Answers
The equation of the line in slope intercept form is found as y = x/5 + 24/5, where slope is (-1/5) and y-intercept is 24/5.
What is named as the slope-intercept form?The slope intercept type of composing a straight line equation is y = mx + b. In the equation 'y = mx + b,' 'b' represents the point in which the line intersects the 'y axis,' and'm' represents the slope of the line. A line's slope or gradient describes how steep it is. It may have a positive or negative value.For the given question;
Two points are given as;
(x1, y1) = (-6, 6)
(x2, y2) = (9, 1)
The slope of the line is found as;
slope = m = (y2 - y1)/(x2 - x1)
m = (1 - 6)/(9 + 6)
m = -5/15
m = -1/5
The equation of the line in slope-intercept form is found as;
y - y1 = m(x - x1)
y - 6 = (-1/5)(x + 6)
5y - 30 = -x - 6
5y = -x + 24
y = -x/5 + 24/5
Thus, the equation of the line is found as y = x/5 + 24/5, where slope is (-1/5) and y-intercept is 24/5.
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Related Questions
Becca exercises for 1 1/2 hours. She dances for 5/6 of the time she spends exercising.
How much time does Becca spend dancing?
Answers
Answer:
1 1/4 hours
Step-by-step explanation:
3/2 x5/6
15/12
1 3/12
1 1/4
Hopes this help please mark brainliest
7
Select the correct answer.
The parent function f(x)=√x is transformed to g(x) = -2f(x). Which is the graph of g?
Answers
For the given set of functions, the correct graph is given below.
What is a graph, exactly?The link between lines and points is described by a graph, which is a mathematical description of a network. A graph is made up of some points and the connecting lines. It doesn't matter how long the lines are or where the points are located. A node is the name for each element in a graph.
Bar graphs, circle graphs, and line graphs are the three most often used types of graphs. Different types of data can be displayed using different types of graphs.
Figure 1 illustrates a graph, which is a graphic that explicitly depicts data along two dimensions.
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.Solve the multistep equation using distributive property.
2 (3x - 5) = 4x + 2
Answers
2(3x - 5) = 4x + 2
Using distributive property, we can write the equation as:
2(3x) - 2(5) = 4x + 2
⇒ 6x - 10 = 4x + 2
⇒ 6x - 4x = 10 + 2
⇒ 2x = 12
⇒ x = 12/2
⇒ x = 6
The value of x is 6
What is Distributive property?This property states that multiplying the total of two or more addends by a number will produce the very same result as multiplying each addend by the number separately and then adding the results together. The distributive property is the distributive law of multiplication over operations on basic arithmetic, such as addition and subtraction.Among the axioms for rings and fields are the distributive laws, such as the ring of integers (like the field of rational numbers). In this situation, multiplication has a distributive advantage over addition, while addition does not. Boolean algebras much like the algebra of sets or the switching algebra are two instances of structures with two operations that are each distributive over the other.To learn more about Distributive Property, refer to:
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write the equation of a line that passes through the point (9,-2) and is parallel to the line y+1=2(x-3)
Answers
Answer:
y = 2x - 20
Step-by-step explanation:
Equation of line: y =mx +bwhere m is slope and b is y-intercept.
y + 1 = 2(x - 3)
Write this equation in y = mx + b form.
y + 1 = 2x - 2*3
y + 1 =2x - 6
y = 2x - 6 - 1
y = 2x - 7
m =2
Parallel lines have same slope.
Slope of the required line = 2
y = 2x + b
The point (9,-2) passes through the line. Substitute in the above equation and find the value of 'b'.
-2 = 9*2 + b
-2 = 18 + b
-2 - 18 = b
[tex]\sf \boxed{b = -20}[/tex]
Equation of the required line:
y = 2x - 20
Nisha did the work below to solve an equation.
Step 1 7 b + 3.2 b minus 5 = 18.92
Step 2 10.2 b minus 5 = 18.92
Step 3 5.2 b = 18.92
Step 4 b = 3.64
In which step did Nisha make her first error?
a. Step 1
b. Step 2
c. Step 3
d. Step 4
Answers
Nisha solved an equation given, and she made a mistake in the third step. The correct option is c. step 3.
What is an error?An error in math is a mistake in solving any arithmetic equation or calculation. It can be calculating wrong or left a step.
