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2 years ago

Find the values of x and y in the d

Mathematics

1 answer:

tia_tia [17]2 years ago

7 0

9514 1404 393

Answer:

x = 20
y = 10

Step-by-step explanation:

The angle marks show that ΔRST is isosceles, so RT = RS. They also show ΔRTU to be equilateral, so UT = RT.

UT = RS

x -5 = 15

x = 20 . . . . . . add 5

ΔRTU is equilateral, so ∠RTU is 60°. The angle marked 3y° is complementary to that.

3y = 30

y = 10 . . . . . divide by 3

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The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1;

lukranit [14]

Answer:

10.25

Step-by-step explanation:

The slope of AC is given by the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (-4 -1)/(3 -(-1)) = -5/4

Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

y -(-4) = 4/5(x -3) . . . . line CB

When y = 1 (to match the y-value of A), then ...

1 +4 = 4/5(x -3)

5(5/4) = (x -3) . . . . . multiply by 5/4

6.25 +3 = x = 9.25 . . . . add 3

Point B is (9.25, 1).

The length of the hypotenuse is ...

9.25 -(-1) = 10.25

6 0

2 years ago

. William fills 1/3 of a water bottle in 1/6 of a minute. How much time will it

Alex Ar [27]

Answer:

It will take him

$\frac{1}{2}$

of a minute to fill the bottle.

Step-by-step explanation:

I'm really not sure this is right but..

we can solve using proportions. Cross-multiply and divide.

$\frac{ \frac{1}{3} of \: a \: water \: bottle}{\frac{1}{6} minute} \: = \frac{ \frac{3}{3} of \: a \: water \: bottle}{x} \\ \\ \frac{ \frac{1}{6} }{ \frac{1}{3} } = \frac{ \frac{1}{3} x}{ \frac{1}{3} } \\ \\ \frac{1}{2} = x$

5 0

3 years ago

The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3 are…

Leokris [45]

Answer:

$\boxed{\sf x- intercepts = 0 , 5 \ and \ -4}$

Step-by-step explanation:

A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,

$\sf \implies f(x) = 2x( x - 5 ) ^2(x+4)^3$

For finding the x intercept , equate the given function with 0, we have ;

$\sf \implies 2x ( x - 5 )^2(x+4)^3= 0$

Equate each factor with 0 ,

$\sf \implies 2x = 0$

Divide both sides by 2 ,

$\sf \implies\bf x = 0$

Again ,

$\sf \implies ( x - 5)^2=0$

Taking squareroot on both sides,

$\sf \implies x - 5 = 0$

Add 5 to both sides,

$\sf \implies \bf x = 5$

Similarly ,

$\sf \implies \bf x = -4$

Hence the x Intercepts are -4 , 0 and 5 .

{ See attachment also for graph } .

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%205x%20-%206" id="TexFormula1" title=" {x}^{2} + 5x - 6" alt="

Ymorist [56]

Answer:

(x+6)(x-1)

Step-by-step explanation:

factor using the x-box method

7 0

2 years ago

Read 2 more answers

Running out of time. Please make sure you know how to do this. Can't miss too many more!!!!!

oee [108]

Answer:

its the second one

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers