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3 years ago

15

What is the point-slope form of the equation of a line that passes through the point (1, 4) and has a slope of −3?

1 answer:

insens350 [35]3 years ago

3 0

I hope this helps you

x'=1 y'=4 slope = -3

slope. (x'-x)=y'-y

-3. (1-x)=4-y

-3+3x=4-y

y=4+3-3x

y=7-3x

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A computer chip has dimensions of 8mm x 8mm. the scale drawing shows 4cm by 4cm. the answer is 1cm represents 2mm but I don't kn

Andru [333]

$Change\ all\ dimensions\ to\ the\ same\ unit. \\ \\ \\ \\ 4cm==\textgreater\ 400\ mm$ $Work\ out\ the\ Scale\ factor, \\ \\ \\ \\ Scale\ factor= { \frac{Scaled\ dimension\ (same\ side)}{Actual\ dimension\ (same\ side)} } \\ \\ = { \frac{400}{8} } \\ \\ = 50$
$1\ mm\ on\ actual= 50\ mm\ on\ scaled. \\ \\ 2\ mm\ represents\ 1\ cm\ on\ scaled.$

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3 years ago

Solve x+8y/4=9y for x

nikklg [1K]

Answer:

x = 7y

Step-by-step explanation:

x+8y/4=9y

Multiply each side by 4 to get rid of the fractions

4(x+8y/4)=9y*4

Distribute

4x +8y = 36y

Subtract 8y from each side

4x +8y-8y = 36y-8y

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Divide each side by 4

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x = 7y

6 0

2 years ago

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Francis works at Carlos Bakery and is making cookie trays. She has 48 chocolate chip cookies, 64 rainbow cookies, and 120 oatmea

amm1812

The number of cookies and trays are illustrations of greatest common factors.

The number of trays is 8
6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

The given parameters are:

$\mathbf{Chocolate\ chip=48}$

$\mathbf{Rainbow=64}$

$\mathbf{Oatmeal=120}$

<u>(a) The number of trays</u>

To do this, we simply calculate the greatest common factor of 48, 64 and 120

Factorize the numbers, as follows:

$\mathbf{48 = 2 \times 2 \times 2 \times 2 \times 3}$

$\mathbf{64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2}$

$\mathbf{120 = 2 \times 2 \times 2 \times 3 \times 5}$

So, the GCF is:

$\mathbf{GCF= 2 \times 2 \times 2}$

$\mathbf{GCF= 8}$

Hence, the number of tray is 8

<u>(b) The number of each type of cookie</u>

We have

$\mathbf{Chocolate\ chip=48}$

$\mathbf{Rainbow=64}$

$\mathbf{Oatmeal=120}$

Divide each cookie by the number of trays

So, we have:

$\mathbf{Chocolate\ chip = \frac{48}{8} = 6}$

$\mathbf{Rainbow = \frac{64}{8} = 8}$

$\mathbf{Oatmeal = \frac{150}{8} = 15}$

Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

Read more about greatest common factors at:

brainly.com/question/11221202

4 0

2 years ago

Can someone help me with this? thank you!

hammer [34]

Answer:

<u>240cm³</u>

Step-by-step explanation:

To find our answer we will <u>multiply</u> the <em>volume, width, and height</em>.

4 · 20 · 3 = 240. Therefore, <u>240cm³ is our answer.</u>

<em>Have a good day!</em>

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2 years ago

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I'll give brainliest to whoever answers the question correctly!!!!

poizon [28]

Answer:

C. Incomplete sentences

Step-by-step explanation:

7 0

3 years ago

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