of year to get $10,000 as interest = 7.5 year (Approx)
Step-by-step explanation:
Given:
Initial investment = $20,000
Interest on investment = $10,000
Rate of interest = 5.6% = 0.056
Find:
Number of year to get $10,000 as interest:
Computation:
[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]
Number of year to get $10,000 as interest = 7.44
Number of year to get $10,000 as interest = 7.5 year (Approx)
For one full week, Cheng spent $12.50 per day on lunch. Write a multiplication expression using integers to show the overall impact or change to the total amount of money he had budgeted for food expenses. Then determine and explain that amount.
A small TV that regularly sells for $89.00 is on sale at a 15% discount. What is the amount of discount?
Answer:
$13.35
Step-by-step explanation:
To find the amount of discount, multiply the discount rate by the usual price of the small TV.
discount rate * regular price
The discount rate is 15% and the regular price of the small TV is $89.00
15%*$89.00
15%*89
Convert 15% to a decimal by dividing 15 by 100, or moving the decimal place two spots to the left.
15/100=0.15
15.0-->1.5-->0.15
0.15*89
Multiply
13.35
The discount amount is $13.35
So the amount of discount is $13.35
Look at the attached picture
Hope it will help you
Good luck on your assignment
how much does 42 fl oz
Answer:
2.62lbs
Step-by-step explanation:
Solve the system using the method of you choice:
-x + 4y = 12
5x - 2y = -6
Answer:
(0, 3)
Step-by-step explanation:
Let's first eliminate x. To do this, multiply all three terms of the first equation by 5:
-5x + 20y = 60
5x - 2y = -6
----------------------
18y = 54, so that y = 3.
Substituting 3 for y in the first equation yields:
-x + 4(3) = 12, or -x = 0. Thus, x = 0, and the solution is
(0, 3)
Evaluate the numerical expression.
9x [(26-4)-(4+7)]
The value of the expression is
Answer:
99
Step-by-step explanation:
26-4=22. 4+7=11. 22-11=11. 9 times 11=99
Answer:
Answer:
99
26-4=22. 4+7=11. 22-11=11. 9 times 11=99
Step-by-step explanation:
Solve each triangle. Give angle measures to the nearest degree
and side lengths to the nearest tenth.
please help :( I don't know how to show the work
1.
AB:
a² + b² = c²
'a' and 'b' are legs, while 'c' is the hypotenuse
3.6² + 5.2² = 12.96 + 27.04
c² = 40
c = √40
c ≈ 6.3
m∠A:
sine, cosine, tangent
soh - [tex]\frac{opposite}{hypotenuse}[/tex]
cah - [tex]\frac{adjacent}{hypotenuse}[/tex]
toa - [tex]\frac{opposite}{adjacent}[/tex]
∠a:
5.2 = opposite
6.3 = hypotenuse
[tex]\frac{5.2}{6.3}[/tex] = 0.825396...
x = sin^-1(0.825396)
x = 55.6 ≈ 56º
∠b:
90º + 56º = 146
180 - 146 = 34º
repeat for the rest of the problems
The point-slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
y+2=-2(x-5)
What is the equation in slope-intercept form?
O y=-2x+12
O y=-2x+8
O y=-2x-7
y=-2x-3
Answer:
y=-2x+8
Step-by-step explanation:
When consider coordinate (5, -2)
y=-2x+8
When x=5
y= -2 x 5 + 8 = -2
Therefore the answer is y=-2x+8
Please help due in 30 min
Answer:
take your time dont rush
Step-by-step explanation:
How many 4-digit numbers are neither multiples of 2 nor multiples of 5?
Answer:
There are 7,200
Step-by-step explanation:
Hope this helps!
There are 8400 4-digit numbers that are neither multiples of 2 nor multiples of 5.
What is a sequence?The sequence is a pattern of placing the values in a specified manner.
To count the number of 4-digit numbers that are not multiples of 2 or 5, we can use the principle of inclusion-exclusion.
First, let's count the total number of 4-digit numbers. We know that the smallest 4-digit number is 1000 and the largest 4-digit number is 9999. Therefore, the total number of 4-digit numbers is:
9999 - 1000 + 1 = 9000
Next, let's count the number of 4-digit numbers that are multiples of 2. We know that a number is a multiple of 2 if its last digit is even, so half of the 10 possible digits can be the last digit of a multiple of 2. Therefore, there are:
5 × 10 × 10 = 500
4-digit multiples of 2.
