Write an equation of the line that passes through the point (4, 14) and is parallel to the line whose equation is y=3x-7.

Answers

Answer 1

Answer:

y = 3x + 2

Step-by-step explanation:

If the line is parallel, then the slope remains the same.

To find the y-intercept, just plug the coordinates into the equation

y = 3x + b

14 = 3(4) + b

14 = 12 + b

2 = b

The equation is y = 3x + 2

Answer 2

Answer:

Slope intercept form

y=3x^2−19x+42

or

Point slope form

y−14=(3x−7)⋅(x−4)

Step-by-step explanation:

:)


Related Questions

can someone please help with parts a, b, and c (picture included)

Answers

Answer:

Step-by-step explanation:

1 soulotion one soulotion info soulotion no solution

Sally's huge dog weighed 175 pounds in 2018 and then weighed 145 pounds in 2020. What was the rate of change in weight?
pounds per year?

Answers

Answer: 15 lbs per year

Step-by-step explanation:

Huge dog lost 30 lbs in a span of 2 years so divide to find rate of change which is 15lbs per year

Answer: -15 pounds per year

Step-by-step explanation:

We can first list out all the information like Year, Weight

so (2018, 175) and (2020,145)

It asks to find the slope, so we just use the slope formula

175-145/2018-2020 = 30/-2 which is -15

Priya is simplifying the expression $$ Her work is shown to the left. Priya's work is incorrect. Explain the error she made

Answers

Step-by-step explanation:

P.S - The exact question is -

Given - Priya is simplifying the expression -2(4 - 2x) - 3 - 2x  Her work is shown to the left.  

To find - Priya's work is incorrect.  Explain the error she made.

Proof -

Priya simplified the problem as follows :

-2( 4 - 2x ) - 3 - 2x

-8 - 2x - 3 - 2x

-11 - 4x

But the simplification has to be like

-2( 4 - 2x ) - 3 - 2x

⇒-2(4) - 2(-2x) - 3 - 2x

⇒-8 + 4x - 3 - 2x

⇒-8 - 3 + 4x - 2x

⇒-11 + 2x

So, Priya made an error in the second line.

In the second line it has to be -8 + 4x - 3 - 2x but Priya has written -8 - 2x - 3 - 2x.

0.5w+3x,when w=6,x=5

Answers

Answer:

3 + 15 =

18

Step-by-step explanation:

0.5 x 6 =3

3 x 5 = 15

You pick from cards at random 2 4 5 6 7 8 9 Which is P(prime)

Answers

Answer:

2, 3, 5, 7

Step-by-step explanation:

They are all prime

Answer: 2,3,7,5

Step-by-step explanation:

2 is an exeption for a prime number but 3,7,5 are only diviusible by 1 and itself

what is the equation of the line that passes through the point (-6,-5) slope of 3/2?​

Answers

It is y=3/2x+b
-5=3/2(-6)+b
-5=-9+b
4=b

Suppose y varies directly with x, and y = 14 when x = 2. What direct variation equation relates x and y? What is the value of y when x = 6? Explain. Show your work

A. The equation y = 2x relates x and y. When x = 6, y =2(6) or 12.
B. The equation y = 14x relates x and y. When x = 6, y =14(6) or 84.
C. The equation y = 7x relates x and y. When x = 6, y =7(6) or 42.

Answers

Answer: C. The equation y = 7x relates x and y. When x = 6, y =7(6) or 42.

Step-by-step explanation:

Using direct variation with the formula:

y = kx

Since y =14, when x = 2.

y = kx

14 = 2k

k = 14/2

k = 7

Therefore, y = 7x

The value of y when x = 6 will be:

y = kx

y = 6k

Recall that k = 7

y = 6 × 7

y = 42

Therefore, the equation y = 7x relates x and y. When x = 6, y =7(6) or 42.

how many yards are in 45 inches

Answers

Answer:

1.25

Step-by-step explanation:

the roots of f(x)=-2x^2+8x+13 are __________and __________ the vertex of the parabola is at _________

Answers

Answer:

roots:  2 ± (1/2)√42

                                                                  -8

axis of symmetry:  x = -b/(2a)  is  x = ---------------- = 2

                                                                 2(-2)

vertex:  (2, f(2) ) = (2, -2(2)^2 + 8(2) + 13 ), or (2, 21)

Step-by-step explanation:

First, let's determine the roots of this quadratic, using the quadratic formula.  Here the coefficients are -2, 8, 13.

Thus, the discriminant b^2 - 4ac is 8^2 - 4(-2)(13), or 64 + 104, or 168.  Because the discriminant is positive, we know that there are two different real roots.

