In the straight line of gradient 3 and passes through the point (0,2), i. Write down the intercept. ii. Write down the equation,​

Answers

Answer 1

Answer:

Ans:

i) y-int (0 , 2) and x-int (-2/3 , 0)

ii) y = 3x + 2

Step-by-step explanation:

we know:

m = 3 & point (0,2)

i

y-int is (0,2) because where x is 0 it intersects the y-axis

ii

from this we can sub it into the point slope formula which is:

y - y1 = m (x - x1)          (y1 and x1 being the values from a point lying on the line)

y - 2 = 3 (x - 0)

y - 2 = 3x

y = 3x + 2     < this is the equation

if you also need to find the x-int then:

to find x-int make y = 0 and solve for x

y = 3x + 2                     3x = - 2

0 = 3x + 2                       x = -2/3

therefore x-int is (-2/3,0)


Related Questions

find the midpoint of the segment with the following endpoints (10,6) and (3,1)

Answers

Answer:

(6.5,3.5)

Step-by-step explanation:

To find the x coordinates of the midpoint, average the x coordinates of the endpoints

(10+3)/2 = 13/2 = 6.5

To find the y coordinates of the midpoint, average the y coordinates of the endpoints

(6+1)/2 = 7/2 = 3.5

(6.5,3.5)

Help me with this question for 10 points please

Answers

9514 1404 393

Answer:

  (a)  10 cm

Step-by-step explanation:

Since C is the midpoint of AB, the triangle shown is 1/4 of the rectangular area shown. When the tank is sitting horizontally on its 100 cm side, the water height will be 1/4 of the 40 cm height of the tank. It will be 10 cm.

__

More elaborate explanation

Triangle area = 1/2(AD)(AC) = 1/2(AD)(1/2(AB)) = 1/4(AD)(AB)

Whole tank area = (AD)(AB)

So, the triangle area is 1/4 the whole tank area. When the tank is tipped back to horizontal, the water area will still be 1/4 the whole tank area, so will be ...

  water area = (1/4(AD))(AB)

and the height will be 1/4(AD) = 1/4(40 cm) = 10 cm


Which of these expressions is equal to 6+ (2 + 3) * 5?
0 5 + 4X (5-6)
09x 5 + 1
5+
0 (4 x 5) + 3
0 1 + 10 x 3

Answers

5 + 4X (5 this is the answer 5 + 4X (5

20. simplify each of the following: see the above picture
and get 40 points

Answers

Answer:

[tex]i)14 + 4 \sqrt{6} [/tex]

[tex]ii) \sqrt{10} + 28[/tex]

[tex]iii) 243[/tex]

Step-by-step explanation:

[tex]i)(2 \sqrt{3} + \sqrt{2} {)}^{2} [/tex]

➡️ [tex]12 + 4 \sqrt{6} + 2[/tex]

➡️ [tex]14 + 4 \sqrt{6} [/tex] ✅

●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●

[tex]ii)(3 \sqrt{5} - \sqrt{2} ) \times ( \sqrt{2} + 2 \sqrt{5} )[/tex]

➡️ [tex]3 \sqrt{10} + 30 - 2 - 2 \sqrt{10} [/tex]

➡️ [tex] \sqrt{10} + 28[/tex] ✅

●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●

[tex]iii)3 \sqrt{81} \times 3 \sqrt{9} [/tex]

➡️ [tex]3 \times 9 \times 3 \times 3[/tex]

➡️ [tex]243[/tex] ✅

complete the table below?

Answers

ABC = $425

Load = 0

Total Cost = $425

Sales Price = $850

Sales price ÷ total cost = 850/425

= 2%

DEF = $600

Load = $375

Total Cost = $975

Sales Price = $1200

Sales Price ÷ Total cost = 1200/975

= 1% (Nearest 1%)

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Consider the graph below, and identify the piecewise function that describes it.

