Line q goes through points (-3, 3) and (-5, -3)at what point does line q cross the y-axis?

Answers

Answer 1

Answer: At point (0,12)  line q cross the y-axis.

Step-by-step explanation:

Equation of a line passing through (a,b) and (c,d) :

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Given: Line q goes through points (-3, 3) and (-5, -3).

Equation of line q:

[tex](y-3)=\dfrac{-3-3}{-5(-(-3)}(x-(-3))\\\\\Rightarrow\ (y-3)=\dfrac{-6}{-5+3}(x+3)\\\\\Rightarrow\ (y-3)=\dfrac{-6}{-2}(x+3)\\\\\Rightarrow\ y-3=3(x+3)[/tex]

When line crosses y-axis , x=0 .

So,

[tex]y-3=3(3)\\\\\Rightarrow\ y-3=9\\\\\Rightarrow\ y=9+3\\\\\Rightarrow\ y=12[/tex]

Hence, At point (0,12)  line q cross the y-axis.


Related Questions

Where is the blue dot on the number line?

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Answer:

6.2

Step-by-step explanation:

ahmm recommend answer lang

Answer:

6.8

Step-by-step explanation:

hope this helped! :)

Karly got a 74% on her Social Studies test. The test had 50

questions. How many questions did she NOT answer

correctly?

ann

Answers

She answered 37 questions incorrectly

Simplify
3-6 x
(34
.
3º)2
3-6
3-2
30

Answers

Answer:

5

Step-by-step i did the math

Answer:

3 to the power of 0

What is a formula for the nth term of the given sequence?
-11, -9, -7...

Answers

If a1 is the first term of an arithmetic sequence and d is the common difference, then the formula for finding thenthtermofthesequenceisan =a1+(n−1)d.
Wehavebeengivena1 =5andd=15. We’reaskedtofindn=40.
an =a1 +(n−1)d a40 = 5+(40−1)·15
= 5+39·15 = 590
The 40th term of this sequence is 590.

Little billy wants to buy a pineapple upside down came. The cakes are 2 days old so they are 70% off! The original price is $20. What is the sale price

Answers

Answer:

$6

Step-by-step explanation:

Original price of the pineapple = $20

Percentage off = 70%

Amount discounted = 70% of $20

Amount discounted  = 0.7 * 20

Amount discounted  = $14

Sale price = Original price - Discount

Sale price = $20 - $14

Sale price = $6

Hence the sale price was $6

Write 25x10^6 in standard form

Answers

Answer:

2.5 x 10^7

Step-by-step explanation:

Answer:

26000000

Step-by-step explanation:

The decimal point would be at 26.000000 so u want to count 6 --> that way

HELP!GIVING BRAINLIEST!!

Answers

Answer:

2x+4

Step-by-step explanation:

A man sold a fan for Rs. 400. Find the cost price if he incurred a loss of 15%.

Answers

Answer:

Cost price of the fan is [tex]\text {Rs. 470.59}[/tex].

Step-by-step explanation:

Given: A man sold a fan for  [tex]\text{Rs.}\:400[/tex]. He incurred a loss of [tex]15\%[/tex].

To find: The cost price of the fan

Solution:

We have,

Selling price, S.P.,  of the fan [tex]= \text{Rs.} 400[/tex]

Loss [tex]=15\%[/tex]

We know that [tex]\text {Loss\%}=\frac{\text{C.P.-S.P.}}{\text{C.P.}}\times100\%[/tex]

Now let the C.P. of the fan be [tex]\text{Rs.} \:x[/tex]

So, [tex]15=(\frac{x-400}{x})\times 100[/tex]

[tex]\implies 15x=100x-40000[/tex]

[tex]\implies 100x-15x=40000[/tex]

[tex]\implies 85x=40000[/tex]

[tex]\implies x=\frac{40000}{85}[/tex]

[tex]\implies x= 470.59[/tex]

Hence, the cost price of the fan is [tex]\text {Rs. 470.59}[/tex].

I need help pls really fast fue in 10 minutes

Answers

It is 2
The slope intercept form is y = Mx+ b where m is the slope and b is the y
It is 2 hope this helps

Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below.

(3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2)

= 3y2 – 12y2

= –9y2

Is the student’s work correct?

Answers

Answer: No the students work is not correct. Because you are using distribution. Which means that 3 has to multiply the y2 and 2 not just the y2! And after you distribute it you need to simplify!

