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3 years ago

Identify the slope & y-intercept for the following equation: y=-5x-3

Mathematics

2 answers:

Nikitich [7]3 years ago

6 0

Answer:

slope: -5

y-intercept: -3

Step-by-step explanation:

Elena L [17]3 years ago

6 0

Answer:

Step-by-step explanation:

y=mx+b is the slope intercept form

m is your slope, b is your y-intercept

so we have y=-5x-3

your slope would be -5 and your y-intercept would be -3

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Write 2,670,000 in scientific notation.

hjlf

Scientific notation is just rewritten so that it has a single digit in front of the decimal and that this is multiplied by a power of ten that makes this decimal equal to the original number.

In this case we have 2.67 million. Well a million is equal to 10^6, because 10*10*10*10*10*10=one million.

So in scientific notation you would write:

2.67X10^6

5 0

2 years ago

Write an equation for the line passing through the points (-5,15) and (20,25). Show how you found your answer.

olasank [31]

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-5, 15) and (20, 25). substitute:

$m=\dfrac{25-15}{20-(-5)}=\dfrac{10}{25}=\dfrac{2}{5}\\\\y-15=\dfrac{2}{5}(x-(-5))\\\\y-15=\dfrac{2}{5}(x+5)\qquad|\text{use distributive property}\\\\y-15=\dfrac{2}{5}x+2\qquad|\text{add 15 from both sides}\\\\y=\dfrac{2}{5}x+17\qquad|\text{multiply both sides by 5}\\\\5y=2x+85\qquad|\text{subtract 2x from both sides}\\\\-2x+5y=85\qquad|\text{change the signs}\\\\2x-5y=-85$

Answer:

point-slope form: $y-15=\dfrac{2}{5}(x+5)$

slope-intercept form: $y=\dfrac{2}{5}x+17$

standard form: $2x-5y=-85$

7 0

3 years ago

One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm.

ikadub [295]

Answer:

$\boxed {\boxed {\sf 14.2 \ cm}}$

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.

$a^2+b^2=c^2$

where a and b are the legs and c is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:

a= 9 cm
b= 11 cm

Substitute these values into the formula.

$(9 \ cm)^{2} +(11 \ cm)^{2} =c^{2}$

Solve the exponents.

(9 cm)²= 9 cm*9 cm=81 cm²

$81 \ cm^{2} +(11 \ cm)^{2} =c^{2}$

(11 cm)²= 11 cm*11 cm= 121 cm²

$81 \ cm^{2} +121 cm^{2} =c^{2}$

Add the values on the left side.

$202 \ cm^{2} =c^{2}$

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

$\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }$

$\sqrt {202 \ cm^{2} }=c$

$14.2126704036 \ cm =c$

We are told to round to the nearest tenth.

14.2126704036

The 1 in the hundredth place tells us to leave the 2 in the tenth place.

$14.2 \ cm= c$

The hypotenuse is equal to 14.2 centimeters.

3 0

2 years ago

Write a system of equations that could be used to solve the situation described below.

attashe74 [19]

If there are 12 coins under the couch and every coin is either a nickel or a penny and together they are forming 32 cents then the equations which represent the problem will be x+y=12, 0.01x+0.05y=0.32. The correct option is B which is x+y=12, 0.01x+0.05y=0.32.

Given There are 12 coins and total money is 32 cents.

Let the number of pennies be x and the number of nickels be y.

According to question there are 12 coins so the first equation becomes:

x+y=12.

Then we have been told that together they amount to 32 cents.

We know that 1 penny is 1 cent coin and 1 nickel is 5 cent coin so the equation becomes :

1*x+5*x=32

x+5y=32

converting into dollar

0.01x+0.05y=0.32.

Hence the right equations showing the problem of nickel and pennies are x+y=12, 0.01x+0.05y=0.32.

Learn more about equations here brainly.com/question/2972832

#SPJ10

3 0

1 year ago

.48 ÷ 9.23 round to nearest tenth

Arisa [49]

The correct answer is
.05

3 0

2 years ago

Read 2 more answers