Need help on this!!! 7 points!!!!

Use the slope-intercept method to graph the equation y=2x-4. Is (3,2) a solution?

Andru [333]

Yes, (3, 2) is a solution to y = 2x - 4. (:

8 0

3 years ago

Read 2 more answers

When 0.5 and the number n are multiplied the result is 2.5 what is the value of n

tresset_1 [31]

first form an equation to solve the problem

<em>bring 0.5 over to the other side and divide it by 2.5</em>

<em>the answer is </em>

<em>so,</em>

hope that helps :)

8 0

3 years ago

The population of deer in a state park in 1985 was 46,000. The population in 1990 was 72,000. What is the rate of change of the

Vesnalui [34]

Answer:

5200 deer/year

Step-by-step explanation:

$rateofchange=changeinpopulation \div changeinyears$
we will call the rate of change, the slope of the function
$slope=(72000-46000)deer\div (1990-1985)years\\=26000deer\div 5years\\=(\frac{26000}{5}) deer/year\\==5200deer/year$

3 0

2 years ago

Yeah i need major help with this

Lady_Fox [76]

Answer:

See below

Step-by-step explanation:

I'm not sure if there are any specific instructions on how these answers are supposed to be written, but here's my best shot:

1. U

2. XZ, VY

3. VU, WU

4. XY, ZY

5. ⊙U

6. XZ, VY (they are diameters but also intersect)

7. VY = 10 cm, WU = 5 cm

8. Diameter (of larger circle)

9. Diameter (of smaller circle)

10. Radius (of larger circle)

11. Radius (of smaller circle)

3 0

3 years ago

If triangle CAT is similar to triangle DOG, which of the following statements is incorrect?

jeyben [28]

Answer:

1. triangle TCA ~ triangle GOD

4. If TC/GD=3/2, then m<T/m<G=3/2.

Step-by-step explanation:

<u><em>The statements of the question are</em></u>

1. triangle TCA ~ triangle GOD

2. AT: OG= AC:OD

3. If TC/GD=3/2, then AC/OD=3/2.

4. If TC/GD=3/2, then m<T/m<G=3/2.

5. If the scale factor of triangle CAT to triangle DOG is 3 to 2, then the scale factor of triangle DOG to triangle CAT is 2 to 3.

6. If AC is twice as long as AT, then OD is twice as long as OG

<u><em>Verify each statement</em></u>

1) triangle TCA ~ triangle GOD

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

triangle CAT ~ triangle DOG -----> is given

so

Reorder

Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement

triangle TCA ~ triangle GDO

therefore

The statement is not correct

2). AT: OG= AC:OD

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

triangle CAT ~ triangle DOG -----> is given

so

Applying proportion

$\frac{AT}{OG}=\frac{AC}{OD}=\frac{TC}{GD}$

The statement is true

3). If TC/GD=3/2, then AC/OD=3/2.

we have that

$\frac{AT}{OG}=\frac{AC}{OD}=\frac{TC}{GD}$ ---> see part 2)

so

$\frac{TC}{GD}=\frac{AC}{OD}$

therefore

The statement is true

4). If TC/GD=3/2, then m<T/m<G=3/2

Remember that

In two similar triangles, corresponding angles are congruent

so

$m\angle T=m\angle G$

$m\angle T/m\angle G=1$

therefore

The statement is false

5). If the scale factor of triangle CAT to triangle DOG is 3 to 2, then the scale factor of triangle DOG to triangle CAT is 2 to 3

we know that

If the scale factor of triangle CAT to triangle DOG is a/b. then the scale factor of triangle DOG to triangle CAT is b/a

The scale factor will be the reciprocal

therefore

The statement is true

6). If AC is twice as long as AT, then OD is twice as long as OG

we know that

$\frac{AT}{OG}=\frac{AC}{OD}$

Reorder

$\frac{AT}{AC}=\frac{OG}{OD}$

If AC is twice as long as AT ----> AC=2AT

If OD is twice as long as OG ----> OD=2OG

substitute

$\frac{AT}{2AT}=\frac{OG}{2OG}$

simplify

$\frac{1}{2}=\frac{1}{2}$ ----> is true

therefore

The statement is true

5 0

3 years ago