Determine whether the statement is true or false. If it is true, explain why.

Mathematics

1 answer:

Over [174]4 years ago

8 0

True.

Since $y^4 \geq 0$ , $y' = -1 - y^4 \ \textless \ 0$ and the solutions are decreasing functions.

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Find the value of x in each case: Find the value of x in each case:

Burka [1]

Angles ∡DBE ≅ ∡ACD= 3x reason - angles with parallel arms

Angles ∡ADC and ∡ADB=95° are supplemental angles which means

∡ADC + ∡ADB=180° => ∡ADC = 180° - ∡ADB= 180°-95°= 85°

In the triangle we have ∡ADC + ∡ACD + ∡CAD = 180° =>

85 + 3x + 2x = 180 => 85 + 5x = 180 => 5x= 180-85 => 5x=95

x=95/5 => x=19°

Good luck!!!

4 0

3 years ago

Complete the missing value in the solution to the equation:<br> 7 + 5x = =3(y-2)<br> ( ,5)

mafiozo [28]

Answer:

x = 2/5

Step-by-step explanation:

Given:

7 + 5x = 3(y-2)

Rearrange this equation such that x is expressed in terms of y

7 + 5x = 3(y-2) (expand right side)

7 + 5x = y(3)-2(3)

7 + 5x = 3y-6 (subtract 7 from both sides)

5x = 3y - 6 - 7

5x = 3y - 13

we are given the y-value of the coordinate pair (? , 5)

simply substitute y=5 into the equation above

5x = 3y - 13

5x = 3(5) - 13

5x = 15 - 13

5x = 2 (divide both sides 5)

x = 2/5

7 0

3 years ago

Cody was 165\,\text{cm}165cm tall on the first day of school this year, which was 10\%10% taller than he was on the first day of

Doss [256]

Answer:

165 cm.

Step-by-step explanation:

Let h be the height of Cody on the first day of school last year.

We have been given that Cody was 165 cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

To find the height of Cody on the first day of school last year, we need to find h such that h plus 10% of h equals 165. We can represent this information in an equation as:

$h+10\%\text{ of }h=165$