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drek231 [11]
3 years ago
11

Write the equation of the line that passes through (3, –2) and has a slope of 4 in point-slope form.

Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0
A. would be y=4x-14
B. would be y=4x+11
C. would be y=x/4 - 11/4
D. would be y=x/4 + 7/2
Hope this helps! :)
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Mary wants to fill a cylindrical cup with water. The dimensions of the cup are labeled below.
LUCKY_DIMON [66]

\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h=15 \end{cases}\implies \begin{array}{llll} V=\pi (6)^2(15)\implies V=540\pi \\\\\\ V\approx 1696.46 \end{array}


notice, the cup can take that much in cm³, so it can surely take 1620 just fine.

7 0
4 years ago
Read 2 more answers
Show that each of these conditional statements is a tautology by using truth tables. a) [¬p ∧ (p ∨ q)] → q b) [(p → q) ∧ (q → r)
nlexa [21]

Step-by-step explanation:

To show that a statement is a tautology using truth table - is to show that all the entries in the expression are truths T.

We can do this by taking each statement, expression by expression. For example, to show that

[~p ∧ (p ∨ q)] → q

is a tautology, knowing we have 3 columns, we have 2^3 = 8 rows. We start by putting putting truth values for p, q, and r respectively

Next, we find ~p, then find (p ∨ q), then find ~p ∧ (p ∨ q), before finally arriving at the required [~p ∧ (p ∨ q)] → q

TERMINOLOGIES AND SYMBOLS

- T means Truth

- F means False

- ~p means negation of p.

~p is F if p is T, and vice versa

- ∧ means conjunction.

p ∧ q is T only if p is T and q is T.

- ∨ means disjunction.

p ∨ q is T if either p or q is T.

- → is for conditional 'if then'

p → q is T if both p and q are T, or both p and q are F, or p is F and q is T, otherwise, it is F.

THE STEP BY STEP WORKINGS FOR THE STATEMENTS GIVEN ARE IN THE ATTACHMENT.

8 0
3 years ago
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For $7.52, you purchased 8 pens and highlighters from a local bookstore. Each highlighter costs $1.09 and each pen costs $.69. H
r-ruslan [8.4K]
P=number of pens
h=number of highlighters

p+h=8

1.09h+0.69p=752


p+h=8
minus h from both sides
p=8-h

sub that for p

1.09h+0.69(8-h)=7.52
1.09h+5.52-0.69h=7.52
0.4h+5.52=7.52
minus 5.52 from both sides
0.4h=2
divide both sides by 0.4
h=5

sub back

h=8-p
5=8-p
minus 8 frm both sides
-3=-p
mltiply both sides by -1
3=p



3 pens you bought

6 0
3 years ago
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The arc measure of AB is 74 degrees, What is the Arc measure of CD.
Sergeeva-Olga [200]

Answer: 23

Step-by-step explanation:

5 0
3 years ago
Which shows the steps for performing long division in the correct order?
AveGali [126]

Answer:

divide, multiply, subtract, repeat

Step-by-step explanation:

first you divide  then multiply subtract and repeat and then you will get your Answers

3 0
3 years ago
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