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3 years ago

What are the X - and y-intercepts of the equation 7x + 3y = 21 ?

Mathematics

1 answer:

VMariaS [17]3 years ago

4 0

Answer:

X intercept: -y

Y intercept: -x

I hope this correct and it helps!

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Find two positive even consecutive integers such that the square of the smaller integer is 10 more than the larger integer

mafiozo [28]

Answer:

the numbers are $4,6$

Step-by-step explanation:

Let

x-------> the smaller even consecutive integer

x+2-------> the larger even consecutive integer

we know that

$x^{2}=(x+2)+10$

solve for x

$x^{2}-x-12=0$

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-x-12=0$

$a=1\\b=-1\\c=-12$

substitute in the formula

$x=\frac{1(+/-)\sqrt{-1^{2}-4(1)(-12)}} {2(1)}$

$x=\frac{1(+/-)\sqrt{49}} {2}$

$x=\frac{1(+/-)7} {2}$

$x=\frac{1(+)7} {2}=4$ ------> the solution (must be positive)

$x=\frac{1(-)7} {2}=-3$

therefore

the numbers are $4,6$

5 0

3 years ago

I need help on my math homework

wolverine [178]

Write down equations what you know.

NML is 28x-1, this is the total angle.
NME is 5x-1, this is the small part of the angle
EML is 115, this is the large part of the angle

So,
NME + EML should equal NML
5x-1 + 115 = 28x-1
Solve for x
Add 1 both sides
5x+115 = 28x
Subtract 5x both sides
115 = 23x
Divide 23 both sides
X=5

7 0

3 years ago

The sum of three consecutive integers is 267. What is the largest integer?

Nata [24]

$n;\ n+1;\ n+2-the\ consecutive\ integers\\\\n+(n+1)+(n+2)=267\\\\n+n+1+n+2=267\\\\3n+3=267\ \ \ \ |subtract\ 3\ from\ both\ sides\\\\3n=264\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{n=88}\\\\last\ integer:n+2=88+2=90\\\\Answer:\fbox{90}$

5 0

3 years ago

What is the additive inverse of the polynomial –9xy2 + 6x2y – 5x3?

masya89 [10]

Additive inverse of 9xy² + 6x²y - 5x³

-1(9xy² + 6x²y - 5x³) ⇒ (-1)(9xy²) + (-1)(6x²y) + (-1)(-5x³)

<span>-9xy² - 6x²y + 5x³ is the additive inverse of the given polynomial.</span>

5 0

3 years ago

Read 2 more answers

Help with this problem

I am Lyosha [343]

Answer:

AB = 4 BC = 2 AC= 2√5

Step-by-step explanation:

Hope this helps!

5 0

3 years ago