Mathematics High School

Graph the triangle with the given vertices. Find the length of the hypotenuse of the triangle. Assume a is a positive number.

X(0,0)

Y(a,2)

Z(a,0)

Answers

Answer 1

X(0,0)Y(a,2)

[tex]\\ \sf\longmapsto XY=\sqrt{x^2+y^2}[/tex]

[tex]\\ \sf\longmapsto XY=\sqrt{a^2+2^2}[/tex]

[tex]\\ \sf\longmapsto XY=\sqrt{a^2+4}[/tex]

[tex]\\ \sf\longmapsto XY=2+a[/tex]

Graph The Triangle With The Given Vertices. Find The Length Of The Hypotenuse Of The Triangle. Assume

Related Questions

Ryan earned $2400 a month. He recieved a raise, which increased his monthly pay to $2700. Did Ryan's pay increase or decrease? By how much?

Answers

Answer:

Ryan's pay increased by $300.

Step-by-step explanation:

Answer:

His pay increased by $300

Step-by-step explanation:

2,700-2,400

=300

Find the time it takes for a rocket following the path, h(x) = -2x2 + 18, to hit the ground. 2 sec 3 sec 8 sec 9 sec

Answers

The time it takes for a rocket to hit the ground is 3 seconds

Step-by-step explanation:

We are given equation for height as

where

x is the time in seconds

When object hits the ground

then height becomes 0

so, we can set h(x)=0

and then we can solve for x

Subtract both sides by 18

So,

the time it takes for a rocket to hit the ground is 3 seconds

Find the integer value of x that satisfies both the inequalities
x + 5 > 8 and 2x - 3<7 il edmun er

Answers

The answer is x = 4 as it satisfies both inequalities :)

Answer:

x = 4 is the solution

Step-by-step explanation:

Solving the inequalities

x + 5 > 8 ( subtract 5 from both sides )

x > 3

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

2x - 3 < 7 ( add 3 to both sides )

2x < 10 ( divide both sides by 2 )

x < 5

The only integer value of x > 3 and < 5 is 4

Please help- It's due this week.
100x + 150y = 3,050
x + y = 23
Graph the system of equations and plot the intersection point

Answers

(x,y)= (68.939,-45.939)

HELP PLEASE AHH I WILL GIVE BRAINLIEST

Answers

Answer:

140 Minutes

Step-by-step explanation:

Y = 0.125x ---> Corinne every 1 minute

Y = 3.5 + .1x ----> Aretha

0.125x = 3.5 + .1x

-.1x - .1x

0.025x = 3.5

0.025x/.025 = 3.5/.025

x = 140 minutes

find the slope and y intercept

(0,1) and (2,-3)

whats the slope M=

whats the y intercept b=

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

Y2 - Y1 / X2 - X1

-3 - 1 / 2 - 0

-4 / 2

= -2

y = -2x + b

-3 = -2(2) + b

-3 = -4 + b

1 = b

y = -2x + 1

the coordinates of the point of intersection of lines px + y = 3 and x + 2y = q are (2, -3). find the value of p and q

Answers

Answer:

p = 3 and q = - 4

Step-by-step explanation:

Substitute the coordinates of the solution (2, - 3 ) into the equations and solve for p and q

px + y = 3 , then

2p - 3 = 3 ( add 3 to both sides )

2p = 6 ( divide both sides by 2 )

p = 3

and

x + 2y = q , then

2 + 2(- 3) = q

2 - 6 = q , so

q = - 4

solve pls brainliest

Answers

Answer:

$18.15

Step-by-step explanation:

45% of $33 = $14.85

$33 - $14.85 = $18.15

Find x. please help me!!

Answers

Answer:

I want to say B.

Step-by-step explanation:

PLEASE HELP (especially on B)

Any 3 T-shirts for $14.50
$3.99
$6.99
$5.99
A) Tom bought these three T-shirts at the sale price of $14.50. How much money did he save compared
to the original total price of the T-shirts?
B) What percentage of the total price did Tom save?

Answers

He saved 10.59 bucks

The sum of the ages of a woman and her
son is 64 years. In 4 years time the woman
will be three and half times as old as her
son. How old were they three years ago?

Answers

Step-by-step explanation:

sorry for my ugly handwriting, hope it helps

20 decreased by the product of 5 and a number x

Answers

20 - 5x should be correct

What’s the answer to 2(x+3)

Answers

Hello there!

