Step 1: Find the Slope
Parallel lines have the same slope, therefore the slope of our new line is also -7.
Step 2: Find the Y-Intercept
Once we have the slope and a point on the line, we can solve for the y-intercept. Plug in the slope and the given point into slope-intercept form and solve for b.
Slope-Intercept Form: y = mx + b
Slope = -7
Point = (0, 4)
4 = -7(0) + b
b = 4
Step 3: Form the Equation of the Line
Now that we have both the slope and the y-intercept of the new line, all that's left to do is plug those values into slope-intercept form.
Slope-Intercept Form: y = mx + b
m = -7
b = 4
Equation of the New Line: y = -7x + 4
Answer: y = -7x + 4
Hope this helps!
Answer:
y = -7x + 4
Step-by-step explanation:
Given
point = (0, 4)parallel to y = -7x + 1Solving
Slope of new line is also -7y - 4 = -7(x - 0)y - 4 = -7xy = -7x + 4Substititue 5 for x. Is the solution true?
3x + 4 - x = 4x - 6
Answer:
It's a true solution.
Step-by-step explanation:
[tex]3(5) + 4 - 5 = 4(5) - 6[/tex]
[tex]15 + 4 - 5 = 20 - 6[/tex]
[tex]19 - 5 = 14[/tex]
[tex]14 = 14[/tex]
Which expressions are equivalent to In e?
Answer:
lne = log(e)e = 1
Step-by-step explanation:
I hope this helps!
In the figure below, triangle B C A tilde triangle S T R. Find cos T comma sin T comma and tan T. Round your answers to the nearest hundredth.
Donal buys a 1/4 pound package of cheese. There are 8 slices of cheese in the package. Each slice has the same wieght. What fraction of a pound is each slice?
Answer:
1/32 lb per slice
Step-by-step explanation:
We want the pounds per slice, or lb/slice.
We have 0.25 lbs and 8 slices, so: (0.25 lb/8 slices)
(0.25 lb/8 slices) = (1/8)(0.25)
(1/8)(0.25)(4/4) = 1/32 lb per slice
Check:
(8 slices)*(1/32 lb/slice) = 8/32 lb
8/32 = 1/4 lb total YES
I need help!!!!! 4. Determine 3 possible solutions to the inequality below
Answer:
5,6,7
Step-by-step explanation:
the unfilled circle means that you dony inclued 4, and since the blue line is going u the scale means it can be any number higher than 4
5[tex]5x^{2} + 20x - 60 =[/tex]
Answer:
5
x
2
+
20
x
−
60
Factor
5
out of
5
x
2
+
20
x
−
60
.
Tap for more steps...
5
(
x
2
+
4
x
−
12
)
Factor.
Tap for more steps...
5
(
x
−
2
)
(
x
+
6
)
Step-by-step explanation:
ANSWER IS =5X2+20X-60
------------------------------
THIS ANSWER IS CORRECT
Find the area of a regular decagon (10 sides) with perimeter 100 units. Show all work
Answer:
What's the complex name
Pd(co2) (me3p)2
What is the answer to this math problem?
Answer:
7
Step-by-step explanation:
[tex]\dfrac{9 + 5}{2} \\\\\\= \dfrac{14}{2} \\\\\\= \dfrac{2 \times 7}{2} \\\\\\= \dfrac{7}{2 \div 2} \\\\\\= \dfrac{7}{1} \\\\\\= 7[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{9+5}{2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{14}{2}[/tex]
[tex]\\ \rm\Rrightarrow 14\div 2[/tex]
[tex]\\ \rm\Rrightarrow 7[/tex]
Done!
A frog jumps in the air. The height, in inches, of the frog is modeled by the function h(t)=60t-75t , where t is the time after it jumped, measured in seconds.
Solve .
The time of motion of the frog after it jumped into air is determined as 0.8 second.
Time of motion of the frog
The time of motion of the frog is determined by solving the quadratic equation as follows;
60t - 75t² = 0
60t = 75t²
divide both sides by t
60 = 75t
divide both sides by 75
60/75 = t
0.8 s = t
Thus, the time of motion of the frog after it jumped into air is determined as 0.8 second.
Learn more about time of motion here: https://brainly.com/question/2364404
Can someone please help me on this?
Answer:
see image
Step-by-step explanation:
You graph a piecewise function just like three separate graphs. See where there is a greater than > or less than < symbol (without the "or equal to" line underneath) these will have open circle endpoints. See image.