They are:

        -8 ± √168                       -8 ± 2√42

x = ---------------------  or  x =  ---------------------  =  2 ± (1/2)√42

               -4                                     -4

Please help me with this homework

Answers

Answer:

5m  the last option is correct

Step-by-step explanation:

by phythagorean theorem

hypotenuse^2=base^2+altitude^2

hypotenuse ^2= (4)^2+(3)^2

                        =16+9

                        =25

taking square root on both isdes

 hypotenuse=5 m

help with this question thx

Answers

Answer:

3.5ft

Step-by-step explanation:

ahh problem/question in the image ​

Answers

Answer:

60 clockwise

Step-by-step explanation:

In the dot plot above, the length of the coastline of each country in South America is shown in
thousands of kilometers (1000-km), rounded to the nearest thousand kilometers. According to
the dot plot, what is the mean length of coastline, in thousands of kilometers?

Answers

Answer:2

Step-by-step explanation:it’s the average

Answer:

2

Step-by-step explanation:

Given:

The length of coastline of each country in south America in thousands of kilometers.

To find:

The mean length of coastline, in thousands of kilometers

Explanation:

America is shown in thousands of kilometers so, using the given information

= 6(0) + 2(1) + 2(2) + 5(1) + 6(1) + 7(1)

= 30

= 30/15

= 2

Answer is 2 thousand kilometers

please help me solve for x and find missing side lengths and angle measures,,

Answers

Answer: 90

Step-by-step explanatio

Answer:

the angle measure for angles T and V would be 127 because they are on opposite locations from each other. the angles S and U would 53 because T and U are coplemantery angles (180 degrees) so you subtract. 180-127 to get 53. To find x, on angle S, we simply subtract 1 from 53 (53-1) and divide the answer by 2. To find the lengths of the sides, put them next to each other and separet

them by an equal sign. subtract 3y from both sides of the equation and add 5 to both sides of the equation to get 3y=12. then divide 12 by 3 to get 4 so y=4. Then, simply replace the y with a 4 and solve the equations of the sides.

Finit set:
1+2+3+........+25=??

Answers

Answer:

Finite set: A set is said to be a finite set if it is either void set or the process of counting of elements surely comes to an end is called a finite set.

In a finite set the element can be listed if it has a limited i.e. countable by natural number 1, 2, 3, ……… and the process of listing terminates at a certain natural number N.

The number of distinct elements counted in a finite set S is denoted by n(S). The number of elements of a finite set A is called the order or cardinal number of a set A and is symbolically denoted by n(A).

Thus, if the set A be that of the English alphabets, then n(A) = 26: For, it contains 26 elements in it. Again if the set A be the vowels of the English alphabets i.e. A = {a, e, i, o, u} then n(A) = 5.

Step-by-step explanation:

1+2+3+4+5+6..........23+24+25=325

Rewrite the function in standard form.
f(x) = 4(x - 2)^2+ 3

Answers

Answer:

f(x) = 4x^2 - 13

Step-by-step explanation:

f(x)=4(x-2)^2 + 3 parentaties first

f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties

f(x) = 4x^2 - 16 + 3 combine light terms

f(x) = 4x^2 - 13 Answer

Hope I helped :)

A cylinder has a diameter of 12 centimeters and a height of 7 centimeters. Which formula below could be used to determine the lateral surface area of the cylinder?

Answers

SA = 12(pi)(7)
SA is about 263.89

Solve the equation for the interval [0, 2pi). 2sin^2x = sin x
A) 0, pi, pi/6, 5pi/6
B) pi/6, 5pi/6
C) pi/3, 2pi/3
D) pi/2, 3pi/2, pi/3, 2pi/3​

Answers

Answer:

A

Step-by-step explanation:

We want to solve the equation:

[tex]2\sin^2(x)=\sin(x)[/tex]

For the interval [0, 2π).

First, we can move all the terms to one side. Start off by subtracting sin(x) from both sides:

[tex]2\sin^2(x)-\sin(x)=0[/tex]

We can factor:

[tex]\sin(x)\left(2\sin(x)-1\right)=0[/tex]

By the Zero Product Property:

[tex]\sin(x)=0\text{ or } 2\sin(x)-1=0[/tex]

Solve for each case:

[tex]\displaystyle \sin(x)=0\text{ or } \sin(x)=\frac{1}{2}[/tex]

Use the unit circle to solve:

[tex]\displaystyle x=\left\{0, \frac{\pi}{6},\frac{5\pi}{6}, \pi\right\}[/tex]

Hence, our answer is A.

*Please note that we should not simply divide both sides by sin(x) to acquire 2sin(x) = 1. The problem with the operation is that we are dividing by sin(x), yet we do not know what the value of x is. Thus, one or more values of x may result in sin(x) = 0, and we cannot divide by 0. Hence, we are required to subtract and then factor, unless the question specifically states that sin(x) ≠ 0.

