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2 years ago

Use the image below, answer the following questions. Be sure to answer all 3 questions in order.

Mathematics

1 answer:

Nastasia [14]2 years ago

3 0

Answer:

a. Yes

b. VT

c. Segment RQ

Step-by-step explanation:

a. Find the slope of RS and UV

Slope = rise/run

Slope of RS = rise/run = RQ/QS

Slope of RS = 6/6

Slope of RS = 1

Slope of UV = rise/run = UT/TV

Slope of UV = 3/3

Slope of UV = 1

Thus, TS and UV have equivalent slopes

b. Slope of VT:

VT is an horizontal line.

It has no rise. But only run.

Therefore, it's rise = 0, while run = VT = 3

Slope of VT = rise/run = 0/3

Slope of VT = 0

c. Vertical lines have undefined slope.

Segment RQ is vertical line and therefore has an undefined slope.

RQ has rise but no run.

Thus:

Rise = 6

Run = 0

Slope of Segment RQ = 6/0 (this can't divide)

Therefore, slope of Segment RQ is undefined.

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Cal is measuring temperature changes in four substances over different time periods as part of a school project. Which data show

djyliett [7]

Answer:

C) The third table. K= 5

$C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5$

Step-by-step explanation:

1) Below there are the missing data:

A proportional relationship through a constant k. It is obtained when we divide:

$k=\frac{y}{x}$

2)In this case, when we divide the temperature (T) by the time (h).

$k=\frac{T}{h}$

3)So, examining the table below we are searching for a ratio k common to all measures (temperatures over hour).

$A) \frac{12}{3}\neq\frac{25}{5}\neq\frac{36}{6}\neq\frac{81}{9}\\B) \frac{22.5}{3}\neq\frac{30}{4}\neq\frac{52.5}{7}\neq\frac{67.5}{8}\\C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5\\D)\frac{8.5}{2}\neq\frac{22.5}{5}\neq\frac{28.5}{7}\neq\frac{36}{8}$

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3 years ago

If f is a function that f(f(x)) = 2x² + 1, which is the value of f(f(f(f(3)))? Please help!

Sloan [31]

$f(f(3))=2\cdot3^2+1=19\\f(f(f(f(3))))=2\cdot19^2+1=723$

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3 years ago

Tell whether (3,5) is a solution of y = 5x – 10.

Ivanshal [37]

Answer:

yes it is

Step-by-step explanation:

plug x and y in

3 * 5 - 10 = 5 <== And this is true

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2 years ago

Read 2 more answers

Given the point A(-3,-2) and B(6,1), select two possible locations for point P so that P partitions AB in the ratio 2:1

natta225 [31]

Answer: (0,3) & (0,-1)

Step-by-step explanation:

7 0

3 years ago

What is the sum of the expressions (2/3x −7)+(1/3 x+5)?

Anit [1.1K]

The answer is

Final result :

x - 2
Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

2 1
((—•x)-7)+((—•x)+5)
3 3
Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

5 5 • 3
5 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x + 5 • 3 x + 15
————————— = ——————
3 3
Equation at the end of step 2 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 3 :

2
Simplify —
3
Equation at the end of step 3 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

7 7 • 3
7 = — = —————
1 3
Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

2x - (7 • 3) 2x - 21
———————————— = ———————
3 3
Equation at the end of step 4 :

(2x - 21) (x + 15)
————————— + ————————
3 3
Step 5 :

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(2x-21) + (x+15) 3x - 6
———————————————— = ——————
3 3
Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

3x - 6 = 3 • (x - 2)

Final result :

x - 2

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Hope This Helps! :)

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2 years ago