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3 years ago

without actually subtracting, how can you tell whether the result of subtracting two numbers will be negative?

Mathematics

2 answers:

nadya68 [22]3 years ago

3 0

Answer:

if a<b

Step-by-step explanation:

a-b<0 if a<b

Vika [28.1K]3 years ago

3 0

Answer:

if we subtract two negative numbers the result is negative .

for instance, -3-4 = -7

and if we subtract a positive number from a negative number the answer is positive and vice versa the answer will be negative if the negative number is greater than the positive number.

for instance, -6 + 2 = -4

but if the negative number is greater than, +6 - 2 = 4

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Solve for x. Round to the nearest hundredth

PIT_PIT [208]

Given that the length of one leg is 6 and the angle is 40°

The hypotenuse is x.

We need to determine the value of x.

Value of x:

The value of x can be determined using the trigonometric ratio.

Thus, we have;

$cos \ \theta=\frac{adj}{hyp}$

Substituting the values, we get;

$cos \ 45^{\circ}=\frac{6}{x}$

Simplifying, we have;

$x=\frac{6}{cos \ 45^{\circ}}$

$x=\frac{6}{0.766}$

Dividing, we get;

$x\approx7.83$

Therefore, the value of x is 7.83(app.)

Hence, Option A is the correct answer.

3 0

3 years ago

The relation R is shown below as a list of ordered

Dmitrij [34]

Answer:

(1, 4) and (1,3), because they have the same x-value

Step-by-step explanation:

For a relation to be regarded as a function, there should be no two y-values assigned to an x-value. However, two different x-values can have the same y-values.

In the relation given in the equation, the ordered pairs (1,4) and (1,3), prevent the relation from being a function because, two y-values were assigned to the same x-value. x = 1, is having y = 4, and 3 respectively.

Therefore, the relation is not a function anymore if both ordered pairs are included.

The ordered pairs which make the relation not to be a function are: "(1, 4) and (1,3), because they have the same x-value".

7 0

3 years ago

Find the length of BC

Ivan

Answer:

13.3650978628

Step-by-step explanation:

Angle A=180-(Angle B+C)=180-117=63

Here,

b=BC, p=AC & AB=12

Using the relation of cos,

cosx=b/h

cos27=BC/15

15cos27=BC

Using a calculator,

BC=13.3650978628

6 0

3 years ago

Solve this system by substitution. Y=-8x-23 Y=-5x-14

matrenka [14]

$set\ them\ equal\ to\ each\ other \\ -8x-23=-5x-14 \\ -3x-23=-14 \\ -3x=9 \\ x= \frac{9}{-3} \\ x=-3 \\ \\ plug\ in\ OG\ equation \\ y=-8x-23 \\ y=-8(-3)-23 \\ y=24-23 \\ y=1 \\ \\ \boxed {(-3,1)}$