Step-by-step explanation:

Answer:

(3 – 6y²)(y² + 2) = - 6y⁴ - 9y² + 6

Step-by-step explanation:

Given the expression

3-6y² and y²+2

We have to find the product of 3-6y² and y²+2

Clara's Solution:

(3 – 6y²)(y² + 2) = 3(y²) + (–6y²)(2)

                          = 3y² – 12y²

                          = -9y²

NO!

The student's work is INCORRECT!

Clara did not imply the correct distribution of multiplying the terms in the first step.

Here is the correct solution:

(3 – 6y²)(y² + 2) = 3(y²) + (–6y²)(2) + (3)(2) + (–6y²)(y²)

                          = 3y² – 12y² + 6 - 6y⁴

                           = - 6y⁴ - 9y² + 6

Therefore,

(3 – 6y²)(y² + 2) = - 6y⁴ - 9y² + 6

There is a new student in class and you have been asked to teach them everything you know about coordinate planes. **Write at least 3-5 complete sentences explaining coordinate planes.** Remember to include vocabulary, how to remember which coordinate goes first in an ordered pair, and how to plot points on the grid.There is a new student in class and you have been asked to teach them everything you know about coordinate planes. **Write at least 3-5 complete sentences explaining coordinate planes.** Remember to include vocabulary, how to remember which coordinate goes first in an ordered pair, and how to plot points on the grid.There is a new student in class and you have been asked to teach them everything you know about coordinate planes. **Write at least 3-5 complete sentences explaining coordinate planes.** Remember to include vocabulary, how to remember which coordinate goes first in an ordered pair, and how to plot points on the grid.




PLZZZZZZ HELP ME

Answers

Step-by-step explanation:

The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis. The two axes meet at a point called the origin. We can use the coordinate plane to graph points, lines

I GIVE BRAINIEST

Can someone help me with this pls

Answers

Answer:

A. moving forward for 10m at a steady pace of 2m/s

B. moving backwards 8m at a steady pace of 2.67m/s

C. staying in the same spot for 4 seconds

D. moving 9m at a steady pace of 4.5m/s

E. moving 4.5m with an average pace of 1.5m/s

Help me with this question pls

Answers

B is 61° bc it’s a vertical angle to the one with a measure of 61°
C is 46° bc it’s a vertical angle to the one with a measure of 46°
Angles A and D are 73° bc half of a circle is 180° and if you add up the 2 angles you already have the remaining value is 73° and they are the same measure bc they are vertical angles

A quadratic function has one root at 5 and has a vertex point at (7, 2).
What is the value of “a”?

Answers

ExplanationVertex Form

[tex]y = a {(x - h)}^{2} + k[/tex]

where a-term determines the shape of graph.

h-term determines the change of graph for x-axis.

k-term determines the change of graph for y-axis.

Vertex of the graph is at (h,k).

Substitute the vertex value in the equation.

[tex]y = a {(x - 7)}^{2} + 2[/tex]

We need to find the value of a-term. We have the given root which we can substitute in the equation.

Also the roots are on x-axis, meaning that the y-value for roots must be 0.

Substitute (5,0) in the equation.

[tex]0 =a {(5 - 7)}^{2} + 2 \\ 0 =a {( - 2)} ^{2} + 2 \\ 0 = 4a + 2[/tex]

Solve for a-term.

[tex]4a + 2 = 0 \\ 4a = - 2 \\ a = \frac{ - 2}{4} \\ a = - \frac{1}{2} [/tex]

Therefore the value of a is - 1/2. Rewrite the equation as we get the answer.

Answer

[tex] \large \boxed{y = - \frac{1}{2} {(x - 7)}^{2} + 2}[/tex]


What is the domain of this function?
(8,8)
(2, 19)
(0,9)
(-12, 19)

Answers

Answer:

The domain is -12, 0, 2, 8.

Step-by-step explanation:

The domain is the set of all possible x-values. The x-values are the first numbers in a point.

Need help with this question there's a picture below.

Answers

Answer:

The Answer is A

Step-by-step explanation:

The answer is A because there are 2 x’s when there only needs to be and can be 1. I hope this helps! :)

Find the missing terms 14.5_,_,18.4

Answers

The first term is a which is equal to 14.5

The 4th term is a + 3d = 18.4

We know what a is so we can substitute it into the above equation...

14.5 + 3d = 18.4

3d = 3.9

d = 1.3

So the common difference is 1.3... now you just have to add that to the first term so...

