[tex]\boxed{\boxed{\pink{\bf \leadsto The \ slope \ of \ the \ line \ is \ \dfrac{-25}{21}.}}}[/tex]
Step-by-step explanation:Two points are given to us and we need to find the slope of the line . The slope of the line passing through points [tex]\bf (x_1,y_1 ) \ \& \ (x_2,y_2) [/tex] is given by ,
[tex]\qquad\boxed{\red{\bf Slope = tan\theta=\dfrac{y_2-y_1}{x_2-x_1}}}[/tex]
Here , the points are ,
( 6 , -10 )( -15 , 15 )[tex]\bf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1} \\\\\bf\implies Slope =\dfrac{15-(-10)}{-15-6} \\\\\bf\implies Slope = \dfrac{15+10}{-21}\\\\\bf\implies Slope =\dfrac{-1(25)}{-1(-21)}\\\\ \bf\implies\boxed{\red{\bf Slope =\dfrac{-25}{21}}}[/tex]
★ Hence the slope of the line joining the two points is -25/21 .Work out the area of a semicircle with radius 3 cm.
Give your answer in terms of it.
3 cm
Answer:
Step-by-step explanation:
Area of circle = pi r^2 = (22/7) × 9
Area of semi circle = (22/14) × 9 =14.14 cm^2
of 7
Express in the form n : 1.
Give n as a fully simplified fraction.
6:14
Answer:
The ratio is;
3/7 : 1
Step-by-step explanation:
Here, we want to express the given ratio in the form n:1 where n is a fully simplified fraction
Mathematically, we have this by dividing both numbers by 14
That would be ;
6/14 : 14/14
= 3/7 : 1
Select true or false for each statement.
True
False
Surface area and volume both measure the amount of space
occupled by a solid figure.
A
B
True
False
Surface area and volume are measured using the same unit.
A
B
True
False
Surface area and volume are both attributes of solid figures.
A
B
Answer:
1 is false
2 is false
3 is true
Step-by-step explanation:
Write the equation you would use to solve for x. Then solve.
Answer:
x=12
Step-by-step explanation:
we know that the sum of the angles in a triangle is 180 degrees
to find x we have to calculate the sum of the angles
(10x-11)+(3x-2)+(3x+1)=180
10x-11+3x-2+3x+1=180
16x-12=180
16x=180+12
16x=192
x=192/16=12
I don’t understand...help :(
Answer:
I am your time to 50 paised the following link
Step-by-step explanation:
can you update your records and we
Kyle went skydiving and jumped out of a plane that was 3,700 feet in the air. He fell at a rate of 75 feet every 5 seconds. How long will it take for Kyle to hit the ground?
A soup recipe calls for a common ratio of salt to pepper as ½ oz : ¼ oz. How much salt and pepper will be needed to create a seasoning mixture that has a total of 5 ¼ oz?
Answer:
Pepper = 1¾ Oz
Salt = 3½ Oz
Step-by-step explanation:
Given
Salt : Pepper = ½oz : ¼oz
Required
Determine the amount of salt and pepper needed for 5¼ Oz
For ease of calculation, we first convert the ratio to integers.
[Multiply ratio by 4]
Salt : Pepper = 4 * ½oz : 4 * ¼oz
Salt : Pepper = 2 Oz : 1 Oz
Total Ratio = 2 + 1 = 3
The amount of salt needed is then calculated as:
Salt = (Salt Ratio * 5¼)/(Total Ratio)
Salt = (2 * 5¼)/3
Salt = ⅔ * 5¼
Salt = ⅔ * 21/4
Salt = 42/12
Salt = 3½ Oz
Amount of Pepper is calculated as:
Pepper = (Pepper Ratio * 5¼)/(Total Ratio)
Pepper = (1 * 5¼)/3
Pepper = ⅓ * 5¼
Pepper = ⅓ * 21/4
Pepper = 21/12
Pepper = 1¾ Oz
Please help with this math!
Answer: D and B
Step-by-step explanation:
can u answer these questions plz
Find the value of x.
x=
(no need to do the classifying.)
Answer:
35° (Verified Answer) ✅Step-by-step explanation:
Well, we know that all three angles of a triangle add up to 180°, we set the three equations added together equal to 180°.
180 = x + 10 + 3x - 5 + x
We can simplify this to:
180 = 5x + 5
Now, all we need to do is solve.
Subtract 5.
175 = 5x
Divide by 5
x = 35°
Now, we must check this solution by substituting our solution for x in for x, to see if the values equal.
