What is the equation given a slope of 5 and a y-intercept of 12?

Mathematics

1 answer:

labwork [276]3 years ago

6 0

Answer:

y= 5x +12

Step-by-step explanation:

y=mx+b is slope intercept form

m = slope

b = y intercept

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To help vegetables stay fresh longer, Liam’s family maintains storage near their home. The total volume of the root cellar is 95

Helga [31]

To help vegetables stay fresh longer, Volume of storage of 951 cubic feet is equal to 26.929 $m^3$

<u>Solution:</u>

Given that to help vegetables stay fresh longer, Liam’s family maintains storage.

Total volume of root cellar that is storage is 951 cubic feet.

Also given that 1 foot = 0.3048 meters

need to find the volume of storage in cubic meter that is $m^3$

$\begin{array}{l}{\text { As } 1 \text { foot }=0.3048 \mathrm{m}} \\\\ {\Rightarrow 1 \text { foot } \times 1 \text { foot }=0.3048 \mathrm{m} \times 0.3048 \mathrm{m}} \\\\ {\Rightarrow 1 \text { foot } \times 1 \text { foot } \times 1 \text { foot }=0.3048 \mathrm{m} \times 0.3048 \mathrm{m} \times 0.3048 \mathrm{m}} \\\\ {=1 \mathrm{foot}^{3}=0.0283 \mathrm{m}^{3}} \\\\ {\Rightarrow 1 \text { cubic feet }=0.0283 \mathrm{m}^{3}}\end{array}$

$\text { So } 951 \text { cubic feet }=951 \times 0.0283 \mathrm{m}^{3}=26.929 \mathrm{m}^{3}$

Hence volume of storage of 951 cubic feet is equal to 26.929 $m^3$

7 0

3 years ago

A parabola and its focus are shown on the graph. The vertex of the parabola is at (0,0).

natulia [17]

Answer:

y = -3

Step-by-step explanation:

the length from directrix to vertex is equal to the length from focus to the vertex.

4 0

3 years ago

Read 2 more answers

Given: △KLM, LM=20 3

egoroff_w [7]

Split the triangle into a 30-60-90 triangle. Since you have LM from that triangle, you can figure out the other sides. Then, using the leg from that triangle, the one next to it is a 45-45-90 triangle, meaning it's isosceles.

KM = 30 + 10√3

KL = 10√6

(sorry i'm not too sure if my "reasons" for statement/reason is correct)