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2 years ago

Can someone please help with this?

Mathematics

1 answer:

miv72 [106K]2 years ago

6 0

The scale factor is 2, but I don’t know the point of dilation. Maybe B

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Find all values of x in the interval [0, 2π] that satisfy the equation. <br><br>6sin²(x) = 3

34kurt

Answer:

The solutions are π/4, 3π/4,5π/4,7π/4

Step-by-step explanation:

The given equation is

6sin²(x) = 3

Divide by 6 to get:

${ \sin}^{2} (x) = \frac{1}{2}$

This implies that;

$\sin(x) = \pm \frac{ \sqrt{2} }{2}$

$\sin(x) = \frac{ \sqrt{2} }{2}$

$x = \frac{\pi}{4}$

in the first quadrant

$x = \frac{3\pi}{4}$

in the second quadrant.

$\sin(x) = - \frac{ \sqrt{2} }{2}$

$x = \frac{5\pi}{4}$

in the third quadrant

$x = \frac{7\pi}{4}$

5 0

3 years ago

A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas is 4:5. What is the ratio of t

Naddika [18.5K]

Answer:

Pretty sure 5:9.

Step-by-step explanation:

The total tortillas are 9. The total number of flour tortillas is 5. You get 5:9.

Hope I helped! :) Sorry if it's wrong :( Have an amazing day!!

3 0

3 years ago

Read 2 more answers

What is the vertex of the parabola?<br><br> y+4=1/2(x−7)^2

babymother [125]

Y=a(x-h)²+k

y+4=1/2(x-7)²

y=1/2(x-7)²-4

(h,k) is the vertex

(7, -4)

7 0

4 years ago

What is the slope of the given line segment?

wlad13 [49]

Answer:

Part 1) The slope of the given line segment is $m=-2$

Part 2) The midpoint of the given line segment is (2,-2)

Part 3) The slope of the perpendicular bisector of the given line segment is $m_2=\frac{1}{2}$

Part 4) The equation, in the slope-interception form, of the perpendicular bisector is $y=\frac{1}{2}x-3$

Step-by-step explanation:

Part 1) What is the slope of the given line segment?

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

(4,-6) and (0,2)

substitute in the formula

$m=\frac{2+6}{0-4}$

$m=\frac{8}{-4}=-2$

Part 2) What is the midpoint of the given line segment?

We know that

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have the points

(4,-6) and (0,2)

substitute in the formula

$M(\frac{4+0}{2},\frac{-6+2}{2})$

$M(2,-2)$

Part 3) What is the slope of the perpendicular bisector of the given line segment?

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

$m_1*m_2=-1$

we have

$m_1=-2$ ---> slope of the given line segment

substitute

$(-2)*m_2=-1$

$m_2=\frac{1}{2}$

Part 4) What is the equation, in the slope-interception form, of the perpendicular bisector?

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$m=\frac{1}{2}$

The perpendicular bisector passes through the midpoint of the given line segment

$M(2,-2)$

substitute

$-2=\frac{1}{2}(2)+b$

$-2=1+b$

$b=-3$

therefore

$y=\frac{1}{2}x-3$

7 0

3 years ago

The number of a checking account is also known as the

stepladder [879]

Your account number (usually 10-12 digits) is specific to your personal account. It's the second set of numbers printed on the bottom of your checks, just to the right of the bank routing number. You can also find your account number on your monthly statement.

3 0

3 years ago

Read 2 more answers

Can someone please help with this?​

Can someone please help with this?