Answers

Answer:

f(x)=-x when x belongs to (-infinity, 3)

f(x)=-2 when x belongs to [3, 6]

f(x)=2x-7 when x belongs to (6, infinity)

Help meee I’ll give 10 pts and brainliest!!!

Answers

Step-by-step explanation:

i) [tex]\overline{AB} = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}[/tex]

[tex]\:\:\:\:\:\:\:=\sqrt{(2)^2 + (12)^2} = 12.3[/tex]

ii) [tex]m = \dfrac{y_A - y_B}{x_A - x_B} = \dfrac{-12}{2} = -6[/tex]

iii) [tex](\overline{x},\:\overline{y}) = \left(\dfrac{x_A + x_B}{2},\:\dfrac{y_A + y_B}{2}\right)[/tex]

[tex]\:\:\:\:\:\:\:=(3,\:-2)[/tex]

Solve for x.
–5(–2x – 5) – 2 – 1= -12

Answers

Answer:

x=-17/5

Step-by-step explanation:

–5(–2x – 5) – 2 – 1= -12

+10x+25-2-1=-12

10x+22=-12

10x=-12-22

10x=-34

x=-34/10

x=-17/5

Step-by-step explanation:

Open the brackets

10x +25 -2 - 1= -12

Collect the like terms

10x = -12-25+2+1

10x = -34

Divide both sides by 10

Therefore,x = -34/10 = -3.4

Factors and rewrite the expression 25x-15​

Answers

Answer:

5(5x-3)

Step-by-step explanation:

The common factor in this expression is 5 so divide 5 to all the values

25/5=5

-15/5= -3

Put these values into parenthesis and leave the 5 on the left side and out of the parenthesis

5(5x-3)

Answer:

5(5x - 3)

Step-by-step explanation:

The greatest common factor here is 5. Divide each term by 5 and simplify.

25x/5 = 5x

15/5 = 3

Therefore, the answer is 5(5x - 3).

X^2-9 can be factored using the formula

Answers

Answer:

a^2 - b^2 = (a-b)(a+b)

Step-by-step explanation:

x^2 -9

Rewriting as

x^2 - 3^2

We notice that this is the difference of squares

a^2 - b^2 = (a-b)(a+b)

x^2 - 3^2 = (x-3)(x+3)

Enter a formula in cell B10 to return the value of 35000 if the net profit after tax cell B9 is greater than or equal to 470000 or 100 if it is not

Answers

Answer:

I hope it help and I guess it is correct

please solve asap thanks ​

Answers

Answer:

A' (-2,3)

B' (-1,1)

C' (-4,0)

Step-by-step explanation:

Given coordinates:

A (3,0)

B (4,-2)

C (1,-3)

We want to find the location of the coordinates after a translation of <-5,3>

Explanation of translation

<-5,3>

Subtract 5 from the x value and add 3 to the y value

Applying translation

A (3,0) ---------> (3-5,0+3) ---------> (-2,3)

B (4,-2) ---------> (4-5,-2+3) ---------> (-1,1)

C (1,-3) ---------> (1-5,-3+3) ---------> (-4,0)

So the new coordinates would be

A' (-2,3)

B' (-1,1)

C' (-4,0)

How would x^3+8 be expressed in factored form

Answers

(x + 2) • (x^2 -2x + 4)

[tex]\it x^3+8=x^3+2^3=(x+2)(x^2-2x+4)\\ \\ \\ a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

Cj took a math test and got 36 correct and 9 incorrect answers. What was percentage of correct answers?

Answers

Answer:

Step-by-step explanation:

Your answer would be 80% or a B

An expression is shown below:

f(x) = −16x2 + 22x + 3

Part A: What are the x-intercepts of the graph of the f(x)? Show your work.

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.

Answers

Answer:

Part A:

0 = -16x^2 + 22x + 3

x intercepts = (-0.125, 0) and (1.5, 0)

Part B:

It's going to be a maximum. This is because, the graph opens to the bottom. The coordinates are approximately (0.69, 10.56).