14.5 + 1.3 = 15.8 (2nd term)

15.8 + 1.3 = 17.1 (3rd term)

Hope this helps! Any questions let me know:)

The figure below depicts a triangle formed by the labeled
vertices. If each vertex point of the triangle is multiplied
by what would be the area of the resulting triangle?
(Triangles, Book 2)
(3, 3)
0.0)
09
0 13.5
0 15
18
O 27

Answers

9514 1404 393

Answer:

  (b)  13.5

Step-by-step explanation:

The upper vertex would be ...

  3/2(3, 3) = (4.5, 4.5)

and the right vertex would be ...

  3/2(4, 0) = (6, 0).

The base of the larger triangle would be 6, and its height would be 4.5. Then the area is ...

  A = (1/2)bh

  A = (1/2)(6)(4.5) = 13.5 . . . area of dilated triangle

Danny charges 30$ for 3 hours of swimming lessons martin charges 55$ for 5 hours of swimming lessons which deal is better

Answers

Answer:

Danny

Step-by-step explanation:

Danny charges $10 an hour

Martin charges $11 an hour

PLZ HELP ASAP!!!!!!!!

Answers

Answer: 3:2

Step-by-step explanation:

the base ratio of unused tape to used tape is 24:16.

then we have to simplify,

both 16 and 24 can be divided by eight,

24 divided by eight is 3

16 divided by eight is 2

therefore, our simlpified ratio is 3:2

hope this helped! <3

A class trip is planned for a cinema visit.
1/4 of the people walk to it.

1/3 of the people, get the bus.

The remaining 60 people get a lift in a car.

Calculate the number of pupils who get the bus and who walk to the cinema.

Answers

Answer: 48 pupils get the bus to the cinema and 36 pupils walk to the cinema.

Step-by-step explanation:

Let's suppose that there are a total of N pupils.

We know that N/4 walk to the cinema.

We know that N/3 get the bus to the cinema.

And the remainder is equal to 60 people.

Then:

N - N/4 - N/3 = 60

N*(1 - 1/4 - 1/3) = 60

N( 12/12 - 3/12 - 4/12) = 60

N*( 5/12) = 60

N = (12/5)*60 = 144

Then the number of pupils that walk to the cinema is N/4, or:

144/4 = 36

And the number of pupils that get the bus is N/3, or:

144/3 = 48.

5. x2 +5x-4
Discriminate

Answers

Answer:

D = 41

Step-by-step explanation:

y = ax² + bx + c

The discriminant D = b² - 4ac tells the types of roots the equation has.

If D < 0 , then quadratic equation has no real roots, has two imaginary roots.

If D = 0 , then quadratic equation has one real root.

If D > 0 , then quadratic equation has two distinct real roots.

~~~~~~~~~~~~

x² + 5x - 4

a = 1, b = 5, c = - 4

D = 5² - 4(1)(- 4) = 25 + 16 = 41

plz help asap i will give you brainlist

Answers

7x7= 49 + 4 = 53 i think bc the 8^0 is just zero

PLEASE HELP!!!
I NEED THIS ASAP

Answers

Answer:

d. 132

Step-by-step explanation:

12 + 8 x 15

do 8 x 15 first because PEMDAS

12 + 120

132

ANSWER ASAP PLS!!!!!
What value(s) of x will make x2 = 81 true?
A.3
B. 9 and −9
C. 40.5 and −40.5
D. 9

Answers

B.) 9 and -9
9^2=81 and 9^2=81

A person follows the recipe proportions and uses 14 cups of baking soda. Exactly how many quarts of white vinegar will the person use?​

Answers

Um more info you can pot it in the comments all of it

Answer:

Step-by-step explanation:

Please help me if you get it

Answers

Answer:

4 sqrt 2

Step-by-step explanation:

Answer:

4 sqrt(2)

Step-by-step explanation:

This is a special triangle 45, 45, 90 therefore you just multiply the sides by sqrt(2) to find the hypotenuse so it will be 4 sqrt(2)

Another way to do it is by Pythagorean triangle which will still lead to 4 sqrt(2)

canden buys 3.9 pounds of grapes that cost 1.80 per pound . Which expression can be used to find the total cost of the grapes

Answers

Answer:

3.9 x $1.80

Step-by-step explanation:

3.9 x $1.80

help plz and have a good day

Answers

6+3= 9.

you input the given value for X.

An airplane descends 1.5 miles to an elevation of 6.05.Find the elevation of the plane befor its descent the intial elevation of the plane was blank miles

Answers

Answer:

7.55 miles

Step-by-step explanation:

Given that :

Distance of descent = 1.5 miles

New elevation point after descent = 6.05 miles

The initial elevation of the plane before descent will be :

New elevation point after descent + Distance of descent

(6.05 miles + 1.5 miles)

= 7.55 miles

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