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3 years ago

7

The difference of the squares of two positive consecutive even integers is 84. Find the integers. Use the fact that, if x repre

sents an even integer, then xplus2 represents the next consecutive even integer.

1 answer:

Art [367]3 years ago

7 0

Has gawd though of the letter a

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Find the slope of the line that contains (3,-5) and (5,5)

3241004551 [841]

slope (M) = (y2-y1)/(x2-x1)

x1 =3, y1= -5, x2 = 5, y2=5

= (-5-5) / (3-5) = -10/-2 = 5

M=5

5 0

3 years ago

A family tree business removes overgrown trees for 3 months in the summer. In June, they removed 1/3 the number of trees as they

devlian [24]

Answer: 299

Step-by-step explanation:

Given

Family removes one-third of tress in June as much as they dd in July

They remove twice the number of July in august

Suppose they removed x trees in July

for June it is, $\frac{x}{3}$

for August, it is $2x$

If they removed less than 1000 tress in 3 months

$\Rightarrow \dfrac{x}{3}+x+2x$

So, maximum number of tress removed in July is 299

7 0

3 years ago

If line AD is a tangent to circle B at point C, and m ABC = 55°, what is the measure of BAD?

nikdorinn [45]

Answer:

145°

Step-by-step explanation:

There are a couple of ways you can get there:

1. ∠ACB is a right angle, 90°. Hence, ∠BAC is the complement of ∠ABC, so is ...

... ∠BAC = 90° -∠ABC = 90° -55° = 35°

Then, ∠BAC and ∠BAD are a linear pair, so total 180°. That makes ∠BAD the supplement of ∠BAC, so ...

... ∠BAD = 180° -35° = 145°

2. ∠BAD is the exterior angle at A for the triangle ABC. It will have a measure that is the sum of the opposite interior angles: given ∠ABC = 55° and right angle ACB = 90°.

... ∠BAD = 55° +90° = 145°

8 0

4 years ago

The graphs below have the same shape. What is the equation of the red graph?

Sveta_85 [38]

we have

$g(x)=4-x^{2}$

the vertex of the function g(x) is the point $(0,4)$

the vertex of the function f(x) is the point $(0,0)$

so

the rule of the translation of g(x) to f(x) is

(x,y)------> (x,y-4)

that means

the translation is $4$ units down

therefore

the equation of the function f(x) is

$f(x)=g(x)-4\\f(x)=(4- x^{2})-4 \\f(x)=- x^{2}$

therefore

<u>the answer is</u>

$f(x)=- x^{2}$

8 0

3 years ago

Read 2 more answers

How do I solve this number pattern 17,_,25,29,_

vagabundo [1.1K]

The relation between 25 and 29 is 4. Therefore, the next step down from 25 is 21. This also works with 17. Therefore, the second missing number is 33.

I hope I helped you with your solution! If you could give me brainliest, I would be very thankful!

8 0

4 years ago