Given;
Step 1: 7 b + 3.2 b - 5 = 18.92
Step 2: 10.2 b - 5 = 18.92 (Combining like terms in left side)
Step 3: 10.2b = 23.92 (Adding 5 on both sides)
Step 4: b = 3.64 (Dividing both sides by 10.2)
But in step 3, she did not add 5 on both sides.
5.2 b = 18.92 incorrect. The correct equation is 10.2b = 23.92
Therefore, the correct option is c. Step 3.
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What are the solutions to this equation?
22²= -10x + 12
x = 1
x=3
x = -6
x = -2
x = 6
x = -3
Answers
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included.It also goes by the name quadratic equations.The quadratic equation has the general form ax2 + bx + c = 0.where a, b, and c are numerical coefficients and x is an unknown variable.
What are the solutions to this equation?
22²-10x+12x
=484= -10x+12x
484=2x
2x=484
x=484/2
x=242
−10x+12x=1×x
Add the words in
2x=1×x
Simplify\s2x=x
Add or take away on both sides
2x−x=0
Take the terms x=0 out.
Evaluate 1×x=3x
Add the terms x=3x together.
Add or take away on both sides
x−3x=0
Remove the terms 2x=0.
Divide both sides by 2x to get 20.
Simplify −2−2x=0
Simplify x=0
Evaluate\s3x=−6x
Add or take away on both sides
3x+6x=0
9x=0 plus terms
Split the sides.
99x=90
Simplify99x=0
Simplify x=0
Evaluate−6x=−2x
Both sides should be added together, 6x+2x=0.
the expressions "4x=0"
Split the sides.
−4−4x=−40
Simplify−4−4x=0
Simplify x=0
Evaluate−2x=6x
2x6x=0 adds or subtracts both sides.
Remove the terms 8x=0.
Divide both sides by 8 to get 80.
Simplify−8−8x=0
Simplify x=0
Evaluates 6x=−3
Split the sides.
66x=6−3
Simplify 66x=−21
Simplify x=−21\s⎧x=242x=0x=0x=0x=0x=0x=−21
Simplify
⎧x=242x=0x=−21
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The results from a survey about the number of siblings a group of people have are shown in the table below. What is the median number of siblings? Number of siblings
Answers
Answer: The median number of siblings is 3.
Step-by-step explanation:
Put all of the numbers in STAT, Edit on your TI-84 Graphing Calculator.
Press STAT again and then slide over to CALC and hit 1-Var Stats.
Press ENTER and then 2ND, 2 for the FreqList, hit enter twice.
Scroll down to Med.
The median should equal 3.
5 inches5 inches3 inches8 inches
Answers
The area of a triangle is given by the following formula:
[tex]A=\frac{b\times h}{2}[/tex]Where b is the length of the base and h is the height of the triangle.
In this case, the length of the base equals 8 inches and the height of the triangle equals 3 inches, by replacing 8 for b and 3 for h, we get:
[tex]A=\frac{8\times3}{2}=\frac{24}{2}=12[/tex]Then, the area of this triangle equals 12 square inches.
i have 2 mins pleaseeee
Answers
Answer: 216.77
Step-by-step explanation:
A cube with side length 2 cm sits inside a rectangular prism with width = length
of 9 cm and a height of 4 cm. If the prism is filled with water until the cube is
totally covered (assuming no water goes into the cube), what is the volume (in
mL) used?
Answers
Side of the cube = 2 cm
Width of the rectangular prism = 9 cm
Length of the rectangular prism = 9cm
Height of the rectangular prism = 4 cm
Now,
The volume of total water (submerged cube)
= width of the rectangular prism x length of the rectangular prism x height of the cube
= 9 x 9 x 2 = 162 cm^3
As we know that 1 cm^3 = 1ml
So,
162 cm^3 = 162 ml
Hence the volume of water required to fill the prism such that the cube is submerged is 162 ml.
What is a Rectangular prism?The top, bottom, and lateral faces of a rectangular prism are all rectangles, ensuring that all of the pairings of opposite faces are congruent. A rectangular prism is a three-dimensional structure with six faces. A rectangular prism contains volume and surface area, just like any other three-dimensional structure. Cuboid is another name for a rectangular prism. It has a total of 6 faces, 3 pairs of which are identical opposite faces, making a rectangular prism's opposed faces all the same.The object has three dimensions: height, width, and length. Real-world examples of rectangular prisms include rectangular tissue boxes, notebooks for school, computers, fish tanks, huge buildings like rooms and storage sheds, as well as rectangular cargo containers.To learn more about rectangular prism, refer to:
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The number of cases of a new disease can be modeled by the quadratic regression equation y = -2x^2 + 36x + 6, where x represents the year.