Ed Galaxy- Operations with whole numbers and decimals
Answer:
0.6
Step-by-step explanation:
1.0l-0.4l=0.6L
The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40. The mean hours students reported practicing their instruments is . The mean absolute deviation for the data is .
Answer:
The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40.
The mean hours students reported practicing their instruments is
✔ 33
.
The mean absolute deviation for the data is
✔ 6
.
Step-by-step explanation: answers.
Kristine wants to do hardwood flooring for her room. A floor plan of the room (in feet) is shown. How much hardwood flooring does she need?
Kristine would require at least 116ft of hardwood flooring for her room.
The answer is arrived at by using simple calculations of the area of a square - a polygon.
How do we arrive at the answer above?Note that there are missing portions on the shape of the floor. (See a more elaborate version attached).
The side labeled F = 12ft
The side labeled CDE comprises three sides: 8, 2, and 2 respectively. This is also equal to 12.
With this information, we can calculate the area of the square assuming it was full.
The area of a square is given as:
Length x Breadth or L²;
that gives us: 12 x 12 or 12² = 144ft.
Now we get the total actual area by removing the areas of the missing segments.
Section Ax and Ay is also a square. because the length and the breadth are equal.
hence the area of AxAy = 16ft.
We also have the area of the section labeled D,Dx. This section is a rectangle. The formula for the area of a rectangle is:
Length x Breadth.
Hence, we have
6 x 2 = 12ft.
Total area of missing sections are:
12 + 16 = 28ft.
The total area of the square less the missing areas is:
144 - 28 = 116ft.
Hence the total amount of Hardwood that Kristine would require in square ft is 116ft.
See the attached images and learn more about areas of polygons at:
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A fence installation company sells 4 models of chain-link fencing, 2 models of wood fencing, and 3 models of iron fencing. What is the total number of models of fencing that the company sells?
A. 24
B. 11
C. 6
D. 9
Answer:
D.
Step-by-step explanation:
What percent is equivalent to 24\50? 24% 48% 50% 52%
Answer:
48%
Step-by-step explanation:
If you convert 24/50 to a percentage the answer is 48%
[tex] \frac{24}{50} [/tex]
to find:the equivalent percent.
solution:[tex] \frac{24}{50} [/tex]
[tex] = 0.48[/tex]
[tex]0.48 \times 100\%[/tex]
[tex] = 48\%[/tex]
therefore, the equivalent percent of 24/50 is 48%
Are the given vectors normal? a = < 5 , − 2 > and b = < 6 , 15 > Equation editor does not include the grouping symbols " < " and " > " that are necessary for writing a vector in component form. For this question, use braces to write a vector in component form. For example, the vector < 2 , 3 > should be written as { 2 , 3 } .
Answer:
Yes.
Step-by-step explanation:
Yes. They are normal
Can someone help me with this pls
Correct solution:
⇒ 8 ÷ 1/8⇒ 8 x 8⇒ 64Ty and Leo are walking along linear routes in a city. On a map of the city, Ty's route passes through the coordinates (-1, 3) and (0, 1) and Leo's route passes through the coordinates (1, 4) and (0, 2). Will Ty and Leo pass through a common coordinate, walk along the same route, or never cross routes?
Answer:
Step-by-step explanation:
hello .....
note : the slope of the line (AB) is :
m = (YB -YA)/(XB - XA)
in this execice given A (-1, 3) and B(0, 1)
m1= (1-3)/(0+1) so : m1= -2
same method for the line (CD) : m2 = (4-2)/(1-0) and C(1;4) D(0;2)
so: m2 = 2
conclusion : m1 ≠ m2
Will Ty and Leo pass through a common coordinate,
Pedro’s book weighs 194 pounds. blanca’s book weighs 177 pounds. use estimation to determine about how much more pedro’s book weighs than blanca’s.
(i dont know what you mean by that cause clearly just do 194 - 177 = 17 pounds)
Round 194 pounds to 190 ; 177 to 180
In estimation, Pedro's book weighs 190 - 180 = 10 pounds more.
190 : 180 = 1.06 times more.
8 less than a number is more than 12 numeral form
8 less than a number means to subtract 8 from that number.
answer: n - 8 > 12
Answer:
n - 8 > 12
Step-by-step explanation:
Let the number be n. Then n - 8 > 12
Classify each polynomial and determine its degree. the polynomial 3x2 is a with a degree of . the polynomial x2y 3xy2 1 is a with a degree of .
[tex]\rm 3x^2[/tex] is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex] is the polynomial of two variables with third-order
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have polynomials:
[tex]\rm 3x^2[/tex] and
[tex]x^2y+3xy^2+1[/tex]
For [tex]3x^2[/tex]
In this polynomial, the number of variables is one and the maximum power of x is 2, therefore:
This is the polynomial of one variable with second order.
