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3 years ago

What is this 8=a+3+4

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

8 0

$\bf Step-by-step~explanation:$

If we were to solve for a, we will need to isolate the variable.

$\bf Step~1:$

Add the like terms on the right side of the equation together.

$\bf 8=a+3+4\\8=a+7$

$\bf Step~2:$

Subtract 7 from both sides to move 7 to the other side.

$\bf 8(-7)=a+7(-7)\\1=a$

$\bf Step~3:$

Rewrite the equation so that the variable is at the beginning. This is the format most teachers prefer.

$\bf 1=a\\a=1$

$\large\boxed{\bf Our~final~answer:~a=1}$

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3 years ago

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3 years ago

(look at image) can i get help with this?

navik [9.2K]

Answer:

m∡A = 14

m∡B = 76

Step-by-step explanation:

Two Angles are Complementary when they add up to 90 degrees.

So 3x -7 + 11x - 1 = 90, which we can solve.

14x - 8 = 90

14x = 98

x = 98/14 = 7

with the knowledge of x=7, we can find the angles:

m∡A = 3·7 - 7 = 14

m∡B = 11·7 - 1 = 76

Supplementary angles are angles that add up to 180 degrees, so the next assignment is very comparable, try it!

4 0

3 years ago

Please help asap!!! i dont understand it

pshichka [43]

Answer:

Step-by-step explanation:

A perpendicular bisector, intersects a line at its mid point and is perpendicular to it.

Calculate slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13)

m = $\frac{13-1}{9-(-7)}$ = $\frac{12}{9+7}$ = $\frac{12}{16}$ = $\frac{3}{4}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{3}{4} }$ = - $\frac{4}{3}$ ← slope of perpendicular bisector

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( $\frac{x_{1}+x_{2} }{2}$ , $\frac{y_{1}+y_{2} }{2}$ )

using (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13) , then

midpoint = ( $\frac{-7+9}{2}$ , $\frac{1+13}{2}$ ) = ( $\frac{2}{2}$ , $\frac{14}{2}$ ) = (1, 7 )

The equation of a line in slope- intercept form is

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

Here m = - $\frac{4}{3}$ , then

y = - $\frac{4}{3}$ x + c ← is the partial equation

To find c substitute the midpoint (1, 7) into the partial equation

7 = - $\frac{4}{3}$ + c ⇒ c = $\frac{21}{3}$ + $\frac{4}{3}$ = $\frac{25}{3}$

y = - $\frac{4}{3}$ x + $\frac{25}{3}$ ← equation of perpendicular bisector

7 0

3 years ago

I NEED THIS QUESTION ANSWERED ASAP

Softa [21]

Answer:

1) 2 seconds

2) 70 feet

Step-by-step explanation:

we have the formula h = -16x² + 64x + 6

where h = height of ball and x = time in seconds

for 1 , we want to find how long it will take the ball to reach its maximum height.

if we want to find how long it will take to reach its maximum height , then we want to find the x value of vertex ( vertex = peak point and in this situation represents the maximum height and time ) as x = time in this scenario.

the x value of the vertex can be calculated using the formula x = -b/2a

where a and b derive from the formula put in quadratic form ax² + bx + c

so we have -16x² + 64x + 6 , 16 takes the spot of a so a = -16 and 64 takes the spot of b so b = 64

x = -b/2a

b = -16 and a = 64

hence, x = -(64)/2(-16)

==> remove parenthesis

x = -64/2(-16)

==> multiply 2 and -16

x = -64/-32

==> divide -64 by -32

x = 2

The x value of the vertex is two meaning it will take two second for the ball to reach its maximum height.

For 2) we want to find how high the ball will be when it reaches its maximum height

In other words we want to find the y value of the vertex as y = height of ball and we want to find the height of the ball at its maximum height which is at the vertex.

to find the y value of the vertex we simply plug in the x value into the equation and evaluate

we have -16x² + 64x + 6 and the x value of the vertex is 2

so we get -16(2)² + 64(2) + 6

==> evaluate exponent

y = -16(4) + 64(2) + 6

==> multiply -16 and 4

y = -64 + 64(2) + 6

==> the -64 cancels out the x2 in 64(2)

y = 64 + 6

==> add 64 and 6

y = 70

The y value of the vertex is 70 meaning the ball was at 70 feet at its maximum height

For more validation check the attatched image

3 0

2 years ago