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2 years ago

The slope of a line is 0, and the y-Intercept Is 6. What is the equation of the line written in slope-intercept form?

Mathematics

1 answer:

sdas [7]2 years ago

6 0

Answer:

y=6

Step-by-step explanation:

if a slope is 0 than its just y=b. I hope u have a good day

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Given the quadriatic equation

vazorg [7]

Answer:

⇒ The given quadratic equation is x2−kx+9=0, comparing it with ax2+bx+c=0

∴ We get, a=1b=−k,c=9

⇒ It is given that roots are real and distinct.

∴ b2−4ac>0

⇒ (−k)2−4(1)(9)>0

⇒ k2−36>0

⇒ k2>36

⇒ k>6 or k<−6

∴ We can see values of k given in question are correct.

8 0

2 years ago

The first term of a geometric sequence is 300 and the common ratio is 2 What is the 7th term of the sequence

xxMikexx [17]

Step-by-step explanation:

s1 = 300

s2 = s1 × 2 = 300 × 2 = 600

s3 = s2 × 2 = s1 × 2² = 1200

sn = sn-1 × 2 = s1 × 2^(n-1)

s7 = 300 × 2⁶ = 300 × 64 = 19,200

3 0

2 years ago

A car starts from an initial velocity of 10m/s and accelerates at 2.5m/s².how long will it take the car to reach a speed of 40m/

PIT_PIT [208]

A=(v-u)/t
We know a=2.5, v=40, u=10, so:
2.5=(40-10)/t
2.5t=40-10
2.5t=30
Divide both sides by 2.5
t=12 It takes 12 seconds for the car to reach 40m/s

To find out how far it went, you do:
d=v+1/2 at^2
d=10+1/2(2.5)(12)^2
d=10+1/2(2.5)(144)
d=10+(1.25)(72)
d=10+90
d=100m

Hope this helps :)

7 0

3 years ago

Simplify the expression, only odds 9-17

Elodia [21]

All exercises involve the same concept, so I'll show you how to do the first, then you can apply the exact same logic to all the others.

The first thing you need to know is that, when a certain quantity multiplies a parenthesis, you can distribute that number to every element in the parenthesis. This means that

$a(b+c) = ab+ac$

So, $a$ is multiplying the parenthesis involving $b$ and $c$ , and we distributed it: $a$ multiplies both $b$ and $c$ in the final result.

Secondly, you have to know how to recognize like terms, because they are the only terms you can sum. Two terms can be summed if they have the same literal expression. So, for example, you cannot sum $3x+2y$ , and neither $5x^2-4x$ exponents count.

But you can su, for example,

$5x-3x = (5-3)x = 2x$

$23xy^2z^6 - 17xy^2z^6 = 6xy^2z^6$

So, take for example exercise 9:

$1.2(7x-5y) - (10y-4.3x)$

We distribute the 1.2 through the first parenthesis:

$1.2(7x-5y) = 1.2 \cdot 7x - 1.2 \cdot 5y = 8.4x-6y$

And you can distribute the negative sign through the second parenthesis (it counts as a -1 to distribute):

$- (10y-4.3x) = -10y+4.3x$

So, the expression becomes

$8.4x-6y-10y+4.3x$

Now sum like terms:

$(8.4+4.3)x + (-6-10)y = 12.7x - 16y$

7 0

3 years ago

What is the value of x in the figure Pls help

Murljashka [212]

Answer: x=18

im assuming that this is a right angle

so if it is then that means the total of the angle should be 90 degrees. so 2x+3x should be equal to 90. Just combine like terms to get that 5x=90 and then isolate the variable (divide by 5 on both sides) so x ends up equaling 18.

so x=18

7 0

3 years ago