In polynomial, [tex]x^2y+3xy^2+1[/tex] there are two variables x and y.
The maximum power of x is 3( x has a power of 2 and y has a power of 1)
This is the polynomial of two variables with third order.
Thus, [tex]\rm 3x^2[/tex] is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex] is the polynomial of two variables with third-order.
Learn more about Polynomial here:
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Answer:
The polynomial 3x2 is a monomial with a degree of 2
The polynomial x2y + 3xy2 + 1 is a trinomial with a degree of 3
Step-by-step explanation:
In a right triangle, cosine a = 0.352 and sine a = 0.936. what is the approximate value of tangent a? 0.329 0.376 1.288 2.659
The value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
What are the trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle. The value of tangent of angle is equal to the ratio of sine of that angle to the cosine of that angle.
[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}[/tex]
Here, θ is the angle.
The value of angle given in the problem are,
Cosine a = 0.352 Sine a = 0.936.Put these values in the above fromula as,
[tex]\tan (a)=\dfrac{\sin(a)}{\cos(a)}\\\tan (a)=\dfrac{0.936}{0.352}\\\tan(a)=2.659[/tex]
Hence, the value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
Learn more about the trigonometric ratios here;
https://brainly.com/question/24349828
Answer:
D(2.659)
Step-by-step explanation:
got it right on edg
Which graph line represents an equation of a line with a slope of -2 and a point on the line of (-1, 2)
Answer:
purple
Step-by-step explanation:
Chase brought 6 toys to school. That is 20% of all his toys. What is his total amount of toys?
Answer:
30
Step-by-step explanation:
20 % of his toys are 6. 20 % of a number could only be 100, 100 / 20 = 5
Multiply 5 by 6 and u get 30 :D
Explain how you know 3⁴=9² without calculating the values.
Answer:
See below
Step-by-step explanation:
[tex] {3}^{4} = ( {3}^{2} )^{2} = {9}^{2} \\ \\ \implies \: {3}^{4} = {9}^{2}[/tex]
Answer:
think of it like this
Step-by-step explanation:
whenyou have 9 squared you do 9*9 but since we are not able to calculate the values we will just say thereare 2 9's
Now we got 3^4 how many three's multiplied together make 9.. answer is 2 So If you simplify3^4 to 9^2 they are both the same
basically you are multtiplying the left side to get the same number on the right because it tells you they are even
what is 445 fl oz into pints and why?
Answer:
27.8 nearest tenth pints
To find, divide the value by 16
Find the ratios of the quantities below and write them in the form a/b (a over b)
1. 8cm and 17cm
2. 3800$ and 1500$
3. 1 1/2 day and 13 hours
Answer:
Hope the picture will help you
the table shows some ordered pairs that belong to quadratic function h
The table represents the quadratic function h(x)
The range of the quadratic function is (d) all real numbers greater than or equal to -8
How to determine the range?The range of the quadratic function is the list of the function ouput values.
From the table, we have:
The smallest output value is -8
Assume this is the vertex of the quadratic function, the range of the quadratic function would be (d) all real numbers greater than or equal to -8
Read more about range at:
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I need help on number 16 these instructions say to solve these equations by cross multiplying
Answer:
15. x = 4
16. a = 19
Step-by-step explanation:
"Cross multiply" essentially means "multiply both sides of the equation by the product of the denominators."
__
15.[tex]\dfrac{x}{6}=\dfrac{2}{3}\\\\3(x)=6(2)\qquad\text{"cross multiply"}\\\\\boxed{x=4}\qquad\text{divide by 3}[/tex]
This is an example of a problem in which cross-multiplying introduces the need for an extra step: divide by 3. Had we simply multiplied by the denominator of the x-term, we would have been finished in one step:
x = 6(2/3) = 4
That is, rather than multiplying by the product of the denominators, sometimes the problem can be solved more easily if you multiply by their least common multiple.
__
16.[tex]\dfrac{a+1}{a+5}=\dfrac{a-4}{a-1}\\\\(a-1)(a+1)=(a+5)(a-4)\qquad\text{"cross multiply"}\\\\a^2-1=a^2+a-20\qquad\text{simplify}\\\\\boxed{19=a}\qquad\text{add $20-a^2$}[/tex]
3. Classify the angle pair using all the names that apply.
2
Angles that are directly across from each other and created from intersecting lines are called vertical angles. Vertical angles are congruent.
Hope this helps!
