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2 years ago

Find the long multiplication answer for 7/10

Mathematics

1 answer:

OLga [1]2 years ago

5 0

Answer:

sa fac un dealog din 7 /10 propoziții

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What is the slope of the line that passes through the points (10,-6) and (8, -16)?

gulaghasi [49]

Answer:

y = 5x -56

Step-by-step explanation:

Delta y over Delta x for slope. Plug in x = 0 for y int.

y = 5(0) -56

y = -56

8 0

2 years ago

At what point on the parabola y = 3x^2 + 2x is the tangent line parallel to the line<br> y = 10x −2?

oksian1 [2.3K]

Answer:

( $\frac{4}{3}$ , 8 )

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 10x - 2 ← is in slope- intercept form

with slope m = 10

Parallel lines have equal slopes

then the tangent to the parabola with a slope of 10 is required.

the slope of the tangent at any point on the parabola is $\frac{dy}{dx}$

differentiate each term using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$ , then

$\frac{dy}{dx}$ = 6x + 2

equating this to 10 gives

6x + 2 = 10 ( subtract 2 from both sides )

6x = 8 ( divide both sides by 6 )

x = $\frac{8}{6}$ = $\frac{4}{3}$

substitute this value into the equation of the parabola for corresponding y- coordinate.

y = 3( $\frac{4}{3}$ )² + 2

= (3 × $\frac{16}{9}$ ) + 2

= $\frac{16}{3}$ + $\frac{8}{3}$

= $\frac{24}{3}$

= 8

the point on the parabola with tangent parallel to y = 10x - 2 is ( $\frac{4}{3}$ , 8 )

3 0

1 year ago

Kate and David each have $10. Together they flip a coin 5 times. Every time the coin lands on heads, Kate gives David $1. Every

olga55 [171]

Answer:

4 possible ways this could happen

Step-by-step explanation:

1. $11

2. $12

3. $13

4. $14

hope this was helpful

8 0

2 years ago

marlee spins a spinner and rolls 1-6 # cube. the spinner has 5 equal parts # 1-5 . what is the probability she will spin an even

forsale [732]

The events are independant (i.e. what she rolls on the cube has no impact on how the spinner works). The probability of two independant events is given by:

$P_t = P_{cube} \times P_{spin}$

For the cube, 1/2 the numbers meet our requitment of being even, so:
$P_{cube} = \frac{Desired}{Total} = \frac{even}{total} = \frac{3}{6} =\frac{1}{2}$

For the spinner, there are 3 odds out of 5 (1, 3 & 5) so:
$P_{spin} =\frac{Desired}{Total} = \frac{odd}{total} = \frac{3}{5}$

and then:
$P_T = P_{cube} \times P_{spin}$
$P_T =\frac{1}{2} \times \frac{3}{5}$
$P_T =\frac{3}{10}$

6 0

3 years ago

3x + 5y = -27<br> |-7x - 5y = 3

Ivanshal [37]

Answer:

(x, y) = (6, -9)

Step-by-step explanation:

Add the two equations to eliminate the y-variable:

(3x +5y) +(-7x -5y) = (-27) +(3)

-4x = -24 . . . simplify

x = 6 . . . . . . divide by -4

Substitute this value of x into the first equation and solve for y:

3(6) +5y = -27

5y = -45 . . . . . . . subtract 18

y = -9 . . . . . . . . . divide by 5

The solution to this system of equations is (x, y) = (6, -9).

4 0

2 years ago