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2 years ago

What is the equation of the line that passes through the point -8, 0 and has the slope of -1 / 4

Mathematics

2 answers:

defon2 years ago

6 0

Answer:

y = -1/4x - 2

Step-by-step explanation:

y = mx + b

0 = -1/4(-8) + b

0 = 2 + b, therefore b = -2

y = -1/4x - 2

svetlana [45]2 years ago

4 0

Answer:

y=-1/4x-8

Step-by-step explanation:

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Students in Miss Moseley's fourth grade class are learning multiplication, and they demonstrate mastery by passing assessments.

blagie [28]

Answer:
Each will have passed 17 tests and it will take 3 weeks.

Explanation: 
Let x be the number of weeks.
The number of tests Travis passes to begin with is 11.
We then add 2 tests per week, or 2x to that, giving us:
11+2x.

The number of tests Jenifer has passed to begin with is 2.
We then add 5 tests per week, or 5x to that, giving us:
2+5x.

Setting these equal, we have: 
11+2x=2+5x.

Subtract 2x from each side: 
11+2x-2x=2+5x-2x;
11=2+3x.

Subtract 2 from each side: 
11-2=2+3x-2;
9=3x.

Divide both sides by 3:
 $\frac{9}{3} = \frac{3x}{3}$ ;
3=x.

It will take 3 weeks.
In 3 weeks,
Travis will have passed:
11+2*3 = 11+6 = 17 tests.
Jenifer will have passed the same number, since she catches up with him at this point.

6 0

2 years ago

Read 2 more answers

Solve the inequality. Graph the solution on a number line. 7 ≥ t/-2

Elodia [21]

$t\geq -14$

The graph is shown in the figure attached.

Step-by-step explanation:

We need to solve the inequality $7\geq \frac{t}{-2}$ and graph the solution.

Solving the inequality: $7\geq \frac{t}{-2}$

Switch sides and reverse the inequality:

$\frac{t}{-2}\leq 7$

Multiplying both sides by -2 and reverse the inequality

$-2\frac{t}{-2}\geq 7*-2$

$t\geq -14$

The graph is shown in the figure attached.

Keywords: Graph the inequality

Learn more about Graph the inequality at:

brainly.com/question/1626676

brainly.com/question/2840217

brainly.com/question/6703816

#learnwithBrainly

7 0

2 years ago

What is the greatest common factor of 18 and 45

lisov135 [29]

The prime factorization of 18 is: 2 x 3 x 3.
The prime factorization of 45 is: 3 x 3 x 5.
The prime factors and multiplicities 18 and 45 have in common are: 3 x 3.
3 x 3 is the gcf of 18 and 45.
gcf(18,45) = 9.

5 0

2 years ago

A cell phone company charges a flat Rate of 4.75 per month with an additional charge .19 per minute. How many minutes did alexan

mote1985 [20]

Answer:The number of minutes that Alexandra talked on her cell phone is 120

Step-by-step explanation:

A cell phone company charges a flat rate of 4.75 per month with an additional charge 0.19 per minute. Assuming the total number of minutes of call made for the month is represented by x and the total cost of x minutes of call is y, then

y = 0.19x + 4.75

To determine how many minutes that Alexandra talked on her cell phone if his monthly bill was 27.55, we would substitute y = 27.55 into the equation. It becomes

27.55 = 0.19x + 4.75

0.19x = 27.55 - 4.75 = 22.8

x = 22.8/0.19 = 120 minutes.

8 0

2 years ago

Calculate the length of sides triangle pqr and determine weather or not triangle is a right angled. P(-4,6) q(6,1) r(2,9)

Tom [10]

$\bold{\huge{\underline{ Solution }}}$

<h3>Given :-</h3>

We have given the coordinates of the triangle PQR that is P(-4,6) , Q(6,1) and R(2,9)

We have to calculate the length of the sides of given triangle and also we have to determine whether it is right angled triangle or not

<h3>Let's Begin :-</h3>

Here, we have 

Coordinates of P =( x1 = -4 , y1 = 6)
Coordinates of Q = ( x2 = 6 , y2 = 1 )
Coordinates of R = ( x3 = 2 , y3 = 9 )

By using distance formula 

$\pink{\bigstar}\boxed{\sf{Distance=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2\;}}}$

Subsitute the required values in the above formula :-

Length of side PQ

$\sf{ = }{\sf\sqrt{ (6 - (-4))^{2} + (1 - 6)^{2}}}$

$\sf{ = }{\sf\sqrt{ (6 + 4 )^{2} + (- 5)^{2}}}$

$\sf{ = }{\sf\sqrt{ (10)^{2} + (- 5)^{2}}}$

$\sf{ = }{\sf\sqrt{ 100 + 25 }}$

$\sf{ = }{\sf\sqrt{ 125 }}$

$\sf{ = 5 }{\sf\sqrt{ 5 }}$

Length of QR

$\sf{ = }{\sf\sqrt{(2 - 6)^{2} + (9 - 1)^{2}}}$

$\sf{ = }{\sf\sqrt{(- 4 )^{2} + (8)^{2}}}$

$\sf{ = }{\sf\sqrt{16 + 64 }}$

$\sf{ = }{\sf\sqrt{80 }}$

$\sf{ = 4 }{\sf\sqrt{5 }}$

Length of RP

$\sf{ = }{\sf\sqrt{ (-4 - 2 )^{2} + (6 - 9)^{2}}}$

$\sf{ = }{\sf\sqrt{ (-6 )^{2} + (-3)^{2}}}$

$\sf{ = }{\sf\sqrt{ 36 + 9 }}$

$\sf{ = }{\sf\sqrt{ 45 }}$

$\sf{ = 3}{\sf\sqrt{ 5 }}$

We have to determine whether the triangle PQR is right angled triangle

<h3>Therefore, </h3>

By using Pythagoras theorem :-

Pythagoras theorem states that the sum of squares of two sides that is sum of squares of 2 smaller sides of triangle is equal to the square of hypotenuse that is square of longest side of triangle

That is,

$\bold{ PQ^{2} + QR^{2} = PR^{2}}$

Subsitute the required values,

$\bold{ 125 + 80 = 45 }$

$\bold{ 205 = 45 }$

From above we can conclude that,

The triangle PQR is not a right angled triangle because 205 ≠ 45 .

6 0

2 years ago