if a right triangle has one side measuring 4 and another side measuring 6, what is the length of the hypotenuse

Answer:

(4x+1)²

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

To write an equation of a line using a point and slope use the formula

where

m is the slope

(x1 , y1) is the point

So we have

Equation of the line using point (4 , -3) and slope 5/4 is

[tex]y + 3 = \frac{5}{4} (x - 4)[/tex]

Multiply through by 4

4y + 12 = 5(x - 4)

4y + 12 = 5x - 20

5x - 4y = 20 + 12

The final answer is

Hope this helps you

Answer:

3 hours and 27 minutes

Step-by-step explanation:

2:05 pm = 14:05 hours

1 hour = 60 minutes

14:05 = 13 hours + 60 minutes + 5 minutes = 13 hours + 65 minutes

then:

 13h  65m

- 10h  38m

=  3h  27m

they drive:

3 hours and 27 minutes

Answer:

5/8

Step-by-step explanation:

(10 +/- √100-104)/4

(10 +/- 2i)/4

5/4 +/- 1/2i

5/4 * 1/2 = 5/8

Answer:  Focus = (7.5, -3)

Step-by-step explanation:

The Vertex form of a horizontal parabola is: x = a(y - k)² + h   where

Rewrite the equation in Vertex form to identify a, h, & k:

2x = (y + 3)² + 14

[tex]x=\dfrac{(y+3)^2+14}{2}\\\\x=\dfrac{1}{2}(y+4)^2+7[/tex]

       Vertex: (h, k) = (7, -3)

         [tex]a=\dfrac{1}{2}[/tex]

Find p and then find the focus:  Focus = (h + p, k)

[tex]a=\dfrac{1}{4p}\quad \rightarrow \quad \dfrac{1}{2}=\dfrac{1}{4p}\quad \rightarrow \quad 4p=2\quad \rightarrow \quad p=\dfrac{2}{4}\quad \rightarrow p=\dfrac{1}{2}\\[/tex]

Focus: (7 + [tex]\frac{1}{2}[/tex] , -3) = (7.5, -3)

Answer:

Circle

hope this helps.

Answer:

A closed, two-dimensional or flat figure is called a plane shape.

Answer: He can use 3 x 5 = 15 and 15 + 3.

Step-by-step explanation:

Since a small car is $3, and the large car is 5x the price of the small car, he can use the equation 3 x 5 = 15, because the small car is $3, and the large car is 5x the price. You can use 15 + 3 = 18, because the small car is $3, so you also have to add that.

Here to help!

The equation is x + 5x = 18 , where x is the cost of small toy car and the total cost of the two cars = $ 18

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of the two cars be A

Now , the equation will be

Let the cost of the small toy car be = x

The cost of small toy car = $ 3

The cost of the large car = 5 x cost of small toy car

Substituting the values in the equation , we get

The cost of the large car = 5 x 3

The cost of the large car = $ 15

So , the cost of two cars = x + 5x

Substituting the values in the equation , we get

The total cost of the two cars A = 15 + 3

The total cost of the two cars A = $ 18

Therefore , the value of A is $ 18

Hence , the equation is A = x + 5x

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Answer:

The correct answer is 8 servings of pancakes.

Step-by-step explanation:

If each serving of pancakes calls for 1/4 cup of flour, to find how many servings can be made with 2 cups of flour, we should divide 2 cups by 1/4 cup.

To do this, we can first convert 1/4 to a decimal by dividing the numerator by the denominator.  

1/4 = 0.25

Next, we can go ahead with the division.

2 / 0.25 = 8

Therefore, 8 servings of pancakes can be made with 2 cups of flour.

Hope this helps!

