All categories

2 years ago

VXYZ is a kite. What is the length of XY?

Mathematics

2 answers:

olga nikolaevna [1]2 years ago

8 0

Answer:

$5x - 6 = 3x + 4 \\ 5x - 3x = 4 + 6 \\ 2x = 10 \\ x = 10 \div2 \\ x = 5 \\ length \: of \: xy = 3 \times 5 + 4 \\ = 15 + 4 \\ = 19$

balu736 [363]2 years ago

6 0

Answer: 19

Step-by-step explanation:

From the properties of the kite, we know that line segment XY is congruent to line segment ZY. Keep in mind, the variable we need to solve for this question is x!

From this, we can say that;

3x+4=5x-6

Plus 6 on both sides to get

3x+10=5x

Minus 3x on both sides to get

10=2x

divide both sides by 2 to get

5=x

now plug the x value 5, into the equation XY

3 times 5 + 4

multiplication goes first!

15+4=19

You might be interested in

5. Please write the equation of a line in y=mx+b format. Find the SLOPE first then find the Y-INTERCEPT (b) Your answer

castortr0y [4]

Answer:

y = $\frac{5}{3}x-1$

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here m = slope of the line

b = y-intercept

Slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

m = $\frac{y_2-y_1}{x_2-x_1}$

From the graph attached,

Since, the given line passes through (0, -1) and (3, 4),

Slope 'm' = $\frac{4+1}{3-0}$

m = $\frac{5}{3}$

y - intercept 'b' = -1

Therefore, equation of the line will be,

y = $\frac{5}{3}x-1$

5 0

2 years ago

Write an equation of the line below.

tamaranim1 [39]

Answer: y = -3/4x

Step-by-step explanation:

the slope is -3/4

4 0

2 years ago

Read 2 more answers

PLS TRY TO ANSWER ASAP.

Harrizon [31]

Answer:

0.075 m/min

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

1. Write the equation for the volume of the cone:

$V=\dfrac{1}{3}\pi r^2h$

2. Find the relation between the radius and the height:

r = diameter/2 = 5m/2 = 2.5m

h = 5.2m

h/r =5.2 / 2.5 = 2.08

3. Filling the tank:

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

x/y=r/h

y = x . h / r

The volume of water inside the cone is:

$V=\dfrac{1}{3}\pi x^2y$

$V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3$

4. Find the derivative of the volume of water with respect to time:

$\dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}$

5. Find x² when the volume of water is 8π m³:

$V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\ 11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062$ m²

6. Solve for dx/dt:

$1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}$

$\dfrac{dx}{dt}=0.03596m/min$

7. Find dh/dt:

From y/x = h/r = 2.08:

$y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min$

That is the rate at which the water level is rising when there is 8π m³ of water.

4 0

3 years ago

Robert climbed 775 steps and 12 1/2 minutes. How many steps did he average per minute?

UNO [17]

Answer:

Since the question requires you to give the answer in terms of steps/minute, the first step would be to convert hours to minutes: 12.5 hours = 750 minutes. Next, if he took 775 steps in 750 minutes, how many would he take in 1 minute? This requires you to set up the question as a proportion: (775 steps/ 750 minutes) = (x steps/1 minute)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Let f(x) = 2/x and g(x) = 2/x what is (g o f)(x)?

konstantin123 [22]

Answer:

(g o f)(x) = x

Step-by-step explanation:

Given the functions f(x) = 2/x and g(x) = 2/x

(g o f)(x) = g(f(x))

g(f(x)) = g(2/x)

Replace x with 2/x in g(x)

g(f(x)) = 2/(2/x)

g(f(x)) = 2 * x/2

g(f(x)) = 2x/2

g(f(x)) = x

Hence the composite function g o f)(x) is x

7 0

2 years ago