The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared

Answers

Answer:

[tex]b_1 \approx 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Step-by-step explanation:

Given

[tex]Area = 65cm^2[/tex] --- Area of the triangle

[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid

The missing parameters is:

[tex]h=6 cm[/tex] --- Trapezoid height

Required

Determine b1 and b2

Since the areas of the trapezoid and the triangle are the same, then:

[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]

So, we have:

[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]

Substitute[tex]b_2 = 2b_1[/tex]

[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]

[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]

[tex]65 = 3b_1 * 3[/tex]

[tex]65 = 9b_1[/tex]

Solve for [tex]b_1[/tex]

[tex]b_1 = \frac{65}{9}[/tex]

[tex]b_1 \approx 7.2[/tex]

Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]

[tex]b_2 \approx 2 * 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]


someone please help meeee !! I would really appreciate it

Answers

Answer:

cos 25° = X/11

and

sin 65° = X/11

is this good enough or do you need more workings?

Answer:

C = 90°

Step-by-step explanation:

The interior angles in every triangle are equal to 180 degrees. So, this means that

[tex] \alpha + \beta + \gamma \\ = 180 \: degrees[/tex]

Which means that A + B +C = 180 degrees

A=25°

B = 65°

C =?

C = 180° - (A + B)

C = 180° - (25° +65°)

C = 180° - 90°

C = 90°

For Quon's first 6 quizzes he had a mean score of 33 points. After his 7th quiz his mean score was 32 points. After the 8th quiz the mean was 34. What was the difference in scores between his 7th and 8th quizzes

Answers

Answer:

Difference in scores between his 7th and 8th quizzes = 22

Step-by-step explanation:

Given: Mean score for first 6 quizzes is 33 points. After his 7th quiz his mean score was 32 points. After the 8th quiz the mean was 34.

To find: difference in scores between his 7th and 8th quizzes

Solution:

Mean scores = Total points scored in quizzes ÷ Number of quizzes

So,

Total points scored in quizzes = Mean scores × Number of quizzes

As mean score for first 6 quizzes is 33 points,

Total points scored in 6 quizzes = 6 × 33 = 198

As mean score for first 7 quizzes is 32 points,

Total points scored in 7 quizzes = 7 × 32 = 224

So,

7th score = Total points scored in 7 quizzes - Total points scored in 6 quizzes

               = 224 - 198

               = 26

As mean score for first 8 quizzes is 34 points,

Total points scored in 8 quizzes = 8 × 34 = 272

So,

8th score = Total points scored in 8 quizzes - Total points scored in 7 quizzes

               = 272 - 224

               = 48

Therefore,

Difference in scores between his 7th and 8th quizzes = 48 - 26

                                                                                          = 22

Mark correct answer for wrong ones.
Except one needs to answers I haven't gotten to yet. Correct answer gets brainliest!

Answers

Answer: Can I see a better pic?

Step-by-step explanation:

Answer: D and C

Step-by-step explanation:

Find the area of the semicircle. Round your answer to the nearest whole number, if necessary.



area: about
cm2

Answers

Answer:

2513.27  my dear check if correct

Step-by-step explanation:

Answer:

it 628 i hope that helps you

Step-by-step explanation:

marking brianliest pls help

Answers

Answer:

117.3

Step-by-step explanation:

7*4=117.29=117.3

makenzie earns 12.50 per hour being a lifeguard. how much will she earn in 5 days if she works 7 hours each day

Answers

5(12.50 x 7) = 437.5

Explanation: you take the amount she makes for one hour (12.50), times it with the hours she works in a day (7), and then times it with how many days she works (5).

Find the area of the shape

Answers

Answer:

1725

Step-by-step explanation:

40 is the number of the slope the height is 30.

5. The scatterplot below shows data for the nine french fry orders from the previous problem, with
the least-squares regression line displayed. Which of the following is the best estimate of the value
of the residual for the point indicated by the arrow?
620
560
calories
500
+
440
00
380
8 12 16 20 24 28 32 36
fat
(A) -570
(B) 570
(C)-60
(D) 60
(E) 630

Answers

Answer:

-60

Step-by-step explanation:

residual = actual - predicted = 570 - 630 = -60

Help please, i give brainlist

Answers

1st one is -9x+6, -16x-14, 7x+3,4x-14, 3x+11,-9x-2,24x-40

help please lol :)))))))

Answers

How come it’s a right triangle, I think you do a2+b2=C2. Therefore, you do 9.4 times 9.4 and then 15.1 times 15.1. So it will be 9.4 + b2=15.1. 88.36+ b2=228.01. Then you subtract that and it will be 139.65. Then you do square roots because you are trying to get rid of the second power. And the final answer is 11.81736011. How they told you to round it to the nearest tenth, I will be 11.8. I think this is the answer.

A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-4,-6). What is the vertex of the function defined as
g(x) = f(x) + 3?

Answers

Answer:

(- 4, - 3 )

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

For

g(x) = f(x) + 3

This is the graph of f(x) shifted 3 units up

Given the vertex of f(x) = (- 4, - 6 ), then

vertex of g(x) = (- 4, - 6 + 3) = (- 4, - 3 )

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