Similarly, let's count the number of 4-digit numbers that are multiples of 5. We know that a number is a multiple of 5 if its last digit is 0 or 5. Therefore, there are:
2 × 10 × 10 = 200
4-digit multiples of 5.
Now, we need to subtract the number of 4-digit numbers that are multiples of both 2 and 5 (i.e., multiples of 10) since they were counted twice in the above calculations. There are:
1 × 10 × 10 = 100
4-digit multiples of 10.
Using the principle of inclusion-exclusion, the number of 4-digit numbers that are neither multiples of 2 nor multiples of 5 is:
9000 - 500 - 200 + 100 = 8400
Therefore, there are 8400 4-digit numbers that are neither multiples of 2 nor multiples of 5.
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The price of an apple is $1.25. If you get 12.5% discount, how much do you have to pay for an apple ?
Answer:
$1.09
Step-by-step explanation:
How much interest would a bond (1,000 shares) of RMx pay each year?
Bond Cur Yield Vol Close Net Chg
MBIA 7 25 8.3 8 87 +1
SDGE 4 40 4.8 75 93.875 -2
UPS 8 20 6.2 10 134.875 +3
RMx 14 13 13.2 5 106 -3
Travelport 11 16 12.4 945 95.50 +1
JCPenney 7 97 8.1 100 94.50 -2
DeerParkISD 4 29 4.4 25 104.86 -1
A. $132
B. $14.00
C. $106
D. $13.20
E. $140
Answer:
a and e
Step-by-step explanation:
Combine the Expression:(10x - 4) + (-7 + x)
Answer:
11x-11
Step-by-step explanation:
(10x-4)+(-7+x)
10x-4-7+x
11x-11
Answer:
11x-11
Step-by-step explanation:
10x+x=11x
-4+(-7)=-11
11x-11
if this is right a brainliest would be very appreciated!
In the fraction below, which number is the numerator?
4
14
O A. 4
O B. 13
SUBMIT
a
Plz can someone help
Answer:
the total number of students is 1240
Step-by-step explanation:
the difference between 11 and 9 is 2
124÷2=62
62×11=682
62×9=558
682+558=1240
pls give me brainliest!
Please help me solve this by today I'm in a hurry
Answer:
The 3rd one
Step-by-step explanation:
a. 6ft
b. 3 ft
c. 36 ft
d. 12 ft
Answer:
A.6
Step-by-step explanation:
Cause it is bisecting the line and that means the length is the same on both sides
HELP
What is the longest line segment that can be drawn in a right rectangular prism that is 15cm long, 8 cm wide, and 7 cm talk
Answer:
=18.38cm
Step-by-step explanation:
The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment .
Look at the attached picture. The longest segment we can draw is AG (or any of its equivalent: BH, CE, DF). Let's focus on AG for example.
We can think of AG as the hypotenuse of triangle ACG. So, we need AC first. AC is itself the hypotenuse of triangle ABC,
so we have,
[tex]AC^2 = AB^2+BC^2=8^2+7^2=113[/tex]
Now we can resume where we stopped with triangle AGC, and we have
[tex]AG=\sqrt{AC^2+CG^2}=\sqrt{113+225}=\sqrt{338}[/tex]
=18.38cm
Need answers fast
Find the area of a trapezoid, base 1 measures 77 ft, base 2 measures 31 ft, height measures 25 ft
Answer: i-
Step-by-step explanation:
How to solve
3x+y=9
5x+4y=22
Answer:
(2, 3) x=2, y=3
Step-by-step explanation:
There are two ways to solve this: substitution & elimination:
Using substitution for this equation:
[tex]\left \{ {{3x+y=9} \atop {5x+4y=22}} \right.[/tex]
3x + y =9
y = 9-3x
Substitute for y:
5x + 4(9 - 3x) = 22
5x + 36 - 12x = 22
-7x = -14
x = 2
Solve for y:
3(2) + y = 9
6 + y = 9
y = 3
What is the value of this expression when c= -4 and d = 10?
