The slope of a line indicates how steep it is calculated mathematically as "rise overrun". It calculates the rate where the variable y changes when the relevant variable changes, and the further calculation can be defined as follows:
Given Points:
[tex](-4,-2) , (-2,-10)[/tex]
To find:
slope (m)=?
Solution:
[tex](-4,-2),(-2,-10)\\x_{1} =-4\\y_{1} =-2\\x_{2}= -2\\y_{2}=-10\\[/tex]
Using formula:
[tex]slope(m)=\frac{y_{2-} y_{1} }{x_{2-} x_{1} } \\=\frac{-10-(-2)}{-2-(-4)} \\\\=\frac{-10+2}{-2+4}\\=\frac{-8}{2} \\=-4[/tex]
Therefore, the slope is "- 4".
4. Find the value of x in the equation x+5=x+45
Answer: No solution
Step-by-step explanation:
Subtracting x from both sides, we get 5=45, which is false.
Here is a set of data showing the test scores for US History class:
56, 88, 70, 72, 90, 85, 99, 65, 66, 54, 74, 85, 91, 92, 72, 88, 97, 62, 88 Create a stem and leaf plot to show this data. Hint: Decide how many stems you will need.
can somebody help me ?
Answer:
Stem Leaf
5 4 6
6 2 5 6
7 0 2 2 4
8 5 5 8 8 8
9 0 1 2 7 9
Step-by-step explanation:
That is how the stem and leaf plot will look like
Hope this helps
brainliest 5. Using the Straightedge and the black pencil, connect each of the endpoints of the perpendicular diameters to the endpoints on either side of it. Sketch the result below. (4 points: 1 point for each diagonal)
The perpendicular bisector of the diameter divides the diameter into two equal parts i.e. the radius
How to sketch the resultFrom the diagram of the circle, we have two diameters, each of which have two endpoints.
This means that there are four endpoints in the figure.
Next, we connect adjacent endpoints on the diagram
When the endpoints are connected, the shape formed is a square
See attachment for the sketch
Read more about constructions at:
https://brainly.com/question/1686819
Ali says that the perimeter of the rectangle on the coordinate plane is equal to 30 units , choose the correct answer that shows Ali's mistake ?
Answer:
perimeter =22units
Step-by-step explanation:
30units is supposed to be the are and its supposed to be 30 units squared
Find the area of a rectangular park which is 183/5 m long and 50/3 m broad.
Answer:
Area of a triangle = l*b
= 183/5*50/3
= 36.6*16.66
= 609.756 m
V= 11.43
L= 2.5
W= 1.2
Depth is 3.81
Step-by-step explanation:
V = l x w x d
11.43 = 2.5 x 1.2 x d
11.43 = 3 x d
÷3
3.81 = d
Hope this helps!
NEED HELP ON HELP ON HOW TO DO THIS
You have triangle JKL. Angle J is a right triangle. Angle K has a measure of 40 degrees. Side k=26. Solve the triangle. Round angles and sides to nearest tenth.
Answer choices:
A) Angle L= 50 degrees, side L= 31.0, side J= 40.4
B) Angle L= 50 degrees, side L= 33.3, side J= 42.8
D) Angle L= 50 degrees, side L= 21.8, side J= 33.9
E) Angle L= 50 degrees, side L= 33.9, side J= 21.8
Pls give explanation!!
Answer:
Option E
Step by step explanation:
We know that angle J is a right angle meaning it's an angle 90 degrees. So to find angle L;
90+40+L=180
130+L=180
L=180-130
So therefore angle L =50 degrees
Now to find side J which is the opposite in the triangle,we use tan because it has adjacent and opposite which is what we're looking for;
Tan 40 degrees =opposite/26
We cross multiply
Opposite =Tan 40 degrees×26
Opposite =21.8
Side J=21.8
With side J found we can find side L using Pythagoras theorem
L^2=21.8^2 +26^2
L^2=475.24+676
L^2=1,151.24
L=Square root of 1,151.24
L=33.9
Answer:
A) Angle L= 50 degrees, side L= 31.0, side J= 40.4
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and sides of a right triangle. The given side of k is opposite the given angle K, so the sine or tangent functions can be used to find missing sides. If we want to start with the hypotenuse, we can use the relation ...
