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2 years ago

7

Write three numbers that have GCF of 7

2 answers:

Galina-37 [17]2 years ago

7 0

Answer:

21, 35 , 49

Step-by-step explanation:

21 = 3 * 7

35 = 5 * 7

49 = 7 * 7

GCF = 7

xeze [42]2 years ago

6 0

21,35,49 more s the answer of the 3 GCF of 7

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The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w

raketka [301]

Answer:

61

Step-by-step explanation:

Let's find the points $A$ and $B$ .

We know that the $y$ -coordinates of both are $3$ .

So let's first solve:

$3=4x^2+x-1$

Subtract 3 on both sides:

$0=4x^2+x-1-3$

Simplify:

$0=4x^2+x-4$

I'm going to use the quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , to solve.

We must first compare to the quadratic equation, $ax^2+bx+c=0$ .

$a=4$

$b=1$

$c=-4$

$\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}$

$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .

So that is, the distance between $A$ and $B$ is:

$\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}$

$\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}$

$\frac{2\sqrt{65}}{8}$

$\frac{\sqrt{65}}{4}$

If we compare this to $\frac{\sqrt{m}}{n}$ , we should see that:

$m=65 \text{ and } n=4$ .

So $m-n=65-4=61$ .

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2 years ago

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1. Katie buys a bag of cat food that contains 8 cups of dry food. She feeds her cat, Elmer, of a cup of food

Makovka662 [10]

Answer:

Step-by-step explanation:

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2 years ago

Teague is participating in a 50K run to raise money for a charity. He has already raised $102 and will receive $1.40 for each ki

astra-53 [7]

Answer:

Step-by-step explanation:

Equation : 165 = 102 + 1.4K

Define: K is # of kilometers

Solve: 63 = 1.4k, so k = 45

Final answer: 45 kilometers

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2 years ago

What value of a makes the equation true 30/45=6/a

rusak2 [61]

As you know 30/45 = 6/9
So a = 9 makes the equation true

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3 years ago

48 é dividido por 4?

Fofino [41]

La respuesta es doce 12
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