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4 years ago

Are the following equations (1,2,3) one solution, infinitely many solutions, or no solution for each one? Please and Thank You

Mathematics

1 answer:

SSSSS [86.1K]4 years ago

5 0

1.when you change the first equation to the form it is the same as the second which means infinite solutions

y-3x=5 --->y=3x+5 then set them equal to find many possible solutions

2.this is no solution because the slopes are the same when you combine these equation the 2's cancel out and you ar left with y=12x which cannot be solved

3.when everything is different there is one solution

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Somebody please help me!!!!! 13 points!

Liono4ka [1.6K]

Answer: a<-3

dont forget the dash under the comparison for A is less or equal to negative 3

Step-by-step explanation:

10+2a<4

10-10+2a<4-10

2a<-6

2/2a<-6/2

a<-3

I simplified the inequality as if it were an equation.

For graphing just make up some random values/ numbers and graph it

3 0

3 years ago

Read 2 more answers

A square lawn has an area of 1152 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern

oksano4ka [1.4K]

Answer:

The radius of the circle is 16.97 feet

Step-by-step explanation:

First, we will the determine the length of one the sides of the square lawn.

From the question,

The square lawn has an area of 1152 square feet,

Now, we can determine the length of a side of the square lawn from the formula,

$A = l^{2}$ ( Formula for Area of a square)

Where $A$ is the area of the square lawn

and $l$ is the length of a side of the square lawn

From the question, $A$ = 1152 square fee

Then,

$1152 = l^{2}$

$l^{2} = 1152\\l = \sqrt{1152}$

$l = 24\sqrt{2}$ feet or $33.94$ feet

This is the length of one of the sides of the square lawn.

From the description in the question, the sprinkler sprays water in a circular pattern that just covers the lawn,

If the circular pattern formed just covers the lawn,

then, the diameter of the circle equals the length of one of the sides of the square lawn, that is,

$l = d$

Where $d$ is the diameter of the circle

Hence, $d = 24\sqrt{2}$ feet

This is the diameter of the circle.

Now, for the radius of the circle,

From the relation between radius and diameter,

$Radius = \frac{Diameter}{2}$

Then,

$Radius = \frac{24\sqrt{2} }{2}$

$Radius = 12\sqrt{2}$ feet or $16.97$ feet

Hence, the radius of the circle is 16.97 feet

8 0

3 years ago

A 99% confidence interval estimate can be interpreted to mean that: A) if all possible sample sizes of n are taken and confidenc

Aliun [14]

Answer:

The correct option is C) Both of the above.

Step-by-step explanation:

Consider the provided statement.

First understand the meaning of Confidence level.

Confidence level refers to the percentage of likelihood, or assurance, that when you draw a random sample several times, the confidence interval will contain the true population variable.

99% confidence means We are 99% sure that most of these confidence intervals contain the true parameter of the population.

Therefore, both the statement are correct.

Hence, the correct option is C) Both of the above.

8 0

3 years ago

ANSWER ASAP |What is the measure of angle x?

Marina86 [1]

Answer:

x = 83°

Step-by-step explanation:

41, 56 and the missing angle = 180° ( form a straight angle )

missing angle = 180° - (41 + 56)° = 180° - 97° = 83°

The angle x and the missing angle are vertically opposite and congruent

Hence x = 83°

8 0

4 years ago

Can anyone help me with these questions there is a photo of them the question of the triangle is find the value of a

Olin [163]

13. a^2+7^2=15^2

a^2+49=225

-49=-49

a^2=176

a=13.266

14. 4 more girls chose soccer over softball.

15. I think it's a negative correlation or you have to find dots that can make a line

16. 3

4 0

4 years ago