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2 years ago

I need help with both of these questions.

Mathematics

1 answer:

Inessa [10]2 years ago

5 0

On the first one
X= 14 and x= -12

On the second one
X= 7 and x= -7

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Ely’s team scored 62, 76, 53, and 70 points in their first four basketball games. How many points does the team need to score in

Yanka [14]

89 is the amount of points the team needs to score in the fifth game to average 70 points.

I hope this help

7 0

3 years ago

The sides of a triangle are 7, 4, n. If n is an integer, state the largest and smallest possible values of n. smallest value- la

VLD [36.1K]

The smallest value it could be is 4 and the largest value it could be is 10.

The triangle inequality theorem states that any two sides of a triangle must have a sum greater than the third side. Given the two sides we have, 7 and 4, the sum would be 11; this would mean that the missing side could be no more than 10.

If we take the unknown side and the smallest one we're given, we would have the inequality
n+4>7

Subtracting 4 from both sides we would have n>3. That means it would have to be the next integer up, which would be 4.

8 0

3 years ago

Find the slope-intercept form of the equation of the line through the point (0, -4) and (1, 0).

Arisa [49]

Answer:

The Slope Intercept form of the equation through the point (0, -4) and

(1, 0) is y = 4 x - 1

Step-by-step explanation:

Here, the given points are A (0,-4) and B(1,0)

Now, slope of the equation with points (a,b) and (c,d) is given as

$m = \frac{d - b}{c -a}$

So, here the slope of the line AB is given as:

$m = \frac{0 - (-4)}{1-0} = \frac{4}{1} = 4$

⇒ m = 4

Now, by POINT SLOPE form:

The equation with slope m and point (x0 , y0) is represented as :

(y-y0) = m (x-x0)

⇒ The equation of AB is of the form with point (1,0) is

y - 0 = 4 (x -1)

or, y = 4 x - 1

Also, the SLOPE INTERCEPT form of an equation is of the form

y = m x + C ; m = slope and C = y -intercept

Hence, the slope intercept form of the equation through the point (0, -4) and (1, 0) is y = 4 x - 1

4 0

3 years ago

A farmer Has 900 yards of fencing to enclose a rectangular pasture for her goats. Since one side of the pasture borders a river,

horsena [70]

Answer:

Length, l=450 yards

Width, b=225 yards

Step-by-step explanation:

Let the long side be x and since the length is twice the width, then the width is half of that length hence 0.5x. Since we only have three parts to fence as one long side doesn't require fencing, then the perimeter will be given by x+0.5x+0.5x=2x=900 yards

X=900/2=450 yards for long side.

The short side is 0.5x hence 0.5*450=225 yards

In conclusion, the long side is 450 yards while short side is 225 yards.

7 0

3 years ago

Simplify (4a^m+3)^3*(1/16a^1-m)^2

Marina86 [1]

The simplified answer is 27m^2

3 0

2 years ago