(a) A line passes through the points (a,0) and (0,b). Find the Equation of the line. (b) Given that a line, L passing through the point (0,2) is perpendicular to the line 2y = 5x + 3, find the point of intersection of the line L with the line 2x = 3y - 5​

Answer:

24

Step-by-step explanation:

Hi hi ok so heres how you do this:

This is a right triangle cause of the lil' red angle indication.

So, we use Pythagorean theorem.

a^2+b^2=c^2

Now, we have a and c(or b and c. A and B are interchangeable)

10^2+b^2=26^2

100+b^2=676

676-100=576

Now, square root of 576 is 24.

the other leg is 24

Answer:

25 cm

Step-by-step explanation:

Using the Pythagorean Theorem (a^2+b^2=c^2 FOR RIGHT TRIANGLES ONLY), you see that 10^2+b^2=26^2, and the answer is b=25 cm.

BTW=10, 25, 26 is a pythagorean triple

Answer:

1 and 11/12

Step-by-step explanation:

1 1/4 + 4/6 = 1 1/12, therefore the landscaper has 1 and 1/12 pounds of plant food.

3 4/8 - 1 1/12 = 1 11/12, therefore the farmer needs 1 and 11/12 pounds of plant food.

Answer:

gill bought 20 pencils

Step-by-step explanation:

10 pencils in each pack × 2 packs = 20 pencils in total

Answer:

  4400 yards

Step-by-step explanation:

Many folks remember there are 5280 feet in a mile. Then 2.5 miles is ...

  (2.5 mi)(5280 ft/mi) = 13,200 ft

There are 3 feet in a yard, so the number of yards in 2.5 miles is ...

  (13,200 ft)/(3 ft/yd) = 4,400 yd

__

Of course, this is easier if you remember there are 1760 yards in a mile.

  (2.5 mi)(1760 yd/mi) = 4,400 yd

_____

Additional comment

In general, units conversion is accomplished using conversion factors that have a value of 1. That is, they are a fraction whose numerator and denominator are equal, but expressed in different units. The units of the conversion factor are chosen to cancel the units you don't want and leave a result in units you do want.

  [tex]2.5\text{ mi}\times\dfrac{5280\text{ ft}}{1\text{ mi}}\times\dfrac{1\text{ yd}}{3\text{ ft}}=\dfrac{2.5\times5280\text{ mi$\cdot$ft$\cdot$yd}}{3\text{ mi$\cdot$ft}}=\dfrac{13200}{3}\text{ yd=\boxed{4400\text{ yd}}}[/tex]

__

You might remember there are 1760 yards in a mile, because a typical high-school oblong running track is 440 yards, or 1/4 mile.

Answer:

[tex]4400\ yards[/tex]

Step-by-step explanation:

Step 1:  Convert miles to yards

[tex]1\ mile = 1760\ yards[/tex]

Since we know that 1 mile is equal to 1760 yards we can just multiply our 2.5 miles by 1760 which would cancel out miles and leave us with yards.

[tex]2.5\ miles * \frac{1760\ yards}{mile}[/tex]

[tex]4400\ yards[/tex]

Answer:  [tex]4400\ yards[/tex]

Answer:

D

Step-by-step explanation:

D shows the ray NY ->

Answer: 18 over x = -2x

Explanation:

Multiply all terms by the same value to eliminate fraction denominators,Cancel multiplied terms that are in the denominator and Re-order terms so constants are on the left,Combine exponents

Move terms to the left side

Rearrange terms

Common factor

Divide both sides of the equation by the same term

Use the quadratic formula

Simplify

Hope this helps (all the Steps to solve)

Answer:

D. 30cm

Step-by-step explanation:

Use the triangle and trapezoid formula and then you have the answer

Answer:

TW/UV=WX/UX
Two triangles are similar when all of their angles are equal & Ratio of side to side is equal when two triangles are similar.

Answer:I would say b or c, but I don’t have all the context

Step-by-step explanation:

you questioning me?

Answer:

The triangles are made up from the climbing dome divided

Step-by-step explanation:

Answer:

19 i think you add them

Step-by-step explanation:

The value of the constant of proportionality in the expression c=1.1 b is 1.1.

Given to us

The total cost, c, in dollars, of b bottles of water, is c = 1.1b.

The constant of proportionality is plugged into an expression when the proportionality is been removed from the expression.

As the total cost is dependent on the number of bottles that is been purchased, therefore,

[tex]\rm{ Total\ Cost \propto\ Number\ of\ bottles}[/tex]

Removing the proportionality, we will get,

[tex]c=kb[/tex]

where c is the total cost, b is the number of bottles,

Now compare the two equations,

c = kb

c = 1.1 b

Hence, the value of the constant of proportionality in the expression c=1.1 b is 1.1.

Learn more about Proportionality:

https://brainly.com/question/5837592

Answer:

ok i help you 11.28-99 is

Answer:

34.7 minutes

Step-by-step explanation:

56 minutes times 62% (0.62) = 34.72

To find the time that it will take for the ball to hit the ground we need to solve:

p(t) =  (-4.9 m/s^2)*t^2 + (15m/s)*t + 1m = 0m.

We should start by the easier part, which is acceleration.

The only force acting on the ball will be the gravitational force, this means that the acceleration of the ball is -9.8 m/s^2

a(t) = -9.8 m/s^2

To get the velocity, we integrate over time, and remember that the constant of integration is equal to the initial velocity, which we already know is equal to 15m/s.

v(t) = (-9.8 m/s^2)*t + 15m/s.