Which is the best prediction for the number of new cases in year 15?
Answers
Answer:
A hope it helps follow please
Step-by-step explanation:
hope you have a great day today
Find the greatest possible error for each measurement. 1 1/4
Answers
Answer:
12 should be 1 as in 1 foot. 1' 1/4"
Step-by-step explanation:
Henry paid $32 to rent a table saw for a
two-day period. The maximum length of
time a customer can rent the saw is 10 days
Which equation can be used to find c, the
cost of renting the table saw for the
maximum number of days?
Answers
The equation to find C = no. of max day × rent of one day
The cost of renting table saw for max day = 160$
How to find rent for max days :
Henry paid 32$ for two days ,
so for 1 day = 32/2 = 16$
$16 is rent of table for one day.
The maximum length of time a customer can rent the saw is 10 days.
so, need to find rent for 10 days,
Cost of renting the table saw for 10 day = 10 × 16$
= 160$
How to calculate percentage :
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100Percentages have no dimension. Hence it is called a dimensionless number. If we say, 50% of a number, then it means 50 per cent of its whole.Percentages can also be represented in decimal or fraction form, such as 0.6%, 0.25%, etc.The formula used to calculate percentage is: (value/total value)×100%.To find 15% of 100, rewrite the 15% as 0.15. Then just multiply 0.15 x 100, to get the solution of 15.To learn more about Calculating rent refer :
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Which equation is most likely represented by the circle graphed above? (PC G.12)(1 point) 1 -5 10 O A. (x + 1)² + (y + 6)? = 16 O B. (x - 1)2 – (7-6)= 16 O c. (x - 1)2 + (5-6)2 = 16 O D. (x + 1)2 – (y + 6) = 16
Answers
We want to know which equation is most likely represented by the circle graphed.
For doing so, we remember the general equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]In the equation, (h,k) is the center of the circle, and r is the radius. Thus, if we obtain the center and the radius of the circle, we will be able to obtain its equation. The center is on the point (-1, -6), as we see on the figure:
And the radius (the distance from the center to a point of the circle) is 4:
Replacing on the formula, we obtain that the equation that represents the circle graphed is:
[tex]\begin{gathered} (x-(-1))^2+(y-(-6))^2=4^2 \\ (x+1)^2+(y+6)^2=16 \end{gathered}[/tex]Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to save the money at the monthly rate to buy the item for its cash price.
A computer with a cash price of $1,900 at $150.00 down and $87.50 per month for 24 months.
Answers
If a computer with a cash price of $1,900 at $150.00 down and $87.50 per month for 24 months. a. The total installment price is $2250, b. The carrying charges, and (c) the number of months needed to save the money at the monthly rate to buy the item for its cash price is 22 months.
Total installment pricea. Total installment price:
Total installment price = 150 + 87.50 (24)
Total installment price =150 + 2100
Total installment price =2250
b. Carrying charges :
Carrying charges = Total installment price - Cash price
Carrying charges = 2250 -1900
Carrying charges = 350
c. Number of months needed:
Number of months needed = Cash price / 87.50 per month
Number of months needed = 1900 / 87.50 per month
Number of months needed = 21.7 months
Number of months needed = 22 months (Approximately)
Therefore installment price is 2250, charges is 350 and the number of months is 22.
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(y=
{ y =
4
²/x - 3
x + 1
5
4
5
How many solutions does this system of equations have? Show how you know
Answers
The system of equations containing equations y = 5/2 x + 2 and 2y = 5 x + 4 will have infinitely many solutions.
What is system of equations?
A finite collection of equations for which we searched for the common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized. In everyday life, systems of equations are used to model problems when the unknown values can be represented by variables.
Given equations:
y = 5/2 x + 2
2y = 5 x + 4
We will use the substitution method, to get the values of x and y:
2 ( 5/2 x + 2 ) = 5 x + 4
5 x + 4 = 5 x + 4
0 · x = 0
x , y ∈ R
Therefore, this system of equations will have infinitely many solutions.
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Complete question
How many solutions does the following system of equations have?
y = 5/2x + 2,
2y = 5x + 4.
