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3 years ago

What is the point slope form of the line with slope 25 that passes through the point (−4, −7)?

Mathematics

2 answers:

vlada-n [284]3 years ago

7 0

Answer:

$y = mx + c \\ - 7 = - 4 \times 25 + c \\ - 7 = - 100 + c \\ c = - 7 + 100 \\ c = 93$

Jlenok [28]3 years ago

6 0

Answer:

y−7=25(x−4)

y+4=25(x+7)

y−4=25(x−7)

y+7=25(x+4)

it is one of those

Step-by-step explanation:

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Sav [38]

Answer:

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Step-by-step explanation:

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3 years ago

If you need 4 eggs to make 12 Yorkshire puddings. How many do you need to make 18

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3 years ago

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The truth table represents statements p, q, and r. p q r p ∧ q p ∧ r A T T T T T B T T F T F C T F T F T D T F F F F E F T T F F

maksim [4K]

The table shows the results of (p ^ q) and results of (p ^ r) for all possible outcomes. We have to tell which of the outcomes of union of both these events will always be true.

(p ^ q) V (p ^ r) means Union of (p ^ q) and (p ^ r). The property of Union of two sets/events is that it will be true if either one of the event or both the events are true i.e. there must be atleast one True(T) to make the Union of two sets to be True.

So, (p ^ q) V (p ^ r) will be TRUE, if either one of (p ^ q) and (p ^ r) or both are true. From the given table we can see that only the outcomes A, B and C will result is TRUE. The rest of the outcomes will all result in FALSE.

Therefore, the answer to this question is option 2nd

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3 years ago

A triangle has three sides 35cm 54 cm and 61 cm find its area Also find the smallest of its altitude

I am Lyosha [343]

Answer:

Area of given triangle is 939.15cm² and smallest altitude is 30.8cm

<h3>Solution:</h3>

We are given three sides of a triangle, Let the sides be :

( a ) = 35 cm

( b ) = 54 cm

( c ) = 61 cm

We can find the area of the triangle with its three sides using Heron's Formula

Heron's Formula

Heron's formula was founded by hero of Alexandria, for finding the area of triangle in terms of the length of its sides. Heron's formula can be written as:

$\sf{ \pmb { \longrightarrow \: \sqrt{s(s - a)(s - b)(s - c)} }}$

where ( s ) :

$\sf \longrightarrow s = \dfrac{a + b + c}{2}$

Therefore, for the given triangle first we will calculate ( s )

$\begin {aligned}\quad & \quad \longmapsto \sf s = \dfrac{a + b + c}{2} \\ & \quad \longmapsto \sf s = \dfrac{35 + 54 + 61}{2} \\ & \quad \longmapsto \sf s = \dfrac{150}{2} \\ & \quad \longmapsto \sf s = 75cm \end{aligned}$

Now, Area of triangle will be:

$\begin{aligned}&:\implies \sf\quad \sf \: A = \sqrt{s(s - a)(s - b)(s - c)} \\ &:\implies \sf\quad \sf \: A = \sqrt{75(75 - 35)(75 - 54)(75 - 61)} \\&:\implies \sf\quad \sf \: A = \sqrt{75 \times 40 \times 21 \times 14} \\ &:\implies \sf\quad \sf \: A = \sqrt{5 \times 5 \times 3 \times 3 \times 2 \times 2 \times 7 \times 7 \times 2 \times 2 \times 5} \\ &:\implies \sf\quad \sf \: A =5 \times 3 \times 2 \times 7 \times 2 \sqrt{5} \\ &:\implies \sf\quad \sf \: A =420 \times 2.23 \\ &:\implies \sf\quad \sf \boxed{ \pmb{ \sf A =939.15 {cm}^{2} }} \end{aligned}$

Also, we have to find the smallest altitude, and the smallest altitude will be on the longest side. So,

$\begin{aligned}&:\implies \sf\quad \sf \: Area =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times b \times h =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times 61 \times h = 939.15 \\&:\implies \sf\quad \sf \: h =939.15 \times \dfrac{2}{61} \\&:\implies \sf\quad \sf \: h = \dfrac{1818.3}{61} \\ &:\implies \sf\quad \boxed{ \pmb{\sf \: h =30.79 \: (approx)}} \end{aligned}$

3 0

2 years ago

Read 2 more answers

Someone pls help me plsss

Lelu [443]

Answer:

A) 2 5/12

Step-by-step explanation:

The word MORE refers to subtraction. If you know how to calculate fractions. Great! You should know what 2 3/4 - 1/3 equals. But if you do not:

You can use a regular calculator. Just convert everything to decimals. ( "/" means divide)

3/4 (3÷4) = 0.75 (dont forget the 2 since is has 2 3/4) so 2.75.

1/3 (1÷3) = 0.333 (underline or overline (above the number) means that number repeats. if you are using a calculator. just max the numbers out till you can put it anymore.

2.75 - 0.3 = 2.416. Now you dont know what that 416 is so just subtract the answers until it matches.

B) 1 ÷ 12 = 0.83. well it isnt 416 so that isnt right.

4 ÷ 7 = 0.571... (... means a bunch of numbers that go on and on.) again that isnt correct. Now lets try A):

5 ÷ 12 = 0.416!

Hope this helps!

~R3VO

6 0

3 years ago