Mathematics High School

The straight line 4x+5y-20 = 0 cuts the X-intercept, Y-intercept and hence find area of traingleAOB​

Answers

Answer 1

Answer:

The area of the triangle AOB is 10

Step-by-step explanation:

The line 4x+5y-20=0 forms a triangle AOB as shown in the figure below. The points A and B are the y-intercept and x-intercept respectively, and the point O is the origin.

To find the intercepts, we set the other variable to zero and solve the resulting equation.

Set x=0, the y-intercept is found as follows:

4(0)+5y-20=0

5y=20

y=20/5=4

The y-intercept is y=4

Set y=0, the x-intercept is now found:

4x+5(0)-20=0

4x=20

Solve:

x=20/4=5

The x-intercept is x=5

Now, knowing the base b and the height of the triangle h are 5 and 4 respectively, the area of the triangle is:

[tex]\displaystyle A=\frac{bh}{2}[/tex]

[tex]\displaystyle A=\frac{5\cdot 4}{2}=10[/tex]

The area of the triangle AOB is 10

The Straight Line 4x+5y-20 = 0 Cuts The X-intercept, Y-intercept And Hence Find Area Of TraingleAOB

Related Questions

HELP MATH HW URGENT!!!! I’ll give branliest to whoever can solve one at least!!

Answers

For the first one, it’s (-0.5 , 3)

Answer:

A. (-.5, 3)

B. y=-2x+2

C. y=-2x+7

Step-by-step explanation:

A. Midpoint formula, M=[tex]\frac{x_{1 }+x_{2}}{2} + \frac{y_{1 }+y_{2}}{2}[/tex]

B. Find the slope given Δy/Δx which just means change in y over change in x. -2-8/2-(-3) which is -10/2 which reduces to a slope of -2. Then use the point slope equation [tex]y- y_{1}=m(x-x_{1} )[/tex] where you fill in -3 for for x1 and 8 for y1. Solving for y gives you y=-2x+2

C. If a line is parallel to another line then they have the same slope, so the y=-2x part stays the same. What is different, though, is the y intercept. Luckily the y intercept is given in the problem, as the problem says the line passes through 0,7 so we know that this is the intercept. Thus, we know the equation is y=-2x+7

D. I'm not sure on this one, sorry. You can look up slope in ax+by+c=0 form though

Please helpppp pleaseee

Answers

Answer:

-5x⁹ y⁵

Step-by-step explanation:

x⁵y² ((-5x⁴)(y³)) = -5x⁹ y⁵

Answer:  x5y2(5x4y3) =5x9y5

Step-by-step explanation:

Find the solution set for this inequality:
-4(3x-5)<2(3x+4)

Answers

Answer: x> 2/3

Step-by-step explanation:

Answer:

x > 2/3 OR (2/3, ∞ )

this is My Home work and i don't know this one ​

Answers

Answer:

C

Step-by-step explanation:

Cuz the they are scared in the negative direction and theyre grouped around 4. Sry im bad at explaining things

Answer:

c. y = -x + 4

Step-by-step explanation:

Looking at the graph, the trend is decreasing as you move to the right, so you know that the slope has to be negative. Therefore (a) and (d) cannot be the answer since they both have positive slope.

You're only choice left is (b) and (c). (b) can't be the asnwer because averaging out the value at x=0 will give you a value greater than 3, therefore your y-intercept must be some number greater than 3. The only answer choice left is (c).

HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!

Answers

Answer: B 4,5

Step-by-step explanation:

f(x) = 2x - 6,

find f(10).

Answers

Answer:

14

Step-by-step explanation:

use the given functions to set up and simplify f (10).

v=u + at
u= 2
a= -5
te
Work out the value of v.

Answers

Answer:

Time taken=Velocity/acceleration

=2/5

=0.4

v=2-(-5×0.4)

=4

The value for v is 4

Answer:

v=u+at

so, u=2

a=-5

t=(not given/e)

so, v=2+(-5)(N.G/e)

v=2-5(N.G./e)

help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Hey!

so for the first one its 60°, and for the second one its 1/6

If x + 2y = 8, and x - y = 5, what is the value of x?

Answers

Answer:

x = 6

Step-by-step explanation:

Let's solve y for x + 2y = 8.

x + 2y = 8

2y = -x + 8

y = [tex]-\frac{1}{2}[/tex]x + 4.

Let's solve y for x - y = 5.

x - y = 5

y = x - 5

Since both equations have been solved for y, we can combine them together into one!

x - 5 = [tex]-\frac{1}{2}[/tex]x + 4

x [tex]+ \frac{1}{2}[/tex]x = 4 + 5

1.5x = 9

x = 6

Hope this helped! If not, please let me know!

carry out the multiplication of the expressions in each of the following pairs 4p,q+r​

Answers

Answer:

Step-by-step explanation:

4p ( q + r )

4pq +4pr

Hope this helps

plz mark as brainliest!!!!!!

by looking at the pattern , find the missing term​

Answers

Answer:

where the pattern??????

Answer:

where is the pattern

Step-by-step explanation:

The graph of h is a translation 6 units down and 2 units left of the graph of f(x)=x2−7x. For each value of x, g(x) is 115% of h(x). Write a rule for g

Answers

I’m just doing this for some points to ask questions but hey

Answer:

HELPPPPPP

Step-by-step explanation:

HELPPPPPPP

what is 2 to the second power

Answers

Answer:

4.

Step-by-step explanation:

Hope this helps! <3

help me solve b=3x+9xy

Answers

Are you sure that’s the question?