1/4(c3+d2)
The value of the expression using BODMAS rule is 9.
What is simplification?
To simplify the arithmetic expression involving more operators, we need to use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.
For the given situation,
The values are c = -4, d = 10
The expression is 1/4(c^3+d^2)
Substitute the above values,
⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]
⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]
⇒ [tex]\frac{1}{4}(-64+100)[/tex]
⇒ [tex]\frac{1}{4}(36)[/tex]
⇒ [tex]9[/tex]
Hence we can conclude that the value of the expression using BODMAS rule is 9.
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Answer: 9
Step-by-step explanation:no clue how I got it but the test marked it correct
|x+5|=3. Find all possible values for x (There are 2 possible values)
Answer:
x=-2 and x=-8
Step-by-step explanation:
(x+5)=3
Subtract 5 from both sides, to isolate x
x=-2
-(x+5)=3
Distribute the -
-x-5=3
Add 5 to both sides to isolate x
-x=8
Multiply both sides by -
x=-8
Hope this helps! Please mark brainliest :)
What is the radius of J. A. 24.8
B. 6.2
C. 10.8
D. 12.4
Answer:
12.4 units
Step-by-step explanation:
The diameter of circle J is represented by KN. Half of KN is KJ and JN which means these represent the radius. Since JN equals 12.4 and JN is the the radius, then the radius of circle J is 12.4 units which is answer choice D.
The radius of the given circle is 6.2 unit. So option B is correct.
What is the radius?A line segment from a circle's or sphere's center to its perimeter or boundary is known as the radius in geometry. It is a crucial component of spheres and circles and is frequently abbreviated as "r". When discussing multiple radiuses at once, the plural form of radius is "radii". The diameter of a circle or sphere is the longest line segment connecting all points on the opposite side of the centre, and the radius is equal to half of the diameter in length. It can be written as d/2, where d is the circle's or sphere's diameter. Look at the illustration of a circle below that depicts the connection between radius and diameter.
Given that,
A circle,
which contains diameter KN of length 12.4 unit
and chord 10.8 unit.
The radius = ?
It is known that, the length of the radius is half of the diameter of the circle,
R = D/2
= 12.4/2
= 6.2
Therefore, the length of the radius is 6.2 unit.
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PLEASE HELP !!!!!
Identify the relationship between the graphs
of these two equations.
y=-5x - 2
y-5x = 4
Click on the correct answer.
parallel
perpendicular
neither
Answer:
neither
Step-by-step explanation:
parallel run side by side and perpendicular cross at 90 degree angle. these equations come out to looking like a X
The sets of numbers 7, 24, 25 and 9, 40, 41 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples! (5 points) i need an answer now please im being timeddd
Answer:
25^2=625
24^2= 576
7^2= 49
as 625 = 576+49 so 7,24,25 form a Pythagorean triplet
similarly
9,40,41 also is a Pythagorean triplet
What is the area of this rectangle?
10
10 units
20 units
7
6
24 units?
5
4
48 units?
3
2
Answer:300
Step-by-step explanation:
The data below shows numbers of hours mes Díaz volunteered at the library each month for eight months. 20,12,27,23,18,20,30,26. the mean of the data is 22 hours. What is the mean absolute deviation of the data?
Answer:
help :(
Step-by-step explanation:
Answer:4.5
Step-by-step explanation:
pls help will mark as brainliest
Answer:
1/3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
It would have to be 3, because it says that 1/3 is wrong.
Anna runs a 5k in 20 minutes. What is her speed in kilometers per hour?
Answer:
15kmh
Step-by-step explanation:
Answer:
15k
Step-by-step explanation:
There is 60 mins in an hour. Since she runs 5k in 20 mins you would multiply 20 by 3 because it would equal 60. Also you would multiply 5k by 3 also.
i hoped that made sense ;-;
A plane intersects a pentagonal pyramid horizontally as shown. Describe the cross-section.
A)
pentagon
B)
rectangle
C)
trapezoid
D)
triangle
Answer:
The answer is A I JUST DID it
The cross section of the figure is Pentagon.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A plane intersects a pentagonal pyramid horizontally as shown.
Now, By the given figure,
The plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.
Hence, It represent the Pentagon.
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