Answer:

Step-by-step explanation:

2x-25,6=90

2x=90+25,6

2x=115,6

x=57,8

Answer:

The number is 57.8

Step-by-step explanation:

Let x = number

2x -25.6 = 90

Add 25.6 to each side

2x-25.6 +25.6 = 90+25.6

2x=115.6

Divide by 2

2x/2 =115.6/2

x =57.8

Answer:

THEY ARE COMPLIMENTARY BUT NOT NECESSARILY CONGRUENT.

Step-by-step explanation:

This is so because their lines don't meet.

Answer:

Minimum People required = 5

Step-by-step explanation:

Total hours required to complete the work every week = 150 hrs.

Number of hours worked per week by one person = 32 hr

∴ Number of people required to complete the work per week = Total number of hrs to complete the work ÷ No of hrs work per person

∴ Number of people = 150 ÷ 32

∴ Number of people = 4.6875

This is the minimum number of people. But no of people cannot be a fraction.

Thus, rounding the number to next integer.

∴ Smallest number of people needed to complete the work = 5

Answer:

11 shots

Step-by-step explanation:

Why we did this:

So therefore, Owen made 11 of 18 shots he attempted.

Owen attempted 11 shots during the hockey practice.

Number of shots attempted by Owen = 18

Percentage of shots made = 60%

Then, the number of shots made will be calculated as:

= Percentage of shots made × Number of shots attempted

= 60% × 18

= 60/100 × 18

= 0.6 × 18

= 10.8 shots

= 11 shots approximately

In conclusion, Owen made 11 shots

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Answer:

[tex]x =-5\ - \sqrt{8}[/tex]

Step-by-step explanation:

Given

[tex]x^2 + 10x + 25 = 8[/tex]

Required

Find the smallest value of x

[tex]x^2 + 10x + 25 = 8[/tex]

Expand the expression on the right hand side

[tex]x^2 + 5x + 5x + 25 = 8[/tex]

Factorize

[tex]x(x+5)+5(x+5) = 8[/tex]

[tex](x+5)(x+5) = 8[/tex]

[tex](x+5)^2 = 8[/tex]

Take Square root of both sides

[tex]\sqrt{(x+5)^2} = \±\sqrt{8}[/tex]

[tex](x+5) = \±\sqrt{8}[/tex]

Remove bracket

[tex]x+5 = \±\sqrt{8}[/tex]

Subtract 5 from both sides

[tex]x+5-5 =-5\± \sqrt{8}[/tex]

[tex]x =-5\± \sqrt{8}[/tex]

[tex]x =-5\ + \sqrt{8}[/tex] or [tex]x =-5\ - \sqrt{8}[/tex]

Comparing both values of x;

The smallest value of x is

[tex]x =-5\ - \sqrt{8}[/tex]

Answer:

Points A, F, and G are three collinear points on line l.

Step-by-step explanation:

Answer:

Points A, F and G

Step-by-step explanation:

Answer:

2,041 square centimeters

Step-by-step explanation:

surface area = (2 × π × r × h) + ((π × r) × (r+ (√(c² + r²))))+(π × r²)

where,

cylinder  base radius (r) = 10  cm

height of cylinder (h) = 16 cm

total height = 28 cm

cone height (c) = total height - height of cylinder = 28 - 16 = 12cm

π = 3.14

surface area = (2 × 3.14 × 10 × 16) + ((3.14 × 10) × (10+ (√(12² + 10²))))+(3.14 × 10²)

surface area = 1004.8 + (31.4 * 25.6) + 314

surface area = 2122.64 cm²

therefore the approximate surface area given is 2,041 square centimeters

Answer:

See below

Step-by-step explanation:

2^(10)= 2x...x2 how many times  =  10 times 2

15^(57)= 15x...x15 how many times  = 57 times 15

(-4)x...x(-4) 7 times =  (-4)^(7)

(1.5)x...x(1.5) 12 times = (1.5)^(12)

Answer:

-2

Step-by-step explanation:

