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2 years ago

Expand than simplify: -2(8p+9q)

Mathematics

1 answer:

Eva8 [605]2 years ago

5 0

Answer:

expanding ends up as the simplest form:

-16p-18q

Step-by-step explanation:

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4. Find the value of x in the right triangle below.<br> 60°

antiseptic1488 [7]

Answer:

Step-by-step explanation:

It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...

1 : √3 : 2

Then the sides marked will have the ratio ...

6 : x = 1 : 2 = 6 : 12

x = 12

_____

You can also get there using trigonometry.

cos(60°) = 6/x

x = 60/cos(60° = 60/0.5

x = 12

7 0

2 years ago

A box of cereal states that there are 81 calories in a 7-cup serving. What is the unit rate for calories

mr_godi [17]

Answer:

23.142857143 calories or 23 1/7 calories

The unit rate is calories per cup

Step-by-step explanation:

7- cup serving = 81 calories

2 cups = x calories

Cross Multiply

2 cups × 81 calories = 7 cups × x

x = 2 cups × 81 calories/7 cups

x = 23.142857143 calories or 23 1/7 calories

5 0

2 years ago

3. Find the slope of the line<br> f(x)1/2x+8. Describe how the line slopes.

wariber [46]

Answer:

slope: $\frac{1}{2}$

Step-by-step explanation:

$f(x)=mx+b\\m=slope\\\\f(x)=\frac{1}{2} x+8\\\frac{(rise)}{(run)}=\frac{1}{2}$

the linear line has a positive slope that goes up by 1 unit and right by 2 units

7 0

2 years ago

Without measuring, how can you determine whether two sides of a polygon are congruent?

Alinara [238K]

Ow... this geometry is sure hard!!
.
Wait a second. Nope.
.
TWO SIDES!!
.
ITT!!
.
CONVERSE ITT!!
.
Converse Isosceles Triangle Theorem!
.
Look at the picture I attached.
.
Two angles equal... THE SIDES ADJACENT TO IT EQUAL!!
.
PERFECTO!!
.
Hope I helped!!

Source: I am learning Honors Geometry, near end of course.

7 0

2 years ago

$300 at 4% for 3 years. what is th interest of money? and what is the balance of the amount

Norma-Jean [14]

Answer:

$36.00

Step-by-step explanation:

3 0

3 years ago