The hypotenuse of a right triangle is 10 inches long. The longer leg is 2 inches longer than the shorter leg. Find the side lengths of the triangle.

Answer:

y = -1

Step-by-step explanation:

The standard form of equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19

Make y the subject of the formula in both expressions

For 2x  - y = 9

- y = 9- 2x

y = 2x - 9

Similarly for 3x - 7y = 19

-7y = 19 - 3x

7y = 3x - 19

y = 3/7 x - 19/7

Equating both expressions

2x - 9 = 3/7 x - 19/7

Multiply through ny 7

14x - 63 = 3x - 19

14x - 3x = -19 + 63

11x = 44

x = 44/11

x = 4

Since y =2x - 9

y = 2(4) - 9

y = 8-9

y = -1

Hence the coordinate of intersection is at (4, -1)

Get the equation of the line passing through (-3, -1) and (4, -1)

Slope m = -1+1/4+3

m = 0/7

m = 0

Get the intercept

Substitute m = 0 and (-3, -1) into y = mx+b

-1 = 0(-3) + b

-1 = b

b = -1

Get the required equation

Recall that y = mx + b

y = 0x + (-1)

y = -1

Hence the required equation is y = -1

Answer:

6

Step-by-step explanation:

AP^2 = PC * PB

We have PC and BC. We need PB.

PC = 12

BC = 9

PB + BC = PC

PB + 9 = 12

PB = 3

AP^2 = 12 * 3

AP^2 = 36

AP = 6

Answer: 6

Answer:

Hey!

Step-by-step explanation:-

to solve this, the equation  PB X PC = [tex]AP^{2}[/tex]  can be used

In the ques, its given that PC= 12cm and BC = 9.

To solve this, WE NEED TO FIND PB, SO:-

PB + BC = PC

PB + 9 = 12

PB = 3cm.

Now, we can substitute this in the equation:- PB X PC = [tex]AP^{2}[/tex]

[tex]AP^{2}[/tex] = PB x PC

[tex]AP^{2}[/tex] = 3 X 12

[tex]AP^{2}[/tex] = 36

AP = [tex]\sqrt{36}[/tex]

Answer:

[tex]105.56\ ft^3[/tex] of gravel was used.

Step-by-step explanation:

Given that,

The height of a cone, h = 6 feet

The diameter of the base of cone, d = 8.2 feet

Radius, r = 4.1 feet

We need to find the amount of gravel was delivered. The volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times 4.1^2\times 6\\\\V=105.56\ ft^3[/tex]

So, [tex]105.56\ ft^3[/tex] of gravel was used.

Answer:

67°........................

Answer:

x=67

Step-by-step explanation:

Answer:

demanded;

the price of another good demanded

Step-by-step explanation:

Cross price elasticity of demand measures the responsiveness of quantity demanded of good A to changes in price of good B.

cross price elasticity of demand = percentage change in quantity demanded of good A / percentage change in price of good B

Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.

Income elasticity of demand measures the responsiveness of quantity demanded to changes in income.

The statement represent three multiplied by six is 3 x 6 or 3.6

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis.

We have,

We have to represent three multiplied by six.

1. 3 x 6 shows three multiplied by six.

2. 3. 6 also shows three multiplied by six.

3. 316 not shows three multiplied by six.

4. 3:6 shows the division of 3 and 6.

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Answer:

8) 144pi

9) 196pi

11) 18pi

12) 298.67pi

Step-by-step explanation:

The volume of a cylinder is [tex]V = \pi r^{2} h[/tex], where r represents the radius of the base and h represents the height.

For the first cylinder, the radius of the base is 4 and the height is 9.

[tex]V = \pi (4)^{2} (9)\\V = \pi(16)(9)\\V = 144\pi[/tex]

For the second cylinder, the diameter is 6 and the height is 2. Since the radius is half the diameter, the radius is 3.

[tex]V = \pi (3)^{2} (2)\\V = \pi(9)(2)\\V = 18\pi[/tex]

The volume of a sphere is [tex]V = 4\pi r^{2}[/tex], where r is the radius of the sphere.

The diameter is 14, meaning the radius must be 7.

[tex]V = 4\pi (7)^{2} \\V = 4\pi (49)\\V = 196\pi[/tex]

The volume of a cone is [tex]V = \pi r^{2} (h/3)[/tex], where r is the radius and h is the height.

The radius is 8, and the height is 14.