5x – 15 > 10 + 20x

Subtract 5x from each side

5x – 15-5x > 10 + 20x-5x

-15 > 10+15x

Subtract 10 from each side

-15-10 >15x

-25 > 15x

Divide each side by 15

-25/15 > x

-5/3 > x

X must be less than -1  2/3

The only value that is less than -1 2/3 is -2

Answer:

Step-by-step explanation:

[tex]5x - 15 > 10 + 20x\\\mathrm{Add\:}15\mathrm{\:to\:both\:sides}\\\\5x-15+15>10+20x+15\\\mathrm{Simplify}\\\\5x>20x+25\\\\\mathrm{Subtract\:}20x\mathrm{\:from\:both\:sides}\\\\5x-20x>20x+25-20x\\\\\mathrm{Simplify}\\\\-15x>25\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-15x\right)\left(-1\right)<25\left(-1\right)\\\\\mathrm{Simplify}\\\\15x<-25\\\\\mathrm{Divide\:both\:sides\:by\:}15\\\\\frac{15x}{15}<\frac{-25}{15}\\\\x<-\frac{5}{3}[/tex]

Answer:

Step-by-step explanation:

Let the points be A and B

A ( 7 , 5 ) ⇒( x₁ , y₁ )

B ( 2 , 4 )⇒( x₂ , y₂ )

Now, let's find the slope of the line which contains these points:

Slope = [tex] \mathsf{\frac{y2 - y1}{x2 - x1} }[/tex]

plug the values

⇒[tex] \mathsf{ \frac{4 - 5}{2 - 7} }[/tex]

Calculate

⇒[tex] \mathsf{ \frac{ - 1}{ - 5} }[/tex]

Reduce the fraction with -1

⇒[tex] \mathsf{ \frac{1}{5} }[/tex]

Hope I helped!

Best regards!

Answer:

0

Step-by-step explanation:

Common Difference = Difference between any two consecutive terms

= - 4 - (-4)

= - 4 + 4

= 0

Answer:

Triangle

Step-by-step explanation:

Has 120° degrees of rotation and measure of the central angle and has 3-fold rotational symmetry

Answer:

LCM of 7/25 and 3/25 is 25

Step-by-step explanation:

The full meaning of LCM is Lowest (Least) Common Multiple

Lowest (Least)Common Multiple can be defined as the lowest or least number that is the multiple of two or more number. Note that this least number is not zero

Lowest(Least) common Multiple when applied to fractions is the least number that is the multiple of the denominators of the fraction.

In the above question, we are asked stop find the LCM of 7÷25 and 3÷25

= LCM of 7/25 and 3/25

The two denominators are the same, hence, the LCM is 25.

Answer:

Option (C) : y = 6 / 11

Step-by-step explanation:

To find Horizontal Asymptote of the function, you need to see degree of of numerator and denominator.

Since, the degrees of the numerator and denominator are the same,

Horizontal Asymptote = leading coefficient of the numerator divided byleading coefficient of the denominator

Therefore,

Horizontal Asymptote = 6 / 11

Answer:

ac is 200% of cd

Step-by-step explanation:

To answer this question, we shall be making a visual representation.

Let’s take it one at a time.

Given;

b is the midpoint of ac

a b c

What this means is that a-b represents 50%, while bc represents another 50%

okay, we move on:

c is the midpoint of bd

b c d

What this means is that bc is 50%, while cd is another 50%.

So let’s combine the representations;

a 50% b 50% c 50% d

Now what does the question says again?

What percent of cd is ac?

From a to c, we can see two 50% which means 100%

while cd is just the regular 50%

So we can see that ac is actually twice cd

What we are saying here is , if cd is x, then ac is 2x

So we can restructure our question to mean, what percent of x is 2x?

That is simply 2x/x * 100 and that is 200%

Answer: ac is 200% of cd

Step-by-step explanation:

intercept is the length from origin to intersection point of respective axis,

it intersects x axis at -7.5 and y is 0 so x intercept is (-7.5,0)

and similarly, y intercept is (0,5.5)

Answer:

(- 7.5, 0 ) and (0, 5.5 )

Step-by-step explanation:

The x- intercept is the value of x on the x- axis where the line crosses.

