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3 years ago

What is the x-coordinate of point B? A -1 B - 4 С 1 D 4

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

5 0

The x-coordinate would be -4 which would be answer choice B. This is the reason bc when you look at a graph it goes from x to y same as the alphabet

arsen [322]3 years ago

3 0

Answer:

it should be -4 bc the point B goes right above the -4

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The square of even numbers are even number .show?

natima [27]

Answer:

. It’s because a prime factor of all even numbers is 2. Therefore the prime factors of all even squares includes two, therefore, the square must be even.

3 0

3 years ago

Answer please !! Due in 45 minutes m

weqwewe [10]

Answer:

(-3,3)

Step-by-step explanation:

Using elimination:

Multiply the first equation by 8 and the second by 5 which equals

40x+56y=48

-40-60y=-60

Now you add them together

40x+(-40x)=0 so that crosses out

56y+(-60y)= -4y

48+(-60)=-12

You now have -4y=-12

Divide by -4

y=3

Now plug in y to any of the equations

5x+7(3)=6

5x+21=6

Subtract 21 from both sides

5x=-15

Divide by 5

x=-3

Your final solution is (-3,3)

5 0

2 years ago

Eddi Din [679]

Answer:

a) $y=\dfrac{5}{2}x$

b) yes the two lines are perpendicular

c) $y=\dfrac{5}{4}x+6$

Step-by-step explanation:

a) All this is asking if to find a line that is perpendicular to 2x + 5y = 7 AND passes through the origin.

so first we'll find the gradient(or slope) of 2x + 5y = 7, this can be done by simply rearranging this equation to the form $y = mx + c$

$5y = 7 - 2x$

$y = \dfrac{7 - 2x}{5}$

$y = \dfrac{7}{5} - \dfrac{2}{5}x$

$y = -\dfrac{2}{5}x+\dfrac{7}{5}$

this is changed into the $y = mx + c$ , and we easily see that -2/5 is in the place of m, hence $m = \frac{-2}{5}$ is the slope of the line 2x + 5y = 7.

Now, we need to find the slope of its perpendicular. We'll use:

$m_1m_2=-1$ .

here both slopes $m_1$ and $m_2$ are slopes that are perpendicular to each other, so by plugging the value -2/5 we'll find its perpendicular!

$\dfrac{-2}{5}m_2=-1$ .

$m_2=\dfrac{5}{2}$ .

Finally, we can find the equation of the line of the perpendicular using:

$(y-y_1)=m(x-x_1)$

we know that the line passes through origin(0,0) and its slope is 5/2

$(y-0)=\dfrac{5}{2}(x-0)$

$y=\dfrac{5}{2}x$ is the equation of the the line!

b) For this we need to find the slopes of both lines and see whether their product equals -1?

mathematically, we need to see whether $m_1m_2=-1$ ?

the slopes can be easily found through rearranging both equations to $y=mx+c$

Line:1

$2x + 3y =6$

$y =\dfrac{-2x+6}{3}$

$y =\dfrac{-2}{3}x+2$

Line:2

$y = \dfrac{3}{2}x + 4$

this equation is already in the form we need.

the slopes of both equations are

$m_1 = \dfrac{-2}{3}$ and $m_2 = \dfrac{3}{2}$

using

$m_1m_2=-1$

$\dfrac{-2}{3} \times \dfrac{3}{2}=-1$

$-1=-1$

since the product does equal -1, the two lines are indeed perpendicular!

c)if two perpendicular lines have the same intercept, that also means that the two lines meet at that intercept.

we can easily find the slope of the given line, y = − 4 / 5 x + 6 to be $m=\dfrac{-4}{5}$ and the y-intercept is $c=6$ the coordinate at the y-intercept will be (0,6) since this point only lies in the y-axis.

we'll first find the slope of the perpendicular using:

$m_1m_2=-1$

$\dfrac{-4}{5}m_2=-1$

$m_2=\dfrac{5}{4}$

we have all the ingredients to find the equation of the line now. i.e (0,6) and m

$(y-y_1)=m(x-x_1)$

$(y-6)=\dfrac{5}{4}(x-0)$

$y=\dfrac{5}{4}x+6$

this is the equation of the second line.

side note:

this could also have been done by simply replacing the slope(m1) of the y = − 4 / 5 x + 6 by the slope of the perpendicular(m2): y = 5 / 4 x + 6

8 0

3 years ago

Will give brainly! Please help...

olga55 [171]

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3 years ago

If a basketball court is 94 feet long and 50 feet wide, what is the area of a basketball court?

OLEGan [10]

94 x 50 = 4700 square feet

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3 years ago

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