All categories

1 year ago

Write an equation of the line that passes through point P and is parallelto the line with the given equation.P(-2, 1), 10x + 4y

= -8

Mathematics

1 answer:

Klio2033 [76]1 year ago

5 0

$\begin{gathered} 10x+4y=-8 \\ 4y=-10x-8 \\ y=-\frac{10}{4}x-2 \\ \text{The slope is m=-}\frac{10}{4} \\ \text{The new equation is-} \\ y-1=-\frac{10}{4}(x+2) \\ 4y-4=-10x-20 \\ 4y=-10x-16 \\ y=-\frac{10}{4}x-4\text{ (equation)} \\ \\ m=-\frac{10}{4} \\ b=-16 \end{gathered}$

You might be interested in

Simplify this: log√24+ log6

Kitty [74]

simplifying $log\sqrt{24}+log6$ we get $log(12\sqrt{6})$

Step-by-step explanation:

We need to simplify: $log\sqrt{24}+log6$

Solving:

Applying the rule:

log a + log b = log(ab)

$log\sqrt{24}+log6\\=log(6\sqrt{24})\\\sqrt{24} = \sqrt{2*2*2*3} =\sqrt{2^2*6} =\sqrt{2^2} \sqrt{6}=2\sqrt{6}\\ Putting\,\,value:\\=log(6*2\sqrt{6})\\=log(12\sqrt{6})$

So, simplifying $log\sqrt{24}+log6$ we get $log(12\sqrt{6})$

Keywords: Simplifying Logarithms

Learn more about Simplifying Logarithms at:

#learnwithBrainly

3 0

3 years ago

Really need help Five less than twice what negative number squared is 157?

Cerrena [4.2K]

Answer:

-9

Step-by-step explanation:

2(-x)² - 5 = 157

2x² - 5 = 157

add 5 to each side of the equation:

2x² = 162

divide both sides by 2:

x² = 81

√81 = 9 or -9

5 0

3 years ago

In an old story, a man puts 2 grains of rice on the first space of a chess board. He puts 4 grains on the second space, 8 grains

denis23 [38]

We know that
a1----------> grains of rice in the first square
a1=2
n------------> space ubication
the expressions is
an=a1^n----------> an=2^n

for the the tenth space n=10
an=2^10---------> an=1024 grains of rice

the answer is
1024 grains of rice

5 0

3 years ago

Read 2 more answers

Each month for 6 months Kelsey completes5 painting how many more paintings does she need to complete before she has completed 38

MatroZZZ [7]

8 more paintings (6 times 5, minus 38)

7 0

3 years ago

Is 4,3,2,1 arithmetic or geometric

sesenic [268]

Answer:

Arithmetic

Step-by-step explanation:

A sequence is a set of numbers, called terms, arranged in some particular order. An arithmetic sequence is a sequence with the difference between two consecutive terms constant

8 0

3 years ago

Read 2 more answers