Part C:

I would plug in various x values, then solve for the y value. Repeat the process, and get a good idea of the graph.

Hope this helps!

A building is 1 ft from an 8-ft fence that
surrounds the property. A worker wants
to wash a window in the building 11 ft
from the ground. He plans to place a
ladder over the fence so it rests against
the building. (See the figure.) He
decides he should place the ladder 8 ft
from the fence for stability. To the
nearest tenth of a foot, how long a
ladder will he need?

Answers

Answer:

This question is mainly about pythagorean theorm as if we just analyse this question we see the information given to us are

The height of the building = 11 ft The distance in between the fence and the building = 1 ftThe distance of ladder from the fence = 8 ft

Now it is said to find out the length of ladder as because the ladder is resting against the buiding so it will generally form an acute angle with the ground and as we can take the ladder to be as the hypotenuse of a right angled triangle in which the length of the perpendicular building forms one of the leg and the distance of the building from the point where the ladder is kept is said to be another leg

Now we get the measure of the vertical leg = height of the buiding = 11 ft

and another leg = distance in between the fence and the point on which the ladder is kept + the distance in between the fence and building

= (8+1)ft =9ft

Now we know hypotenuse = √base^2+√height^2

= √9^2+√11^2

= √81+√121

= √ 202

= 14.21 ft

Therefore the length of the ladder = 14.21 ft

Hope it helps you

The length of the ladder should be 11.1 feet long.

Let's denote the length of the ladder as L.

According to the given information:

The distance from the building to the fence = 1 ft.

The height of the window = 11 ft.

The distance from the ladder to the fence = 8 ft.

Using the Pythagorean theorem, we can set up the equation:

[tex]L^2 = (1^2) + (11^2)[/tex]

Simplifying:

[tex]L^2 = 1 + 121[/tex]

[tex]L^2 = 122[/tex]

Taking the square root of both sides:

[tex]L = \sqrt{122}[/tex]

[tex]L = 11.05 ft[/tex]

Therefore, the worker will need a ladder approximately 11.1 feet long.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ4

Select the choice that translates the following verbal phrase correctly to algebra:

8 times the total of x and 3

Answers

Answer:

The equation should be 8(x+3)

Answer:

a

Step-by-step explanation:

choose a expression that represents three less than seven times a number

Answers

7x-3

The seven times is 7x.
The three less than is the -3

Answer:

7x-3

Step-by-step explanation:

First write the 7 times a number

7x

Then subtract 3

7x-3

What is 3 x 10^6 in standard form?

Answers

Answer:

3000000

Step-by-step explanation:

3 * 10^6

10^6 means  move the decimal point 6 places to the right

3.  becomes

3000000

Answer:

3000000

Step-by-step explanation:

3 x 10^6

3 x 10 x 10 x 10 x 10 x 10 x 10

3 x 1000000

3000000

A new screening test for West Nile Virus is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. 300 subjects are screened at a clinic during the first year the new test is implemented. (Assume the true prevalence of West Nile Virus among clinic attendees is 10%.), The predictive value of a positive test is:

Answers

The predictive value of a positive test is is 0.43.

------------------

This question is solved using the concepts of sensitivity and specificity.

Sensitivity: It is the true negative rate, that is, the proportion of people without the disease that test negative.Specificity: It is the true positive rate, that is, the proportion of people with the disease that test positive.

------------------

Sensitivity of 60% means that of the 100 - 10 = 90% of people without the disease, 60% test negative and 100 - 60 = 40% test positive.Specificity of 70% means that of the 10% with the disease, 70% test positive.

------------------

The predictive value of a positive test is:

Probability of a positive test, which is 40% of 90% plus 70% of 10%, so:

[tex]p = 0.4\times0.9 + 0.7\times0.1 = 0.43[/tex]

The predictive value of a positive test is is 0.43.