180 = 35 + 10 + 3 (35) - 5 + 35
180 = 45 + 3 (35) - 5 + 35
180 = 105 + 45 - 5 + 35
180 = 150 - 5 + 35
180 = 150 + 30
180 = 180 ✅
Jacob has 1/2 of a container of trail mix. He is filling snack packs that each use about 1/6 of a container. How many snack packs can Jacob make?
Answer:
x = 3
Step-by-step explanation:
Jacob has 1/2 of a container of trail mix.
He is filling snack packs that each use about 1/6 of a container
We need to find the number of snack packs can Jacob make. Let he can make x snack packs.
[tex]\dfrac{1}{6}x=\dfrac{1}{2}\\\\x=3[/tex]
Hence, he can make 3 snack packs.
Do you want to the Mall last night you had $41 to spend you bought a hat for $9.28 and you bought a poster you had $6.71 left over how much did you spend on the poster
Answer:
25
Step-by-step explanation:
41 - 9.28 = 31.72
31.72 - 6.71 = 25
Answer:
the answer is 25
Step-by-step explanation:
hope this helps
Divide. Write the quotient in lowest terms. 4 2/3 divided by 1/2
Answer:
9.3 repeating
Step-by-step explanation:
Answer:
9 1/3
Step-by-step explanation:
Not sure I just used a calculator lol.
Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he
babysits for 7 hours. You may solve with any method but you must show your work.
Step-by-step explanation:
First, you want to find the unit rate, or how much Han earns per hour
You can do this by setting up an equation
x= amount earned per hour
4x= 33 Initial equation
4x/4 = 33/4 Isolating the variable
x = 33/4 = 8 1/4 = 8.25 The unit rate
Now you want to set up a new equation to find out how much he makes for 7 hours
x= amount earned per hour
y = total amount earned
y = 7x Initial equation
y = 7 ( 8.25) Substitution
y = 57.75 The answer
Han earns $57.75 for every 7 hours
Checking the answer....
y = 7x
57.75 = 7x Substitute y instead
57.75/7 = 7x/7
8.25 = x
Your answer should be correct
Hope this helps!!!
The tax on a $20 item is $1.12. How much tax will there be for an item that used to cost $50, but is now on sale
for 45.50?
Answer:2.56
Step-by-step explanation:20x2 is 40 1.12x2 is 2.24 add half of 1.12 is 2.80-.23 is 2.56
Subtract the equations
3х+4y - 17
- (3x+2y = 3)
A. 6х + 20
ов. - 6x = 14
Ос, 2у= 14
Op. бу 20
Step-by-step explanation:
3x - 3x = 0,
4y - 2y = 2y, and
17 - 3 = 14.
Hence,
3x + 4y = 17
- (3x + 2y = 3)
=> 2y = 14.
The correct answer is Option c.
The vertices of JKL are J(–2, 3), K(1, 6), and L(5, –1). Which type of triangle best describes JKL
Answer:
Acute triangle
Step-by-step explanation:
There are three numbers for the combination to the store's safe. The first number is 17. The other two numbers can be multiplied together to give a product of 28. What are all of the possibilities for the other two numbers? Write your answers as multiplication equations, and then write all of the possible combinations to the safe.
Answer:
See Explanation
Step-by-step explanation:
Let the numbers be [tex]a, b\ and\ c.[/tex]
[tex]a = 17[/tex]
[tex]b * c = 28[/tex]
Required
Determine the possibilities for the other two
The possibilities of the other two (as a product) are:
[tex]1 * 28 = 28[/tex]
[tex]2 * 14 =28[/tex]
[tex]4 * 7 = 28[/tex]
All possible combinations are (where order is not important): 17 1 28, 17 2 14 and 17 4 7
what is 5x + 8x2 + 32x + 17x2
Answer:
The answer is 37x + 5.
Step-by-step explanation:
5x + 8*2 + 32x + 17*2
37x + 16 + 34
37x +50
Write the equation of the line that passes through the points (-8,3) and
(3,2). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.
Answer:
Slope of a line can be found by
y~2 - y~1 / x~2 - x~1
The coordinates given are (-8,3) and (3,2)
2 - 3 / 3 - (-8) = - 1/11 this is your Slope, m
Use the Slope and either point to find b by substituting x and y and m values we know into
y=mx+b
2 = -1/11(3) + b simplify
2 = - 3/11 + b isolate b by adding 3/11 to both sides
22/11 + 3/11 = b = 25/11
Use m and b to write your equation.
y= - 1/11x + 25/11
I will be nice if u help
Answer:
12+12x+6y
Step-by-step explanation:
12+6x+6x+6y
12+12x+6y
Show work
Perform the operations to simplify the expression:
(5x^5 + 4) - (2x^3+9)+(6x^5-x^3)
A. 11x^5+3x^3 + 5
B. 11x^5 - 3x^3 - 5
C. -3x^5 + 22x^3 + 5
D. 3x^5 + 11x^1 + 5
Answer:
b.
