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3 years ago

What is the length of a line segment that extends from (-3 , 4) to (4, 4)?

Mathematics

2 answers:

jeka57 [31]3 years ago

6 0

Answer:

the distance is 7

Step-by-step explanation:

Use the distance formula:

d=√ (4−(−3))2+(4−4)2

PolarNik [594]3 years ago

4 0

Answer:

Step-by-step explanation:

using the distance formula

√(4- -3)^2 + (4-4)^2

√49

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the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount

Yuki888 [10]

Answer:

Part a) The budget is $40

Part b) The cost of one gallon of gasoline is $3.55 and the cost of the car wash is $8

Part c) $x \leq 9.01\ gal$

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure

Part a) What is your budget?

The budget is given by the equation

y=40

therefore

The budget is $40

Part b) How much does a gallon of gasoline cost? how much does a car wash cost?

Let

y ------> the cost of a gallon of gasoline plus the cost of a car wash

x -----> the amount of gasoline in gallons

we have

y=3.55x+8

In this problem

For x=0

y=3.55(0)+8=8

The y-intercept is the cost of the car wash

The cost of the car wash is $8

Find the cost of one gallon of gasoline

we know that

The slope of the linear equation is

m=$3.55 per gallon

therefore

The cost of one gallon of gasoline is $3.55

Part c) Write an inequality that represent the possible amounts of gasoline you can buy

we have

$3.55x+8 \leq 40$

Solve for x

$3.55x \leq 40-8$

$3.55x \leq 32$

$x \leq 9.01\ gal$

Part d) Use the graph to estimate the solution of the inequality in part c)

we have the system

y=40

y=3.55x+8

The solution of the system is the intersection point both graphs

Looking at the graph the intersection point is about (9,40)

That means ----> The maximum amount of gasoline you can buy with the budget is about 9 gallons

7 0

3 years ago

Help me please I’m down baddddd

Pani-rosa [81]

Answer:

a. m<B = 100°

b. m<L = 55°

c. Scale factor = 9/11

Step-by-step explanation:

a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.

Since ∆ABC ~ ∆GLJ, therefore,

<A = <G,

<B = <J

<C = <L

m<J = 100° (given)

Therefore,

m<B = m<J = 100°

m<B = 100°

b) m<A = m<G

m<A = 25° (given)

Therefore,

m<A = m<G = 25°

m<G = 25°

m<L = 180° - (m<J + m<G)

Substitute

m<L = 180° - (100° + 25°)

m<L = 55°

c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle

Scale factor = AB/GJ

Substitute

Scale factor = 18/22

Simplify

Scale factor = 9/11

8 0

3 years ago

The difference of twice a number k and 8 is 12

laiz [17]

Answer:

k = 10

Step-by-step explanation:

Difference means subtract.

2k - 8 = 12

is how that statement is translated.

Add 8 to both sides.

2k - 8 + 8 = 12 + 8

2k = 20

Divide by 2

2k/2 = 20/2

k = 10

6 0

3 years ago

Help I’m stuck on this question I’ve been stuck on it for a while I can’t seem to figure it out please help for ten points

Naddika [18.5K]

Answer:

$\frac{1}{25}$

Step-by-step explanation:

I think what it is trying to say is that it wants the solution to multiplying all of those. The (...) simply means that it wants you to continue that pattern in what you are supposed to be multiplying, but stop at $\frac{24}{25}$ .

That would mean you are technically supposed to be multiplying:

$\frac{1}{2} \frac{2}{3} \frac{3}{4} \frac{4}{5} \frac{5}{6} \frac{6}{7} \frac{7}{8} \frac{8}{9} \frac{9}{10} \frac{10}{11} \frac{11}{12} \frac{12}{13} \frac{13}{14} \frac{14}{15} \frac{15}{16} \frac{16}{17} \frac{17}{18} \frac{18}{19} \frac{19}{20} \frac{20}{21} \frac{21}{22} \frac{22}{23} \frac{23}{24} \frac{24}{25}$

That is a lot and unfortunately, none of the individual fractions can be simplified within that. The final answer would be able to be simplified, though.

Multiplying the first four shown: $\frac{1}{2}\frac{2}{3} \frac{3}{4} \frac{4}{5}$ you end up with $\frac{24}{120}$ . Both the numerator (top) and the denominator (bottom) are divisible by 24. Dividing top and bottom would simplify this to $\frac{1}{5}$ .

Now, let's take the next four.

$\frac{5}{6}\frac{6}{7} \frac{7}{8} \frac{8}{9}$ allows you to end up with $\frac{1680}{3024}$ . Both the numerator (top) and the denominator (bottom) are divisible by 336. You are left with $\frac{5}{9}$ .

Now, let's take the next four.

$\frac{9}{10}\frac{10}{11} \frac{11}{12} \frac{12}{13}$ . Multiplying these gives you $\frac{11880}{17160}$ . Both the numerator (top) and the denominator (bottom) are divisible by 1320. You are left with $\frac{9}{13}$ .

Now, let's take the next four.

$\frac{13}{14}\frac{14}{15} \frac{15}{16} \frac{16}{17}$ . Multiplying these gives you $\frac{43680}{57120}$ . Both the numerator (top) and the denominator (bottom) are divisible by 3360. You are left with $\frac{13}{17}$ .

*<em> Although I would continue to say let's take the next four, there appears to be a pattern in the simplification. The numerators we have gotten have all been four less than their denominators, and each numerator has been four more than the last. I cannot be certain, but we only have two sets of four left. If this pattern continues, the simplifications of each should be $\frac{17}{21}$ and $\frac{21}{25}$ . I will continue on for argument's sake, anyways.</em>

The next four are $\frac{17}{18}\frac{18}{19} \frac{19}{20} \frac{20}{21}$ . Multiplying these, you are left with $\frac{116280}{143640}$ . Both the numerator (top) and the denominator (bottom) are divisible by 6840. We are left with $\frac{17}{21}$ . This is the exact guess I had made when following the pattern, and so the next one is most likely going to be the other guess as well.

Our final answer will be $\frac{1}{5}\frac{5}{9} \frac{9}{13} \frac{13}{17}\frac{17}{21} \frac{21}{25}$ all multiplied together. We end up with $\frac{208845}{5221125}$ . Both the numerator (top) and denominator (bottom) are divisible by 208845.

Simplified, your final answer is: $\frac{1}{25}$ .

* <u>NOTE:</u> that another way to solve this would just be to multiply all numbers from 1-24 together and then 2-25, but you would end up with a very large number that would be just as time consuming to simplify. To get the GCF fast, I used a GCF calculator.

6 0

3 years ago

HURRY WILL MARK BRAINLIEST AND SEND VIA CASHAPP 10 BUCKS!! which point on the numberline represents -1/3?!!! HURRY

Pani-rosa [81]

Answer:

the answer is c because if you look at the number line it is divided into 3 equal parts and b and c is before -1 but b is -2/3 and c is -1/3 so the answer is c

4 0

3 years ago

Read 2 more answers