To get the position equation we integrate again, this time the constant of integration is the initial position, which is 1m.

p(t) = (1/2)(-9.8 m/s^2)*t^2 + (15m/s)*t + 1m

p(t) =  (-4.9 m/s^2)*t^2 + (15m/s)*t + 1m

The ball will hit the ground when the position is equal to zero, so we need to solve:

p(t) =  (-4.9 m/s^2)*t^2 + (15m/s)*t + 1m = 0m.

If you want to learn more about motion equations, you can read:

https://brainly.com/question/605631

Answer:

Step-by-step explanation:

Use two ordered pairs from the table to find the slope  of f(x):

Find the equation of f(x) using point-slope form:

The y-intercept is the value of y when x = 0:

Use two points on the graph and find the slope of g(x):

Find the required sum:

Answer:

45m/hr

Step-by-step explanation:

Divide 270 by 6 to determine the unit rate.

[tex] \frac{270}{6} = 45[/tex]

Therefore, the unit rate is 45 miles per 1 hour.

Answer:

x = 18

Step-by-step explanation:

Y = 90

Z = 25
X = 3x + 11

Triangle = 180

180 = 90 + 25 + (3x + 11) --> combine 90 and 25
180 = 115 + (3x + 11) --> minus 115 both sides
65 = 3x + 11 --> minus 11 both sides

54 = 3x --> divide 3 on both sides

x = 18

VERIFY:

3(18) + 11 = 54 + 11 = 65
65 + 90 + 25 =
155 + 25 = 180

Answer:

X = 18°

Step-by-step explanation:

As we can see it a right angled triangle

so <y =90°

Now

3x + 11° + 25° + 90° = 180°{being sum of angles of triangle}

3x + 126° = 180°

3x = 54°

X = 18°

Hope it will help you

Partial Answer:

For #10 the solutions are 2 and 5

Step-by-step explanation:

Solutions for an equation can be x-intercepts, or where it touches the x or horizontal line. The equation in #10 touches the x line at 2 and 5.

Answer:

G is the answer

Step-by-step explanation: 8*((40-16)/2)= 8*12 = 96, 6*((40-12)/2) = 6*14 = 84, and 96-84 = 12

Answer:

will remain the same

Step-by-step explanation:

Examples:

Your current exam mean is 97.2. If you receive a 99 on the next exam, this will have the effect of: increasing your mean

Your current exam mean is 93.2. If you receive a 87 on the next exam, this will have the effect of: decreasing your mean

Therefore, Your current exam mean is 95. If you receive a 95 on the next exam,this will have the effect of: Will remain the same

Answer:

Never true

Step-by-step explanation:

Distribute on both sides to check

[tex]3(x-5)\stackrel{?}{=}2(x-5)+x\\\\3x-15\stackrel{?}{=}2x-10+x\\\\3x-15\stackrel{?}{=}3x-10\\\\-15\stackrel{?}{=}-10\\\\-15\neq-10[/tex]

Therefore, since both sides aren't equal to each other, the answer is never true

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\textbf{QUESTION: Is 3(x - 5) = 2(x - 5) + x always true or}\\\large\textbf{never true?}[/tex]

[tex]\large\textsf{Equation \#1}[/tex]

[tex]\large\textbf{3(x - 5)}\\\\\large\text{DISTRIBUTE 3 WITHIN the PARENTHESES}\\\\\large\textbf{= 3(x) + 3(-5)}\\\\\large\textbf{= 3x - 15}\\\\\large\textbf{Thus, your answer is: 3x - 15}\leftarrow\large\text{ we have to see if equation \#2}\\\large\text{gives you the same answer/result as equation \#1. }[/tex]

[tex]\large\textsf{Equation \#2}[/tex]

[tex]\large\textbf{2(x - 5) + x}\\\\\large\text{DISTRIBUTE 2 WITHIN the PARENTHESES}\\\\\large\textbf{= 2(x) + 2(-5) + x}\\\\\large\textbf{= 2x - 10 + x}\\\\\large\textbf{= 2x - 10 + 1x}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\textbf{= 3x - 10}\\\\\large\textbf{Thus, your answer is: 3x - 10}\leftarrow\larget\text{from the looks of it equation}\\\large\text{\#2 \& equation \#1 are NOT equivalent to each other.}[/tex]

[tex]\huge\boxed{\mathsf{3x - 15 \neq 3x - 10}}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{never \ true}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

A)  1/15a + 5

Step-by-step explanation:

Let's start by finding a common denominator for the fractions: it's 15.

Multiply 2/3 by 5/5 and -3/5 by 3/3 to get the denominator of 15.

Now we have this: 10/15a - 9/15a + 6 - 1

Simplify like terms and you'll end up with 1/15a + 5

I assume you mean the mixed number 1 + 7/9.

As an improper fraction, we have

1   7/9 = 1 + 7/9 = 9/9 + 7/9 = (9 + 7)/9 = 16/9

Then the square root of this is

√(1   7/9) = √(16/9) = √(4²/3²) = √((4/3)²) = 4/3

Answer:

that is an equilateral triangle and if one side is 3.46 rounded it is 3.5

Step-by-step explanation:

3.5 because rounding found out by square root of 12

Answer:

x = 4[tex]\sqrt{3}[/tex] = 6.9

Step-by-step explanation:

if the large triangle is equilateral then each angle is 60°

but the altitude creates two smaller triangles that measure 30-60-90°

the ratio of sides, respectively, is 1 : [tex]\sqrt{2}[/tex] : 2

we can create a proportion to find 'x':

x/2 = [tex]\sqrt{12}[/tex]/1

cross-multiply:

x = 2[tex]\sqrt{12}[/tex]

since [tex]\sqrt{12}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]

so 'x' = 2·2[tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]

therefore, we can see that the side opposite the 30° angle is half the hypotenuse