Step-by-step explanation:
(5x^5 + 4) - (2x^3+9)+(6x^5-x^3)
5x^5 + 4 - 2x^3 - 9 + 6x^5 - x^3
5x^5 + 6x^5 = 11x^5
-2x^3 - x^3 = -3x^3
+4 -9 = -5
Complete the TABLE of values for x+y=6.
Then:
B) On the grid draw the graph of x+y=6 for the values of x between -2 and 3.
Anyone know the answers to these?
If, so ANSWER THEM RIGHT!
Answer:
X Y
-2 8
-1 7
0 6
1 5
2 4
3 3
Step-by-step explanation:
We have the equation: x+y=6
We want to get this in the form: y=mx+b (or in this case y=x+b)
To do this we need y to be positive and by itself
So we subtract y from both sides and divide by -1 (we divide by -1 because otherwise y would be negative and that does not fit our template of y=x+b)
Doing this we have
-x+6=y
From here we just plug in numbers -2 to 3 which I will assume you know how to do
X Y
-2 8
-1 7
0 6
1 5
2 4
3 3
the answer to the length of x is in mm. please help!
Answer:
3.69 mm
Step-by-step explanation:
So it's a right triangle so you can use a^2+b^2=c^2
Plugging in what we know the equation becomes:
2.8^2+2.4^2=c^2 (C = x because x is the hypotenuse)
7.84+5.76=c^2
13.6=c^2
The square root of 3.68782 which rounds to 3.69
So x=3.69mm
Which of the following is the independent variable of G(F(y)) ?
A. F(x)
B. x
C.у
D. G(F(y))
SUBMIT
Given:
The composition of functions is G(F(y)).
To find:
The independent variable of G(F(y)).
Solution:
Independent variable is the variable whose value independent from other variable. It means the value of independent variables is not depend on the other variable.
We know that G(F(y)) can be written as
[tex]G(F(y))=(G\circ F)(y)[/tex]
Here, the value of function G depends on F(y) and the value of F(y) depend on variable y. But value of y does not depend on any variable. So, y is the independent variable of G(F(y)).
Therefore, the correct option is C.
The equation of line p is y= -7/8x + 3/2. line q is parallel to line p. what is the slope of line q?
Answer:
The slope of Line q is -7/8.
Step-by-step explanation:
Remember that for two lines to be parallel, their two slopes must be equivalent.
We are given that the equation of Line p is:
[tex]\displaystyle y=-\frac{7}{8}x+\frac{3}{2}[/tex]
So, the slope of Line p is -7/8.
Line p is parallel to Line q. Therefore, the two lines have the same slope.
Hence, the slope of Line q must also be -7/8.
A parabola has a maximum value of 4 at x= -1, a y-intercept of 3, and an x-intercept of 1.
Which graph matches the description? PLZ HURRY
Answer:
The answer is C
Step-by-step explanation:
Plz mark as Brainliest
A parabola has a maximum value of 4 at x= -1, a y-intercept of 3, and an x-intercept of 1. The x-intercepts are -3 and 1. So, The second graph is the right one.
We have given that,
A parabola has a maximum value of 4 at x = -1,
A y-intercept of 3, and an x-intercept of 1.
What is the maximum point of the graph?The maximum value of a graph refers to the point on the graph where the y-coordinate has the largest value.
A maximum graph is one that represents the largest value of the y-coordinate on the graph.
So, The second graph is the right one.
Note that when x = 1, y (the maximum) is 4,
and that, The x-intercepts are -3 and 1.
To learn more about the maximum value click here:
brainly.com/question/1286349
#SPJ5
We will begin with a golf ball with a diameter of 5 cm and a piece of paper that is 15 x 25 cm. Here is a
diagram showing the dimensions of each part of the box,
5 cm
5 cm!
15 cm
15 cm
25 cm
Based on the following labelled net diagram, answer the following questions:
1. What is the maximum number of balls that will fit in the box? Explain how you know.
Answer:
Each ball has a diameter of 5 cm, The box is 15 cm by 25 cm, therefore, there will be three columns and five rows of balls. 3 multiplied by 5 is 15, so the maximum number of balls that will fit in the box is 15 balls
Simplify fully
12(x-2)^2/6(x-2)(x+5)
Answer
Did I get it right?
Step-by-step explanation:
Find question Mark then solve x
9/x = x/9
The answer is =9