What’s the correct mathematical expression for 2 groups of z

Answers

Answer:

2z = 2 groups of z

Write an equation in standard form of the line that passes through (−6,−10) and has the slope m=16.

Answers

Answer:

Y=16x+86

Step-by-step explanation:

y = 16x + 86

Work;
Y - y1 = m (x - x1)
Y + 10 = 16 (x + 6)
Y + 10 = 16x + 96
Y = 16x + 86

can someone plz help me with dos plz​

Answers

Answer:

44,62, and where is E

Step-by-step explanation:

Part (i)

Angle DBA = 44

--------

Reason:

Angle CBA is a right angle (thales theorem), so angle DBA must add to DBC to get 90 degrees. In other words, we solve x+46 = 90 to get x = 44.

============================================================

Part (ii)

Angle DAC = 46

--------

Reason:

Both inscribed angles DAC and DBC subtend the same arc (minor arc DC), so the inscribed angles are congruent.

============================================================

Part (iii)

Angle BCE = 74

--------

Reason:

Angle BDC is 28 degrees since angle BAC is also 28 degrees (similar reasoning as part ii above). Let y = angle BCD

Focus on triangle BCD. The three interior angles add to 180

B+C+D = 180

46+y+28 = 180

y+74 = 180

y = 180-74

y = 106

Then subtract 180 from this to get the exterior angle BCE

angle BCE = 180-(angle BCD)

angle BCE = 180-y

angle BCE = 74

Or as a shortcut, you could use the remote interior angle theorem

angle BCE = (angle BDC) + (angle DBC)

angle BCE = (28) + (46)

angle BCE = 74

i will mark you as brainliest please help!!

Answers

Answer:

i think its the one on the right

Step-by-step explanation:

3^100 dan 10^50 lebih besar mana? ​

Answers

Answer:

The bigger is 10 to the power of 50 or 10^50

Step-by-step explanation:

3 to the power of 100 = 3100 = 51537752 0732011331 0364611297 6562127270 2107522001. = place digits is 50

10 to the power of 50 = 1050 = 1 0000000000 0000000000 0000000000 0000000000 0000000000. = place digits is 51

Ok one quiestion Where do you think I live! 44 points if correct

Answers

Answer:

In America on the west coast

Step-by-step explanation:

umm lol maybe Texas ?

Need help ASAP!!!!!!!

Which pair of numbers has an LCM of 60?
a. 2 and 12
b.5 and 12
c.6 and 12
d.3 and 12


Pls answer ASAP

Answers

Answer: 5 and 12

Step-by-step explanation:

i did the quiz

Which situations accurately describe a ratio of ? Select all that apply.

Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces.
Tobias picked five daisies and eight roses.
Aly painted eight trees for every three birds.
For every eight shots, Micah made five baskets.
Please help :/

Answers

If the ratio is 5/8, or 8/5

Tobias picked five daisies and eight roses.

For every eight shots, Micah made five baskets.

If the ratio is 5/13, or 13/5

Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces.

If the ratio is 8/3, or 3/8

Aly painted eight trees for every three birds.

what is the equation of the line that contains the points (3,5) and (7,9)​

Answers

Answer:

y=x+2

Step-by-step explanation:

The required equation of line will be y = x + 2.

It is given that a line contains points (3,5) and (4,9).

We have to find out the equation of the line.

What is the general equation of a line ?

The equation of a line is y = mx + c.

As per the question line contains points ;  

(x1,y1) = (3,5) and (x2,y2) = (7,9) .

Using these points, firstly , we need to find the value of m  ;

∵ m = ( y2-y1) / (x2-x1)

   m = ( 9-5) / (7-3)

   m = 4 / 4

   m = 1

We now need to find out the value of c.

Since , (7,9) is on the line this meant this meant value of c is 2.

Putting the value of m and c in general equation of line i.e., y= mx + c

y = 1 × x + 2

y= x + 2

To learn more , about general equation of line click here ,

brainly.com/question/4227212

#SPJ6

Please solve that problem my homework is due ✨

Answers

Answer:

1,100 miles traveled in 2 hours, 3,300 miles in 6 hours

Step-by-step explanation:

if the plane is moving at a constant speed, to find the miles per hour divide the distance traveled over the time (1650/3). this would get you 550 miles per hour. So, to get the distances at the other times multiply the times by the speed to get distance traveled. (2*550) and (6*550)

Evaluate:
(-4) (3)
Easy come up for anyone who needs an easy 10 points

Answers

Answer:

-12

Step-by-step explanation:

Answer: (-4)(3)= -12

3 consecutive even integers that add up to 36

Answers

Answer:

10, 12, 14

Step-by-step explanation:

Answer:

10,12 and 14

Step-by-step explanation:

Hope that helps <3

Exsplain the errors

Answers

Step-by-step explanation:

Hi, the mistake was in the calculation of the second line to the third line.

    7-3[tex]x[/tex]+4[tex]y[/tex]

=7 - 3(-4) + 4(2)

=7 - (-12) + 8

=7 +12 + 8

=19+ 8

=27

1)which set of points is a function?
2)which order pears cause this relations not to be a function. why?​

Answers

Answer:

First Question is B

Second Question is C

Step-by-step explanation:

You can’t have the same x values going to different y values

Find the slope of the line that passes through the points (2,6 ) and ( 4 , 12)

Answers

Answer:

3

Step-by-step explanation:

slope is rise over run. to find the rise subtract the second y value from the first. 12-6=6. Now let’s find the run. subtract the second x value from the first. 4-2=2. now the answer is 6/2=3 the slope of this line would be 3.

I’ll give brainliest

Answers

The answer is 3x + 2y = 8
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