Translate the sentence into an equation. Two more than the product of a number and 4 is equal to 7.

line passes through the point (-3,-4) and its y-intercept is (o, -9). What is the equation of the line that is parallel to the f

12345 [234]

Answer:

$y=-\frac{5}{3}x-2$

Step-by-step explanation:

The first line has a slope of -5/3 found using the points in the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1} =\frac{-9--4}{0--3}=\frac{-9+4}{0+3}=\frac{-5}{3}$

Parallel lines have the same slope. So -5/3 is the slope of the second line. Write its equation using the point slope form $y-y_1=m(x-x_1)$ .

$y--7=-\frac{5}{3}(x-3)\\y+7 = -\frac{5}{3}(x-3)\\y=-\frac{5}{3}x + 5 -7\\y=-\frac{5}{3}x-2$

7 0

3 years ago

What is the VARIABLE in the expression 8p - 5?*

Aleksandr-060686 [28]

Answer:

p is the variable

Step-by-step explanation:

a variable is a letter that represents an unspecified number.

8 0

3 years ago

Read 2 more answers

Helpp!!<br> Simplify : [( 4 1/6 + 2 1/3 ) ÷ 4 1/3 ] - 1 1/2

Nadusha1986 [10]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{0}}}}}$

Step-by-step explanation:

$\sf{ [ (4 \frac{1}{6} + 2 \frac{1}{3} ) \div 4 \frac{1}{3}] - 1\frac{1}{2} }$

Convert the mixed numbers into improper fraction

$\longrightarrow{ \sf{ [ ( \frac{25}{6} + \frac{7}{3} ) \div \frac{13}{3}] - \frac{3}{2}}}$

Add the fractions : 25 / 6 and 7 / 3

While performing addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fraction.

To do so, first take the L.C.M of 6 and 3 which results to 6

$\longrightarrow\sf{ [( \frac{25 + 7 \times 2}{6} ) \div \frac{13}{3} ] - \frac{3}{2}}$

$\longrightarrow{ \sf{ [( \frac{25 + 14}{6} ) \div \frac{13}{3} ] - \frac{3}{2} }}$

$\longrightarrow{ \sf{ [ \frac{39}{6} \div \frac{13}{3}] - \frac{3}{2} }}$

Multiply the dividend by the reciprocal of the divisor.

Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator

$\longrightarrow{ \sf{ [ \frac{39}{6} \times \frac{3}{13} ] - \frac{3}{2}}}$

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

$\longrightarrow{ \sf{ [ \frac{39 \times 3}{6 \times 13} ] - \frac{3}{2}}}$

$\longrightarrow{ \sf{ [ \frac{117}{78} ] - \frac{3}{2} }}$

$\longrightarrow{ \sf{ \frac{3}{2} - \frac{3}{2} }}$

While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same

$\longrightarrow{ \sf{ \frac{3 - 3}{2} }}$

Subtract 3 from 3

$\longrightarrow{ \sf{ \frac{0}{2}}}$

Divide 0 by 2

$\longrightarrow{ \sf{0}}$

Hope I helped!

Best regards!

3 0

3 years ago

Given: m || n , <1 is congruent to <3 <br> Prove: p || q

prisoha [69]

I would need see what your choices are to give exact answers, but I think the main idea here is to see that angles 1 and 3 are the same, and since the alternate interior angle theorem states parallel lines through a line, or another set of parallel lines, form equal angles on those positions, the lines that form those angles, p and q, must be parallel.

3 0

3 years ago

Read 2 more answers

Step by step help for 17.5x2.48

kherson [118]

Start by writing it out like this:
17.50
<u>* 2.48 </u>
Make sure that all the places are in correct order. Notice that I added a ZERO in the place that had nothing there.
Move the decimal point so everything is a whole number. You have moved it 4 times.
Now, starting from 8, multiply it by 0, then 5, then 7, and lastly, 1. Now go to the next number (4) and do the same, this time though, put a zero in the first spot. Every new number, add another zero.
After you are done, add them up. Now move the decimal point starting from the right and into the number 4 times. Take out the zeros.
Your answer should be: 43.4

8 0

3 years ago