Here the line crosses the x- axis at - 7.5 , thus the coordinates of x- intercept

(- 7.5, 0 )

The y- intercept is the value of y on the y- axis where the line crosses.

Here the line crosses the y- axis at 5.5 thus the coordinates of the y- intercept

(0, 5.5 )

Answer:

8

Step-by-step explanation:

Given hotel bill = ₹4800

Let initially, number of people = [tex]x[/tex]

Initial Bill of each person = Hotel bill divided by number of people = [tex]\frac{4800}{x}[/tex]

4 people are added to the hotel stay.

i.e. new number of people = [tex]x+4[/tex]

New bill becomes ₹200 less for each person.

New bill for each person = [tex]\frac{4800}{x}[/tex] - 200

Hotel bill remains the same i.e. ₹4800 = New bill for each person multiplied by new number of people.

[tex]4800 = (\dfrac{4800}{x}-200) (x+4)\\\Rightarrow 4800 = \dfrac{4800}{x}\times x -200\times x + \dfrac{4800}{x}\times 4 - 200\times 4\\\Rightarrow 4800 = 4800 -200 x + \dfrac{4800}{x}\times 4 - 800 \\\Rightarrow 800 = -200x+\dfrac{19200}{x}\\\Rightarrow 4 = -x+\dfrac{96}{x}\\\Rightarrow x^2+4x-96=0 \\\Rightarrow x^2+12x-8x-96=0\\\Rightarrow x(x+12)-8(x+12)=0\\\Rightarrow \bold{x = 8}, x= -12\ not\ possible[/tex]

Answer:

x = 7

Step-by-step explanation:

Since it’s the area of a square, we can simply do square root of 1024. (Because to get area of square you do side x side). Which is 32.

So basically 4x + 4 = 32... x = 7

Answer:

x = 7

Step-by-step explanation:

A = 1024

side length of a square = 4x + 4

A = s²

s = √A

s = √1024

s = 32

using the side length to get the value of x

s = 32

4x + 4 = 32

4x = 32 - 4

x = 28 / 4

x = 7

check:

A = side length * side length

A = (4x + 4) * (4x + 4)

A = (4*7 + 4) * (4*7 + 4)

A = 32 * 32

A = 1024  ok

Answer:

The 2 values that makes the function equal to 18 is 3 and -6

Step-by-step explanation:

First you can convert the quadratic equation from standard form to root form

Step 1: Substitute f(g) = 18

Step 2: Move 18 to the other side to create

0 = g² + 3g - 18

Step 3: Now we rearrange equation from standard form into root form

Step 4: Find what adds to 3 and multiples to -18

-3 and 6 adds to 3 and multiples to -18

Step 5: Now we substitute -3 and 6 into the root equation

0 = (g-3)(g+6)

Step 6: Set the brackets to 0 and solve

g - 3 = 0

g = 3

g + 6 = 0

g = -6

Answer:

B

Step-by-step explanation:

So this was a pretty difficult question to do algebraically so I just came up with an example.

Step-by-step explanation:

Hey,there!!!

Let's simply work with it,

We have,

One point is (x2,y2) and midpoint is(x,y).

Now, let's use midpoint formulae,

[tex](x ,\: y) = \frac{x1 + x2}{2} + \frac{y1 + y2}{2} [/tex]

Now, let's equate with their corresponding elements we get,

[tex]x = \frac{x1 + x2}{2} [/tex]

now, 2x=x1+x2

or, x1=2x-x2

and

[tex]y = \frac{y1 + y2}{2} [/tex]

now,

2y = y1+y2

or, y1 = 2y-y2

Therefore, the answer is (x1,y1)= { (2x-x2),(2y-y2) }

Hope it helps...