[tex]V = \pi (8)^{2} (14/3)\\V = \pi (64) (14/3)\\V = \frac{896}{3} \pi\\V = 298.67\pi[/tex]

Answer:

y=3x-6.5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-0.5)=3(x-2)

y+0.5=3x-6

y=3x-6-0.5

y=3x-6.5

The slope of a line indicates the measure of the steepness and the direction of the line. The slope of any line can be calculated using any two distinct points lying on the line. The equation is y = 3x-6.5. The correct option is D.

The equation of a line is an algebraic form which represents the set of points, which together form a line in a coordinate system. The equation of line is a linear equation with a degree of one. It can be formed with the help of the slope and a point on the line.

The equation of a line passing through the point and slope is given as:

(y - y₁) = m (x - x₁)

(y - -( 0.5)) = 3 ( x - 2)

(y + 0.5) = 3 (x - 2)

(y + 1/2) = 3 (x - 2)

or

y + 0.5 = 3x - 6

y = 3x - 6.5

Thus the correct option is D.

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Your question is incomplete most probably your full question was:

Which equation represents a line that passes through (2, -0.5) and has a slope of 3?

A. y - 2 = 3( x + 1/2)

B. y- 3 = 2 ( x+ 1/2)

C. y + 1/2 = 3 (x - 2)

D. y + 1/2 = 2 (x -3)

Given:

The graph of a function and a blue line.

To find:

The correct name for the blue line.

Solution:

Domain: It is the set of inputs. These are the x-values for which the function is defined.

Range: It is the set of outputs. These are the y-values for the function.

Asymptote: The function approaches to a line as x approaches to -∞ or ∞ but not intersect the line, then the line is known as asymptote.

y-intercept: It is the intersection point of the function and the y-axis.

From the given graph it is clear that the function approaches to the blue line as x approaches to -∞ but not intersect the blue line.

So, the blue line is an asymptote of the function.

Look at the graph shown below the blue line represents an asymptote of the graph.

Answer:

QX = 5.7

Step-by-step explanation:

Here, we want to get QX

For a rectangle, the length of the parallel sides are equal

Thus,

SR will be 8 too

Since x is the midpoint of SR, we have it that RX is 4 too

The angle at each corner of the rectangle is 90 degrees each

Thus,

QRX is a right triangle

Mathematically, QX is the hypotenuse of this triangle as it is the side that faces the right angle

According to Pythagoras’ ; the square of the hypotenuse of a right triangle equals the sum of the squares of the two other sides

thus;

Qx^2 = 4^2 + 4^2

QX^2 = 32

QX = √(32)

QX = 5.7 units

Answer:

6b+0=6b

Step-by-step explanation:

M a t h

Answer:

9.2

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

Answer:

hello! Your answer would be, 1: B) AND 2: D)

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

Answer:

60

Step-by-step explanation:

The sum of two interior angles in a triangles is equal to one exterior angle that is supplementary to the third interior angle

3x+4x = 10x - 45

7x = 10x - 45 transfer 45 to the other side of equation and subtract 7x from 10 10

45 = 10x - 7x

45 = 3x divide both sides by 3

15 = x angle B is 4*15 = 60

Answer:

KJ = 128°

Step-by-step explanation:

JL = 2×26 = 52°

KL= KJ + JL

KJ = KL-JL

KJ = 180° - 52°

KJ = 128°

Answer:

A constant with hidden variable being two times on first term increased by three times.

or,

A hidden age of adult twice adding with variable increasing with three times.

Answer:

4 R 3 or 4.5

Step-by-step explanation:

Answer:

y = -|x-3|+2

Step-by-step explanation:

The y-intercept is 2, because absolute value takes values from 0 to infinity, and minus absolute value (as we have here) takes values from 0 to -infinity, so wee need to shift 2 upwards.

We can notice that the 0-point of the absolute value (without intercept) is at x=3, so we need |x - ?| to equal 0 when x = 3, so ? is 3.

y = -|x-3|+2

Answer:

31.4 OR 10π

Step-by-step explanation:

circumference of the circle: 2 × 3.14(π) × radius

the radius in the circle shown is 5

2 × 3.14 × 5 = 31.4

or

2 × π × 5 = 10π

Answer:

Step-by-step explanation:

If you check each answer, only B works since it is the only one that would place everything correctly on the timeline

Answer:

835$

Step-by-step explanation:

5$ for each extra mile

5 x 150 = 750

750 + 85 = 835