This isn't an equation, but here are some options for what you may be looking for!

Product, Multiplying, Evaluating, and Simplified Form: 2x + 6

Factor: 2(x+3)

Hope I helped,

Brainliest is always appreciated.

Happy Holidays.

Is - 1/2 equivalent to 1/-2

Answers

YES

- 1/2 is equivalent to 1/-2

The detailed answer is in the image attached.

Hope it helps you.....

Please mark as Brainlliest!!!

What is the value of x

Answers

Answer:

Step-by-step explanation:

(3x +3) + (5x-2) + (3x+3) =180

3x +3 + 5x-2 + 3x+3 =180

11x +4=180

11x =180-4

11x=176

x=176/11

x= 16

Are the ratios 2:3 and 8:12 equivalent? Justify you answer.

Answers

Answer:Yes

Step-by-step explanation:You are multiplying the ratios by 4

What will be the height of the triangle, if its area is 105 m 2 and the base is 15 m?

Answers

Answer:

14 m

Step-by-step explanation:

Given,

Area of the triangle

[tex] = {105m}^{2} [/tex]

Base of the triangle

= 15m

Let,

Height of the the triangle be h

Therefore,

By the problem,

[tex] = > \frac{1}{2} \times base \times height = 105[/tex]

(On putting values)

[tex] = > \frac{1}{2} \times 15 \times h = 105[/tex]

(On putting the known values on one side)

[tex] = > h = \frac{105 \times 2}{15} [/tex]

(On Simplification)

=> h = 7 × 2

(On multiplying)

=> h = 14m

Hence,

The req. height of the triangle is 14 m (Ans)

Answer:

The answer is 14 m.

Step-by-step explanation:

Area = [tex]105^{2}[/tex]

Base = 15 m.

Height = ?

The formula for finding the area of triangle is

[tex]A = \frac{h_{b}b}{2}[/tex]

Put the values in the formula

[tex]105 = \frac{h_{b}15 }{2}[/tex]

Use MPE or Multiplication Property of Equality

210 = 15[tex]h_{b}[/tex]

Now use DPE or Division Property of Equality

[tex]\frac{210}{15} = \frac{15_{hb} }{15}[/tex]

14 = [tex]h_{b}[/tex]

The height of the triangle is 14 m.

To check, multiply the height and base to get the area.

14 * 15 = 105 [tex]m^{2}[/tex]

can someone help me please

Answers

Answer:

3: 55 degrees

4: 128 degrees

Step-by-step explanation:

A straight line is 180 degrees and so you do 180-125 to get 55 degrees

180-58 is 128 degrees

Which of the following sets here the closure property w.r.t. Addition
(A) {0}
(B) {0, -1)
(C) (0, 1)
)
(D) {1,V3.

Answers

Answer:

the answer is number 1 make my answer brainlist answer

Which graph is a quadratic graph? A. graph A B. graph B C. graph C D. graph D

Answers

Answer:

graph ab

Step-by-step explanation:

Answer: A. Graph A

Step-by-step explanation:I just did it and got it right...

Help me with this question please!! Show all work

Answers

The answer is 439.

3+(1/(7+1/15) = 333/106

333+ 106 = 439.

It took 5 days for a committee of 7 pupils to clean the auditorium for the school program. How many days would have taken the committe of 10 pupils to do the same work?

Answers

Answer:

3.5 days

Step-by-step explanation:

If it takes 7 pupils 5 days, then it would take 1 pupil 7 times as long, or 35 days.

1 pupil alone cleans the auditorium is 35 days.

10 pupils work 10 times faster than 1 pupil, so 10 pupils take 3.5 days.

(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)

Answers

Answer:

5.39

Step-by-step explanation:

To find the third side (let's call it x) you plug the side lengths given into the Pythagorean theorem to get:

5² + 2² = x²

Which, simplified, is:

25 + 4 = x²

And to get x, you do:

x=√(29)

So, if you want it to the nearest hundredth, it is 5.39.

square root of 29.00

Step-by-step explanation:

5square +2square=29 to the nearest hundredth 29.00 .but there is no square root of 29

Find the slope of the line y=-1/4x+1

Answers

Answer:

slope is -1/4 the number before the x is the slope

Step-by-step explanation:

Answer:

The slope is -1/4

Step-by-step explanation:

The equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -1/4x +1

The slope is -1/4 and the y intercept is 1

miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following

roots of the quadratic 3
discriminant
nature of roots
sum of the roots
product of the roots

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

roots of the quadratic equation ~

[tex]2 \: \: \: \:a nd \: \: - 10[/tex]

discriminant ~

[tex]144[/tex]

nature of roots ~

[tex]real[/tex]

sum of the roots ~

[tex] - 8[/tex]

product of the roots ~

[tex] - 20[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve he given quadratic equation using quadratic formula ~

Let's consider the following values ~

b (Coefficient of x) = 8

a (Coefficient of x²) = 1

c (Constant term) = -20

According to quadratic formula, the roots are ~

[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac } }{2a} [/tex]

where, ( b² - 4ac ) is known as it's discriminant ~

that is equal to ~

[tex](8) {}^{2} - (4 \times 1 \times - 20)[/tex]

[tex]64 - ( - 80)[/tex]

[tex]64 + 80[/tex]

[tex]144[/tex]

Hence, Discriminant = 144

And since discriminant is positive, then the roots of the quadratic polynomial are real .

Let's find the roots now ~

[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

[tex] \dfrac{ - 8 \pm \sqrt{144} }{2 \times 1}[/tex]

[tex] \dfrac{ - 8 \pm12}{2} [/tex]

[tex] \dfrac{ 2( - 4 \pm6)}{2} [/tex]

[tex] - 4 \pm6[/tex]

So, the two roots are ~

[tex] - 4 + 6[/tex]

[tex]2[/tex]

and

[tex] - 4 - 6[/tex]

[tex] - 10[/tex]

Sum of roots ~

[tex] - 10 + 2[/tex]

[tex] -8[/tex]

product of roots ~

[tex] - 10 \times 2[/tex]

[tex] - 20[/tex]

Yes this can be correct just depends on if you do it

prove that: (sinθ/1+cosθ) + (1+cosθ/sinθ) = 2cosecθ
[tex] \: prove \: that: \frac{ sinθ}{1+cosθ}+ \frac{1+cosθ}{sinθ} = 2 \: cosec \: θ [/tex]

Answers

Consider LHS

(sinθ/1+cosθ) + (1+cosθ/sinθ) =

= [sinθ(sinθ)+(1+cosθ)+(1+cosθ)]/[(1+cosθ)(sinθ)]

= [sin²θ+(1+cosθ)²]/[(1+cosθ)sinθ]

= [sin²θ+1+cos²θ+2cosθ]/[(1+cosθ)sinθ]

[°.° (a+b)² = a²+2ab+b²]

Here, a = 1, b = cosθ

= [(sin²θ+cos²θ)+1+2cosθ]/[(1+cosθ)sinθ]

= [1+1+2cosθ]/[(1+cosθ)sinθ]

[°.° sin²θ+cos²θ = 1]

= [2+2cosθ]/[1+cosθ)sinθ]

= [2(1+cosθ)]/[(1+cosθ)sinθ]

= 2/(sinθ)

[°.° 2/sinθ = cosecθ]

= 2cosecθ = RHS.

Hence, Proved.

Read more:

Answers

Answer:

A = 8a + [tex]\frac{1}{2}[/tex]πa²

Step-by-step explanation:

The figure consists of a rectangle and a semi- circle

area of rectangle = 4 × 2a = 8a

area of semi- circle = [tex]\frac{1}{2}[/tex]πr² ( r is the radius = a )

= [tex]\frac{1}{2}[/tex]πa²

Then area (A ) of figure is

A = 8a + [tex]\frac{1}{2}[/tex]πa² ← factor out [tex]\frac{1}{2}[/tex] a from each term

= [tex]\frac{1}{2}[/tex] a(16 + aπ)

Identify the shapes in the picture

Answers

Answer:

we're are the images pls

If the area of a rectangle is x^2+5x+6, and x represents 15 cm, what is the perimeter of the rectangle?

Answers

Answer:

To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'.

Step-by-step explanation:

Pls help me I have to do my other work. Also this detects if it’s right or wrong:(

Answers

Umm Help with what..

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Graph the triangle with the given vertices. Find the length of the hypotenuse of the triangle. Assume a is a positive number. X(0,0) Y(a,2) Z(a,0)

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Graph the triangle with the given vertices. Find the length of the hypotenuse of the triangle. Assume a is a positive number.

X(0,0)

Y(a,2)

Z(a,0)