A similar question is given at https://brainly.com/question/22373775

Rearrange the formula v= u + at to make a the subject​

Answers

Answer:

a= - u+v÷t

Step-by-step explanation:

v=u+at

Step 1: Flip the equation.

at+u=v

Step 2: Add -u to both sides.

at+u+−u=v+−u

at=−u+v

Step 3: Divide both sides by t.

at÷t=−u+v÷t

a=−u+v÷t

v = u + at

Now lets rearrange with ' a ' as subject

v = u + at

v - u = at

a = (v - u)/t

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Difference between 5429 and 5907 to the greatest place.

Answers

answer- u have to subtract the great no. from the smaller one

Given numbers are 5429 and 5907..

To find the difference we should subtract..

5907

- 5429

-------------

478

_______

#Answered by: Cutest Ghost

Which expression is equivalent to 3t-5+8t+3

Answers

Answer:

11t-2

Step-by-step explanation:

Add like terms: 3t+8t=11t -5+3=-2 11t-2

Answer: 11t-2

Step-by-step explanation:

First combine like terms

=3t-5+8t+3

= (3t+8t)-5+3

= 11t - 2

Therefore answer is 11t - 2

Must click thanks and mark brainliest

What is the corresponding index of the random matrix of 7 criteria for checking consistency of random judgment? Group of answer choices 0.58 1.45 1.32 .90

Answers

Corresponding Index is one which creates a random matrix index based on the values.

The random consistency index has values lesser than 1 therefore the value for the random matrix of 7 the consistency index will be 0.58.

Random Index maximum value will be 0 and its minimum value will be 0.01. The values will depend on the matrix consistency Index.

Learn more at https://brainly.com/question/24380035

find the range of the function f (x) = 2x + 5 for the domain 2,5,7

Answers

Answer:

The range is {9,15,19}  

Step-by-step explanation:

f (x) = 2x + 5

Let x = 2

f (2) = 2*2 + 5 = 4+5 = 9

Let x = 5

f (5) = 2*5 + 5 = 10+5 = 15

Let x = 7

f (7) = 2*7 + 5=14+5 = 19

The domain is {2,5,7}

The range is {9,15,19}  

Answer:

i think what you wrote is that the domain is 2 to 5.7.

so you plug in these two numbers inside the equation cause domain means the distance in the x axis so this is how it goes.

2(2) + 5 = 9

2(5.7) +5= 16.4

so the range is 9 to 16.4

hope that answers your question...

find the 11th termm of the arithmetic sequence with first term 3 and common difference -2

Answers

Answer:

-17

Step-by-step explanation:

a=3, d=-2

11th term= a + 10d

11th term= 3 + 10(-2)

= 3 + (-20)

= 3 - 20

= -17

Area of a triangle
A/12 = 12/12bh
solve for b ​

Answers

Step-by-step explanation:

I hope this works for ya.

The final price of the textbook for an English literature course is 13.5% more than the listed price when tax and shipping costs are included. If the listed price is $147, what is the final price of the textbook?

(Round to the nearest dollar.)

Answers

Answer:

The final price of the textbook rounded to the nearest dollar is $167

Step-by-step explanation:

To solve this problem, we need to find out what 13.5% of $147 equals.

13.5% = 0.135

0.135 x $147 = $19.845

$147 + 19.845 = 166.845

Round to the nearest dollar to get $167

is 9 bigger than -10

Answers

Answer:

9 is a positive number and -10 is negative. Positive numbers are bigger than negative numbers so yes 9 is bigger than -10

Step-by-step explanation:

Answer:

Yes it is

Step-by-step explanation:

here is how the numbers appear numerically

-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

What should you multiply the top equation by so that yis eliminated when the equations are added? | 3x – y = -2 15x + 2y = 15 A. 4 B. -2 C. 2 D. -1

Answers

Answer:

c. 2

Step-by-step explanation:

 2 (3x – y = -2)               6x - 2y = -4

6x - 2y = -4

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