Solve the inequality:
-3t+9 > -21
O t< -10
o t < 10
O t> -10
O t > 10

Answer:

15 units

Step-by-step explanation:

[tex]distance formula =\sqrt{(x_{2} -x_{1} )^{2} + (y_2 -y1)^{2} } } \\[/tex]

[tex]x_{1} = -2\\x_{2} = -14\\y_{1} = -5\\y_{2} = 4[/tex]

[tex]distance\\= \sqrt{(-14 - -2)^{2} + (4 - -5)^2 } \\= \sqrt{(-12)^2 + (9)^2} \\= \sqrt{144 + 81} \\= \sqrt{225} \\= 15\\Thus distance between the two points (-2,-5) and (-14,4) = 15 units[/tex]

Hope it helps....

Given:

The graph of a triangle ABC.

A line is parallel to AC and passes through the point D.

To find:

The point at which the intersection of this parallel line be with the line BC.

Solution:

From the given figure it is clear that A(1,7), B(9,7), C(9,1) and D(5,7).

Slope of AC is

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\dfrac{1-7}{9-1}[/tex]

[tex]Slope=\dfrac{-6}{8}[/tex]

[tex]Slope=\dfrac{-3}{4}[/tex]

Slope of parallel lines are same. So, the slope of parallel line is also [tex]-\dfrac{3}{4}[/tex].

The parallel line passes through D(5,7) with slope [tex]-\dfrac{3}{4}[/tex]. So, the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-7=-\dfrac{3}{4}(x-5)[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{15}{4}+7[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{28+15}{4}[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{43}{4}[/tex]              ...(i)

From the given graph it is clear that the line BC is a vertical line. So, the x-coordinates of all the points lie on BC are the same, i.e., 9.

Putting x=9, we get

[tex]y=-\dfrac{3}{4}(9)+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{-27}{4}+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{16}{4}[/tex]

[tex]y=4[/tex]

Therefore, the point at which the intersection of this parallel line be with the line BC is (9,4).

Answer:

7550 meter square

= 130 x 20

= 2600 meter square

1/2 x (130-20)m x (130-40)m

1/2 x 110m x 90m

55 x 90

4950 metre square

area of rectangle + area of triangle

4950 + 2600

7550 meter square

Answer:

The answer is 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x - 5 = y

6 - 5 = 1

Hope that helps!

Answer:

1/8

Step-by-step explanation:

What we wanna do first is make all denominators the same. Multiply 3/4 by 2/2 and 1/2 by 4/4. This will get you 6/8 and 4/8. Now we have all the fractions:

6/8. 4/8, 7/8

We know Jack ate 7/8 of his pizza, so there's 1/8 pizza left for him.

Luis ate 3/4, which became 6/8, so there's 2/8 of pizza left.

Tyrone ate 1/2 of his pizza, which is 4/8, so there is 4/8 left.

Add: 1/8 + 2/8 + 4/8 = 7/8

This means that there is 1/8 slice left because 7/8 of the whole pizza was eaten.

Answer:

Step-by-step explanation:

For this question, it's C

Answer:

Step-by-step explanation:

23-92 = -69

-69/92 = -0.75 = -75%

Answer:

A counter clockwise

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

two e with a total of 9 letters

Answer:

123 km/h

Step-by-step explanation:

the formula for the unit rate would be 82/40

82 divided by 40 is 2.05km/m

Then you have to convert 2.05 km/m to km/h

multiply 2.05 times 60 and your answer is 123 km/h

Answer: 123 km/h

Step-by-step explanation:

each one would be two and a half inches

Answer:

1 if u cut  all of them in half

Step-by-step explanation:

Answer:

196 m2

Step-by-step explanation:

Answer:

The area of the square ABCD with side of 14m

is 196 m²

Step-by-step explanation:

Area = a*a = 14 x 14 = 196 m²

a is side

Answer:

2z + 5

Step-by-step explanation:

you have to combine like terms

subtract 4z - 2z and you get 2z

the number with the variable next to it goes first not the constant

2z + 5

the variable is z and the constant is 5 because it doesn't have variable next to it

hope this makes sense and helps :)

tell me if you have any questions

Step-by-step explanation:

Here as the like terms only are 4z and -2z so,

We simplify the like terms:

5 + 4z - 2z. [B.O.D.M.A.S rule] (subtraction only)

= 5 + 2z (Ans)

Answer:

125 cubic cm

Step-by-step explanation:

Length^2 = 25 so each side length is 5cm

5^3 = 125 cubic cm

Answer:

my anm,e is andrew and i dont have a job :/

Step-by-step explanation:

Answer:  

x + y ≤ 5

14x + 18y ≥ 100

Step-by-step explanation:

just trust me

never trust strangers

Answer:

See the attached document

Answer: $14.

Step-by-step explanation: 100 cents is equal to 1 dollar. 1400 cents divided by 100 cents = 14. Therefore, you have 14 dollars.

Answer:

E.

H0 : mu D = 0

Ha : mu d < 0

Step-by-step explanation:

The hypothesis is to test if there is a reduction in blood pressure for those who complete the program, this means if the mean difference in blood pressure (that is after - before) is less than 0. Here, the hypothesis is the alternative side while the opposite, that is, there is no difference in blood pressure before and after is the null.

This means :

H0 : μD = 0

Ha : μD < 0

You can use the definitions for null and alternate hypotheses  

The correct set of hypothesis is given by:

Option E.  [tex]H_0: \mu_D = 0[/tex]

[tex]H_a: \mu_D < 0[/tex]

There are two hypotheses. First one is  called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.

Null hypothesis is the one which researchers try to disprove.

Since the test is to test the effectiveness of the exercise program, thus the wish of the tester is to get the result that effectiveness is there. This will be the alternate hypothesis and the null hypothesis will be that there is no difference in the blood pressure before and after the exercise. Thus, we will test against the null hypothesis.

Since the evidence is to be found for all of the people who completed the program, thus it is hypothesis about population perimeter. The average blood pressure difference of the population is denoted by [tex]\mu_D[/tex] and that of the sample is denoted by [tex]\overline{x}_D[/tex]

Thus, we have:

Null hypothesis = the difference in average blood pressure before and after the program of the population is not changed(thus 0 is the difference) = [tex]H_0: \mu_D = 0[/tex]

Alternate hypothesis = the difference in average blood pressure is reduced(since the test is for seeing if the blood pressure is reduced or not) = [tex]H_a: \mu_D < 0[/tex]

Thus,

The correct set of hypothesis is given by:

Option E.  [tex]H_0: \mu_D = 0[/tex]

[tex]H_a: \mu_D < 0[/tex]

Learn more about null and alternative hypothesis here:

https://brainly.com/question/18831983

Answer:

-180000

Step-by-step explanation:

Answer:

3-9= the number of people who at chicken wings and the number of people who ate chicken wings were 2. By the way i dont know if did my math absolutley correct. sry:(

Answer:

36

Step-by-step explanation:

If I understood your question right, it means that Reina wants to put equal amounts of fruits into the bag. Also it suggests that the volume of the bag is not limited.

Since 36 < 40 < 48, the largest amount of each kind of fruits in the bag can be 36. Otherwise Reina wouldn't be able to put more chinos and the amount of each fruit in the bag wouldn't be equal.

Assuming that the smallest amount of fruits in the bag is one (the bag is not empty), there are 36 possible numbers (from 1 to 36) of each fruit.

Answer:

ᴀ.)

Step-by-step explanation:

Hope you get it right!! :)