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3 years ago

What is the first step in solving the equation 2/3×1/3+2=5?

Mathematics

1 answer:

telo118 [61]3 years ago

4 0

Answer: first step is \frac{2}{3}x\frac{1}{3}+2

Step-by-step explanation:

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Passing through (-2,1 ) and perpendicular to 4x + 7y + 3 = 0.

Lunna [17]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

========================================

Let

$k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2$

========================================

We have the equation of a line in a general form (Ax + By + C = 0)

Convert it to the slope-intercept form:

$4x+7y+3=0$ subtract 7y from both sides

$4x+3=-7y$ divide both sides by (-7)

$-\dfrac{4}{7}x-\dfrac{3}{7}=y\to m_1=-\dfrac{4}{7}$

Therefore

$m_2=-\dfrac{1}{-\frac{4}{7}}=\dfrac{7}{4}$

We have the equation:

$y=\dfrac{7}{4}x+b$

Put the coordinates of the point (-2, 1) to the equation, and solve for b :

$1=\dfrac{7}{4}(-2)+b$

$1=-\dfrac{7}{2}+b$ multiply both sides by 2

$2=-7+2b$ add 7 to both sides

$9=2b$ divide both sides by 2

[te]x\dfrac{9}{2}=b\to b=\dfrac{9}{2}[/tex]

Finally:

$y=\dfrac{7}{4}x+\dfrac{9}{2}$ - slope-intercept form

Convert to the general form:

$y=\dfrac{7}{4}x+\dfrac{9}{2}$ multiply both sides by 4

$4y=7x+18$ subtract 4y from both sides

$0=7x-4y+18$

6 0

3 years ago

Can you guys help me to find the measure of each angle tysm.

barxatty [35]

Answer:

∠EBF = 51°

∠DBE = 17°

∠ABF = 141°

∠EBA = 90°

∠DBC = 107°

∠DBF = 68°

Step-by-step explanation:

Hope this helps

7 0

3 years ago

Read 2 more answers

What is the measurement of the angle

Vadim26 [7]

I’m not sure wait ummm

7 0

3 years ago

Juan sells banana bread by weight. He cuts a 1-lb loaf of banana bread into 6 equal slices. He wants to complete the table showi

Westkost [7]

Answer:

0.1 $\frac{}{6}$

Step-by-step explanation:

When Juan cut a 1 lb loaf of banana bread into 6 slices, the weight of each slice forms a repeating decimal. A repeating decimal is a decimal number with repeating digit/s.

i.e $\frac{1}{6}$ = 0.166666666666666...

To express the total weight for each slice, he should write a bar over 6 to show that the number repeats.

i.e $\frac{1}{6}$ = 0.1 $\frac{}{6}$

Note that $\frac{}{6}$ has expressed that the division has 6 as the repeating digit in the decimal number.

4 0

3 years ago

A bag of backed chips advertises that it now has 1/4 fewer calories than the old recipe.What is the percent of calories were rem

Mrrafil [7]

Answer:

25%

1/4 * 25 = 25/100

25/100=25%

7 0

3 years ago

What is the first step in solving the equation 2/3×1/3+2=5?​

What is the first step in solving the equation 2/3×1/3+2=5?