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3 years ago

Evaluate the following expression. 2-2 a0

Mathematics

2 answers:

Alinara [238K]3 years ago

6 0

The answer to the question is 0.25.

Serjik [45]3 years ago

5 0

Answer:

The answer is 0.25.

Step-by-step explanation:

First, you have to get of the negative from the power using Indices Law, a^-n = 1/a^n :

${2}^{ - 2}$

$\frac{1}{ {2}^{2} }$

Next, you can evaluate :

2² = 2×2

= 4

1/2² = 1/4

= 0.25

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Darina [25.2K]

a) Parallel for both line segments have the same slope = -5/4

b) 55º

Step-by-step explanation:

a) To verify the parallelism of these line segments, It's necessary to find the slope of each one. Parallel lines share the same slope value:

$m_{BC}=\frac{0-150}{120-0}=-\frac{-5}{4}\\m_{AD}=\frac{0-125}{100-0}=-\frac{5}{4}$

b) If ∠DAB = 125°, what is the measure of ∠CBA? Justify your reasoning.

Those beams do not form a parallelogram because:

Using the formula of distance between those points

$d=\sqrt{(y_{2}-y_1)^{2}-(x_{2}-x_{1})^2$

$\overline {AB}=25\: \: \: \overline{CD}=20\: \: \overline{AD}=160 \: \: \overline{BC}=192$

So this is a trapezoid. And two adjacent angles within a trapezoid are supplementary, so If ∠DAB = 125º then 180 - ∠CBA=55º

3 0

3 years ago

Write a simplified equation and explain the strategy.

lesya692 [45]

Answer:

the simplified equation would be 10d=5 (so d=2)

Using the addition property of equality eliminates the subtraction on the right side and results in an equivalent equation.

Step-by-step explanation:

i hope this helped!!

3 0

3 years ago

Claudia is making a gelatin dessert for a party. She plans on making 12 servings for every 5 people. If each pan Claudia uses to

just olya [345]

Answer:

Step-by-step explanation:

Key Word: 12 servings for every 5 people. if she makes it to hold 8 servings, what is enough plans she needs to feed 10 people?

formula: so 12 for 5 then 24 for 10.

solving problem:

12 people over 5 people = x over 10 people

since 5 times 2 equals 10 then 12 times is 24.. so we need 24 servings

we know from reading the question that each pan makes 8 servings.

$\frac{24}{8} = 3$

ANSWER : 3

6 0

3 years ago

What is the maxium number of right angles that can be contained in a triangle

alekssr [168]

Answer:

Step-by-step explanation:

A triangle can only have one right angle.

3 0

2 years ago

Marie is redecorating her bedroom and decides to

Elena L [17]

Answer:

360 ft²

Step-by-step explanation:

there are 3 walls

one full wall has area:

12*10=120 ft²

total = 120*3 = 360 ft²

4 0

2 years ago