Sin = Opposite/Hypotenuse
sin(40°) = 26/j
j = 26/sin(40°) ≈ 40.4 . . . units (matches choice A)
Similarly, we can use the tangent relation to find side ℓ:
Tan = Opposite/Adjacent
tan(40°) = 26/ℓ
ℓ = 26/tan(40°) ≈ 31.0 . . . units (matches choice A)
Of course, angle L is the complement of 40°:
L = 90° -40° = 50°
The solution to the triangle is L = 50°, ℓ = 31.0, j = 40.4.
Shelley is going shopping before her vacation. Each outfit costs $20 and she wants to spend no more than $180. Write an inequality that represents the number of outfits, f, she can purchase without going over her $180 budget
Please help I'm failing math
please help me I am so lost on this question. thank you have a good blessing day
Answer: x=-3
Step-by-step explanation:
In this question, they simply want you to find a pair of x and y-coordinates that would be valid in this equation.
We can take a random number for x, like, say, 3.
y = 2x + 6
y = 2(3) + 6
y = 6 + 6
y = 12
Since giving the value of 3 to x results in y being 12, we can safely say that the coordinates (3, 12) would be valid in this equation. Therefore:
(12) = 2(3) + 6
Let me know if you need me to explain anything.
- Breezyツ
find the probability of the indicated event if P(E)=.20 and P(F)=.45.
Find P(E and F) if P(E or F)=.45
There are three section here
First section is the event of only E, the second is the event of only F, and the third is the event of the overlap of E and F
E or F means the total unit of events. Which is (only E)+(only F)-(E and F)
Using substitution we get 45=20+45-(E and F)
solving the equation
E and F=65-45
E and F=20
Therefore, P(E and F) is 20
I hope this helps, if you have any questions please ask!
A submarine was operating 234 feet below the surface of the ocean. Then, an underwater current caused the submarine to rise 112 feet.
What is the position of the submarine relative to the surface of the ocean now?
Answer: -122
Step-by-step explanation:
-234+112=-122 hope that helps!
Answer:
-122
Step-by-step explanation:
.Which statement describes a sequence of transformations that can be used to verify that rectangle H J K L is similar to rectangle H ′ J ′ K ′ L ′ ? Dilate rectangle H J K L by a scale factor of 2 about the origin, then translate it 12 units down. Dilate rectangle H J K L by a scale factor of 2 about the origin, then translate it 12 units down. Dilate rectangle H J K L by a scale factor of 2 about the origin, then reflect it across the x -axis. Dilate rectangle H J K L by a scale factor of 2 about the origin, then reflect it across the x -axis. Dilate rectangle H J K L by a scale factor of 1 2 about the origin, then translate it 12 units down. Dilate rectangle H J K L by a scale factor of 1 2 about the origin, then translate it 12 units down. Dilate rectangle H J K L by a scale factor of 1 2 about the origin, then reflect it across the x -axis.
The sequence of transformations involves reflection, translation, dilation and reflection
How to determine the sequence of transformations?The question is incomplete;
So, I will give a general explanation
For the two rectangles are similar shapes, then the corresponding sides of the shapes must be similar.
If the rectangles do not have the same size, then the scale ratio of the sides of the rectangles must be the same
if the rectangles have the same size, then the rectangles must fit perfectly on one another
Read more about transformation at:
https://brainly.com/question/4289712
PLEASE HELP!!!!!TIMED!!!!!! 21 MINS LEFT!!!! 30 POINTS!!!!!!!Which is the last operation performed when evaluating (8 - 2) * 4 for x=3
Answer:
Multiplication.
Parentheses comes first, regardless of PEMDAS. When you see parentheses, only the P for parentheses in PEMDAS should be your main concern.
