All categories

3 years ago

What is the range of possible sizes for side x?

Mathematics

1 answer:

forsale [732]3 years ago

5 0

Answer:

all real numbers

Step-by-step explanation:

You might be interested in

Find the 12th term of the sequence -15,-9,-3, 3

Reika [66]

First term (a) = -15
common difference(d)= -9-(-15)
= -9+15=6
So,
12th term(a12)= a +(n-1)d
= -15+(12-1)×6
= -15 + 11×6
= -15+66
= 51

4 0

3 years ago

A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and .75 quart of grape juice. A. How much sparkling w

cluponka [151]

Answer: We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.

We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.

Step-by-step explanation:

Given: A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and .75 quart of grape juice.

Since, for recipe of sparkling grape juice , they should be used in same proportion.

Let x be the amount of sparkling water need to mix with 9 quarts of grape juice, then

$\frac{x}{9}=\frac{1.5}{0.75}\\\Rightarrow\ x=\frac{1.5\times9}{0.75}\\\Rightarrow\ x=18$

We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.

Let y be the amount of grape juice need to mix with 3.75 quarts of sparkling water, then

$\frac{3.75}{y}=\frac{1.5}{0.75}\\\Rightarrow\ y=\frac{3.75\times0.75}{1.5}\\\Rightarrow\ y=1.875$

We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.

4 0

3 years ago

WILL GIVE BRAINLIEST

myrzilka [38]

Answer:

$\sqrt{11}$

Step-by-step explanation:

The square root of 11 is 3.31... this could be the answer.

3 0

2 years ago

As x approaches 4, the value of 4x + 3 approaches<br> Gri

gogolik [260]

Answer:

Step-by-step explanation:

$4 \times x + 3 = 4 \times 4 + 3 = 16 + 3 = 19$

3 0

3 years ago

Find the area of a parallelogram with the given vertices. P(-2, -5), Q(9, -5), R(1, 5), S(12, 5)

valentina_108 [34]

Answer:

The area of the parallelogram is 55 square unit.

Step-by-step explanation:

The area of a parallelogram is

$A=\frac{1}{2}\times base\times height$

It is given that the vertices of the parallelogram are P(-2, -5), Q(9, -5), R(1, 5), S(12, 5).

Plot these points on a coordinate plane, and draw a perpendicular on PQ from the point R.

From the graph is clear that length of PQ is 11 and the height of the parallelogram is 10. So, the area of a parallelogram is

$A=\frac{1}{2}\times 11\times 10$

$A=55$

Therefore the area of the parallelogram is 55 square unit.

4 0

3 years ago