I dont need the graphing part, just the way you got all the answers
Answers
The properties of the graph are
Direction = Upy-intercept = -12Axis of symmetry = x = 2Min = -16Vertex = (2, -16)Zeros/Roots/x-intercept = -2 and 6How to complete the table?The equation of the function is given as
f(x) = (x - 2)(x + 6)
The above equation is a quadratic function.
Next, we plot the equation on a graph (see attachment)
Set x = 0 to determine the y-intercept
y-intercept = (0 - 2)(x + 6)
y-intercept = -12
Expand the function to determine the symmetry axis
f(x) = x^2 - 2x + 6x - 12
Differentiate and set to 0
2x - 2 + 6 = 0
This gives
x = -2 --- axis of symmetry
Substitute x = -2 in the function to calculate the vertex/Min/Max
f(-2) = (-2 - 2)(-2 + 6)
f(-2) = -16
This means that
Direction = Up, Min = -16 and Vertex = (2, -16)
Set the function to 0 to determine the roots
(x - 2)(x + 6) = 0
Solve for x
x = 2 and x = -6
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Help find the value of x due today
Answers
Answer:if that is 68 get should be 68 degrees too
Step-by-step explanation:
Step-by-step explanation:
68+68+y=180
136+y=180
y=180-136
y=44°
T°=90-44
T°=46°
x+x+46=180
2x=180-46
2x=136
x=136÷2
x=38°
Drag the red and blue dots along the x-axis and y-axis to graph -3x+4y=24−3x+4y=24.
Answers
The graph intersect y axis at (0, 6) and x axis at (0, -8).
What is graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Usually, data that varies over time is represented with a line graph.
Given:
-3x+4y=24
Now, plotting the given graph
Thus, the graph intersect y axis at (0, 6) and x axis at (0, -8)
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What is 1.28×10 power negative 1 ×10 power negative 2
Answers
Answer:
0.00128
Step-by-step explanation:
1.28 x 10^-1 x 10^-2
1.28 x 0.1 x 0.01
1.28 x 0.1 x 0.01
0.00128
So if 3x=21, how would i find the value of 22-4x?
Answers
Answer:
-6
Step-by-step explanation:
x= 21/3
x=7
using this value,
22-4x= 22-4*7
=22-28
=-6
Please help me!!
A model is built having a scale of 1:15,000. How high would a 48,800-ft mountain be in the model? Give your answer to the nearest tenth of an inch.
(A.) 585600 in.
(B.) 19.5 in.
(C.) 3.3 in.
(D.) 39.0 in.
Answers
According to the scale the model mountain would be 39.04 inches.
Scale factor is the ratio of an object's original scale to that of a new object that is a representation of it but in a variety of sizes (bigger or smaller).
For instance, by increasing each side by, say, 2, we can expand the size of a rectangle with sides of 2 cm and 4 cm. The second figure will mimic the first figure, but every dimension of the second rectangle will be double that of the first figure. In this instance, the scale factor will be indicated by the number 2.
We now that 48800 feet = 48800 × 12 inches = 585600 inches
Scale = 1:15,000
height of model = 585600 ÷ 15000 = 39.04 inches
Hence the length of the model is 39.04 inches.
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The ratio 2/5:1/4 has a unit rate of 8/5 true or false
Please help!!!
Answers
Answer:
true
Step-by-step explanation:
2/5 to 1/40.40 to 0.25 (convert decimal to fractions)40 to 25 (multiply 100 to both numbers to obtain whole numbers)8 to 5 (common factor of 5 cancel out, b/c a ratio can be written as a fraction)8/5In the similar triangles below, what is the length DF
24 cm
16 cm
12 cm
8 cm
Help ASAP
Answers
Length of DF is 24cm.
Define similarity.If one figure may be produced from the other by a single transformation, or by a series of transformations, such as translations, reflections, rotations, and/or dilations, then and only then are two figures said to be similar. When there is a similarity transformation, the transformed image has the same shape as the original. There will always be similar varieties of triangles, quadrilaterals, and polygons. For instance, squares and equilateral triangles are both similar shapes. We know the lengths of comparable sides are proportional if two polygons resemble one another.
Given,
Two triangles are similar,
DF = AC (3)
DF = 8(3)
DF = 24
Length of DF is 24cm.
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Please solve the following question
Answers
Answer: Therefore, the value of k is -20
Step-by-step explanation:A=-26-3= -29
B=-3x+2
C = -2x + 7
A+B+C= -29 -3x +2 -2x +7
A+B+C= -29 +2+7 -3x -2Xx
A+B+C= -20-5x
The ratio of pennies to dimes I have is 3:5. I have a 2:3 ratio of dimes to quarters. If I have 75 quarters, how many pennies do I have? A. 30 pennies B. 48 pennies C. 50 pennies D. 72 pennies
Answers
They have [tex]30[/tex] pennies. So the option A is correct.
The ratio of pennies to dimes they have is [tex]3:5[/tex].
They have a [tex]2:3[/tex] ratio of dimes to quarters.
They have [tex]75[/tex] quarters.
We have to find the how many pennies they have.
The ratio of pennies to dimes [tex]=3:5[/tex]
We can write it as
Pennies : Dimes[tex]=3:5[/tex]
The ratio of dimes to quarters [tex]=2:3[/tex]
We can write it as
Dimes : Quarter [tex]=2:3[/tex]
When we see both ratio then we can notice that the ratio of dimes is different in both ratio.
So firstly we equal the ratio of dimes.
We can equal the ratio of dime in the ratio of pennies to dimes by multiplying with [tex]2[/tex] in both ratio and in the ratio of dimes to quarters by multiplying [tex]5[/tex] on both side.
Now we get after multiplying in the ratio.
Pennies : Dimes[tex]=3\times2:5\times2[/tex]
Pennies : Dimes[tex]=6:10[/tex]
Dimes : Quarter [tex]=2\times5:3\times5[/tex]
Dimes : Quarter [tex]=10:15[/tex]
The number of quarter is [tex]75[/tex].
They given in the ratio which means there have any number in the multiple of ratio. That which we can get real value from the ratio.
So we used [tex]x[/tex] as a multiple of ratio.
If we see in the ration of Dimes and Quarter the ratio of quarter is [tex]15x[/tex].
Now the value of quarter
[tex]15x=75[/tex]
Now the value of [tex]1[/tex] quarter
Divide by [tex]15[/tex] on both side.
[tex]\frac{15}{15}x=\frac{75}{15}[/tex]
[tex]x=5[/tex]
Hence, the value of [tex]x[/tex] is [tex]5[/tex].
Now we have to find the value of pennies.
In the ratio we can see that the ratio of pennies is [tex]6[/tex].
We can find the value of pennies by multiplying with [tex]5[/tex].
After multiplying we get [tex]30[/tex].
Hence, they have [tex]30[/tex] pennies. So the option A is correct.
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Answer: A
Step-by-step explanation:
Solve (x - 5)² = 3.
A. x=-51-√3
B. x=8 and x= -2
C. x=3+√5
D. x=5+√3
Answers
Can someone help me with this math
Answers
Answer:
110 is the answer
Step-by-step explanation:
I can't not just under 30 letters so I'm doing this so I can actually submit this so u can see this answer so dont mind this part right here
1. Two functions are shown below.
f(x) = 2x² += 5x -5
g(x) = -2x - 10
What is the y-value when f(x) = g(x)?
Answers
The factors of the given functions are ( x+ 1 ) and ( 2x + 5 )
Given : The two functions are f(x) = 2x² += 5x -5 and g(x) = -2x - 10
In questions like these where we have to equate the two functions. We first have to do the obvious step that is equate the two values and then after that we are supposed to bring the like terms to one side because this will make the calculation both easy and less time consuming .
So as mentioned above
f( x ) = g ( x )
2x² + 5x -5 = -2x - 10
Now bring the like variables together ;
2x² + 7x = -10 + 5
this implies the equation becomes
2x² + 7x = - 5
which can also be written as
2x² + 7x + 5 = 0
Now we can solve it further by splitting the middle term
and we will get:
2x² + 5x + 2x + 5 = 0
Taking out the common factors '
x( 2x + 5 ) + 1 ( 2x + 5) = 0
( x+ 1 ) ( 2x + 5 ) = 0
Thus the two factors are ( x+ 1 ) and ( 2x + 5 )
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Find the slope of the line passing through the points (-4, 3) and (-4,-5).
slope:
Find the slope of the line passing through the points (-2, -9) and (3, -9).
slope:
Answers
y2 - y1 / x2 - x1
#1: (-5)-3 / (-4)-(-4) = Undefined
#2: (-9)-(-9) / 3-(-2) = Zero (0)