Find the value of the expression -20 / -4
Answer:
5
Step-by-step explanation:
-20 / -4 = 5
A negative divided by a negative is positive!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
answer pls 1+2.1y-0.9y+4
Answer: 1.2y+5
If 1+4 =5 and 2.1y-0.9y=1.2y then 1+2.1y-0.9y+4 = 1.2y+5
6 cupcakes for £5 or 4 cupcakes for £3.50
Answer:
6 cupcakes for £5
Step-by-step explanation:
Given :-
Two options
6 cupcakes for £54 cupcakes for £3.50To Find :-
Which is better value for money
Solving :-
Find the cost of one cupcake of the two options
1. 6 cupcakes = £5
=> 1 cupcake = £0.83
2. 4 cupcakes = £3.50
=> 1 cupcake = £0.875
Solution :-
It would be wiser to purchase 6 cupcakes for £5
HELP ME PLSSSSSSSSSSSS
Answer:
7 cubic units
Step-by-step explanation:
There are 6 unit cubes on the bottom layer, and one on the top layer. The total volume is ...
6 +1 = 7 . . . . cubic units
20% of what number is = to 5% of 680
Answer:
Solution
20%× X= 5%×680
or, X=170.
The required number is 170.
1/3=7/21, .. What are the means
Answer:
Equivelant fractions.
Step-by-step explanation:
Ask your self..
How did the 1/3 become 7/21?
Its very simple multiply 1/3's numerator and denominator by 7
So its going to be.. 1 x 7 = 7
3 x 7 = 21
Therefore, we have 7/21
Multiply with decimal numbers:
6.0 x 74 = ? 4.5 x 80 = ? 5.1 x 78 = ? 1.9 x 70 = ?
The complete process of multiplication please :)
6.0x74=444
4.5x80=360
5.1 x 78 = 397.8
1.9 x 70=133
Solve for X
√5x − 7 − 3 = 8
Answer:
[tex]x=\frac{324}{5}[/tex]
Step-by-step explanation:
Given the following question:
[tex]\sqrt{5x} -7-3=8[/tex]
To find the answer we are going to use inverse of operations to isolate the variable x, doing this we can then find the value of the variable and then have our answer.
[tex]\sqrt{5x} -7-3=8[/tex]
[tex]-7-3=-10[/tex]
[tex]\sqrt{5x} -10=8[/tex]
[tex]-10+10=0[/tex]
[tex]8+10=18[/tex]
[tex]\sqrt{5x} =18[/tex]
[tex]\sqrt{5x} =5[/tex]
[tex]18\times18=324[/tex]
[tex]5x=324[/tex]
[tex]5x\div5=x[/tex]
[tex]324\div5=x=\frac{324}{5}[/tex]
[tex]x=\frac{324}{5}[/tex]
Your answer is "x = 324/5."
Hope this helps.
Write an equation of a line through (5,6) and perpendicular to the line through (4,8) and (-2,-18). please help, will mark brainliest. You also get 10 points
Answer:
y = 4 1/3x+ 6
Step-by-step explanation:
Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept. The y-intercept occurs at x=0 or point (0,b).
-18 -8 / -2 - 4 = -26 / -6 = 4 1/3 perp = - 4 1/3 = y=4 1/3 x+b
Step 2. -18 -8 / -2 - 4 = -26 / -6 = 4 1/3 perp = - 4 1/3 is a vertical line or parallel to the y-axis. So a line perpendicular to x= 4 1/3 is a horizontal line parallel to the x-axis.
Step 3. Therefore y= 4 1/3 is a horizontal line parallel to the x-axis. Now, the line needs to pass through point (5,6) or x=5 and y=6. Then, y=b=6 or y=6 is the equation of the line. but then x = 4 1/3 so y = 4 1/3x + 6
Step 4. ANSWER: The equation is y = 4 1/3x+ 6 where slope m=4 1/3 and y intercept b=6.
Marques made a mistake when solving this problem. On what line did he make the error?
Line 1
Line 2
Line 3
Line 4
Line 5
Answer:
line 2.
Step-by-step explanation:
the correct way is provided in the attachment (under the green line). Note, only positive value (it is the length of the side) can be considered as answer.
Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If not possible, enter IMPOSSIBLE.) A = 72°, a = 34, b = 21
Answer:
Given: A = 72°, a = 34, b = 21
Calculated: B = 35.97°, C = 72.03°, c = 34.00
Step-by-step explanation:
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]
[tex] \dfrac{\sin 72^\circ}{34} = \dfrac{\sin B}{21} [/tex]
[tex] \sin B = \dfrac{21\sin 72^\circ}{34} [/tex]
[tex] \sin B = 0.5874 [/tex]
[tex] B = \sin^{-1} 0.5874 [/tex]
[tex] B = 35.97^\circ [/tex]
C = 180° - 72° - 35.97°
C = 72.03°
[tex] \dfrac{\sin A}{a} = \dfrac{\sin C}{c} [/tex]
[tex] \dfrac{\sin 72^\circ}{34} = \dfrac{\sin 72.03^\circ}{c} [/tex]
[tex]c = \dfrac{\sin 72.03^\circ \times 34}{\sin 72^\circ}[/tex]
[tex] c = 34.00 [/tex]
Given: A = 72°, a = 34, b = 21
Calculated: B = 35.97°, C = 72.03°, c = 34.00
Answer:
[tex]B\approx35.97^\circ\\C\approx72.03^\circ\\c\approx34[/tex]
Step-by-step explanation:
Law of Sines
[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]
Given information
[tex]A=72^\circ\\a=34\\b=21[/tex]
Check if solutions exist
As [tex]A=72^\circ < 90^\circ[/tex] and that [tex]a > b\rightarrow 34 > 21[/tex], then there exists only one possible triangle by the Ambiguous Case
Solve the triangle
[tex]\frac{sin(72^\circ)}{34}=\frac{sin(B)}{21}\\ \\ 21sin(72^\circ)=34sin(B)\\\\\frac{21sin(72^\circ)}{34}=sin(B)\\ \\B=sin^{-1}(\frac{21sin(72^\circ)}{34})\\ \\B=35.97394255^\circ\approx35.97^\circ[/tex]
[tex]A+B+C=180^\circ\\\\72^\circ+35.97394255^\circ+C=180^\circ\\\\107.97394255^\circ+C=180^\circ\\\\C=72.02605745^\circ\approx72.03^\circ[/tex]
[tex]\frac{sin(72^\circ)}{34}=\frac{sin(72.02605745^\circ)}{c}\\\\c*sin(72^\circ)=34sin(72.02605745^\circ)\\\\c=\frac{34sin(72.02605745^\circ)}{sin(72^\circ)}\\ \\c=34.00502065\approx34[/tex]
Three times a number decreased by 9
Answer:
3x-9
Step-by-step explanation:
Answer:
does this help?........
( 1 + 1 ) + 1 in standard form
Answer:
(1+1)+1=3 therefore 3×10¹
Answer: 3 times 10 to the power of just 0
Step-by-step explanation:
(1+1) + 1 is 3
So now we must put the number 3 in standard form...
The answer for this would be 3 times 10 to the power of 0
The amount of money spent at a gas station varies directly with the number of gallons purchased. When 15.5 gallons of gas was purchased , the cost was $48.67. What is the cost for 9 gallons of gas?
Answer:
$28.26
Step-by-step explanation:
In order to find out how much each gallon of gas cost, you need to divide the $48.67 by the 15.5 gallons. This would equal 3.14 So the cost for one gallon is $3.14
Then you would need to multiply this number by the 9 gallons to get the price. Which would equal $28.26
Triangle ABC is shown with its incenter at D. The inscribed circle's radius measures 2 units. The length of AB is 9 units. The length of BC is 10 units. The length of AC is 17 units.
What is the area of triangle ACD?
What is the area of triangle ABC?
The area of triangle ACD and ABC are 17 and 46.75 square units respectively
How to find the area of a triangleThe formula for finding the area of a triangle is expressed as:
A = 0.5bh
where:
b is the base
h is the height
Area of the triangle ACD = 0.5DE * AC
Area of the triangle ACD = 0.5(2)(17)
Area of the triangle ACD = 17 square units
For the triangle ABC
Area = 0.5(BE)(AC)
Area= 0.5(5.5)(17)
Area = 46.75square units
Hence the area of triangle ACD and ABC are 17 and 46.75 square units respeectively
Learn more on area of triangle here: https://brainly.com/question/17335144
Which is equal to 3 x 2-4
Answer:
2
Step-by-step explanation:
Answer:
the correct answer is 2
Step-by-step explanation:
hope you have a great day -TJ
may i pls have brainliest thank you
What can be the last digit of a a square of a natural number?
Answer:
1, 4, 5, 6, & 9 are the only digits that can be the last digit of the square of a natural number.
Step-by-step explanation: