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3 years ago

11

Evaluate the following: 42 ÷ (3 + 1).

2 answers:

GalinKa [24]3 years ago

4 0

Answer:

1

Step-by-step explanation:

4^2 =16 so

16 / (3+1)

3+1 = 4

16 / 4

= 1

shusha [124]3 years ago

3 0

The sum of y and 7 is y+7
42 divided by (3+1) simplifies to 42 divided by 4 which equals 10.5

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11.Find the missing value given the rate of change.(2,6) and (x, 10) m = 4

Anvisha [2.4K]

The missing value x=3 is obtained by the concept of slope in coordinate geometry.

<h3>What is slope?</h3>

Positive or negative rates of change are both possible. Since the slope of a line is determined by the ratio of the vertical and horizontal change between any two locations on a plane or line, the slope is determined by the rise to run ratio. Where, Rise is the difference in elevation between two points. The horizontal shift between two places is known as a run.

Formula of slope = $\frac{y2-y1}{x2-x1}$ (equation 1)

According to the question the coordinates are: xi=2, x2=x, y1=6, y2=10

Given, rate of change=4 (here rate of change=slope)

Putting all coordinates in equation 1

Slope= $\frac{10-6}{x-2}$

4=4/x-2

x-2=1

x=3

Therefore, the missing value x=3

To know more about slope visit:

brainly.com/question/3605446

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4 0

1 year ago

I need help on this!!!

Shalnov [3]

Answer: 1

Step-by-step explanation:

8 0

3 years ago

Mary sent out invitations to her wedding last week. The invitations were heavy, so put more than just one stamp on each envelope

Aleksandr [31]

Answer:

she used 3 on each

Step-by-step explanation:

255/85=3

8 0

4 years ago

Prove using the Pythagorean theorem that AC is perpendicular to AB given points ????(−2, −2), ????(5, −2), and

Tems11 [23]

Answer:

$(BC)^2=(AC)^2+(AB)^2$ . It means AC is perpendicular to AB.

Step-by-step explanation:

Vertices of given triangle are A(−2, −2), B(5, −2), and C(−2,22).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula we get

$AB=\sqrt{(5-(-2))^2+(-2-(-2))^2}=\sqrt{7^2}=7$

$BC=\sqrt{(-2-5)^2+(22-(-2))^2}=\sqrt{7^2+24^2}=\sqrt{625}=25$

$AC=\sqrt{(-2-(-2))^2+(22-(-2))^2}=\sqrt{24^2}=24$

According to Pythagoras theorem

$hypotenuse^2=perpendicular^2+base^2$

$(BC)^2=(AC)^2+(AB)^2$

Perpendicular = AC

Base = AB

It means AC is perpendicular to AB.

Hence proved.

5 0

3 years ago

Where do comparison using<,> to show the relationship between |-2/3| and -5/6

Dmitrij [34]

-5/6 <-2/3 would be your answer

hope this helps

4 0

3 years ago