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3 years ago

What is the slope of a line that is perpendicular to the line of 2x+4y=12

Mathematics

1 answer:

kipiarov [429]3 years ago

5 0

make the equation slope-intercept form:

subtract 2x from both sides:

4y = -2x + 12

divide by 4 to get y by itself:

y = -1/2x + 3

to make the new line perpendicular to the existing line, completely flip the slope of the line:

y = 2x + 3

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Eliza is a chef at a restaurant. she is making spaghetti sauce and put 14 tomatoes and 4 onions in the pot. what is the ratio of

notka56 [123]

Here,
tomato = 14
onion = 4
then,
ratio of tomato to onion = 14/4
= 7/2

7 0

3 years ago

Please answer before Monday 9 a.m.I have to go to school that day at that time.

xeze [42]

Answer:

First choice, 984 cm²

Explanation:

The plastic pencil case has form of a triangular prism.

This triangular prism has five faces:

Top and bottom faces: two congruent triangles with a 10 cm base and 12 cm height.

Lateral faces: two congruent rectangles with a 24 cm length and 13 cm widht, and one rectangle with 24 cm length and 10 cm widht.

Surface area:

Top and bottom triangles:

area = (1/2) base × height

area of one triangle = 10 cm × 12 cm × (1/2) = 60 cm²

area of the two triangles = 2 × 60 cm² = 120 cm²

Lateral rectangles:

area of a rectangle = length × width

area of the trhee triangles = 24 cm × 10 cm + 2 × 24 cm × 13 cm = 240 cm² + 624 cm² = 864 cm².

Total area: 120 cm² + 864 cm² = 984 cm²

Answer: first choice, 984 cm²

6 0

3 years ago

Assume that women's heights are normally distributed with a mean given by mu equals 62.3 in, and a standard deviation given by

Salsk061 [2.6K]

Answer: a) 0.6141

b) 0.9772

Step-by-step explanation:

Given : Mean : $\mu= 62.3\text{ in}$

Standard deviation : $\sigma = \text{2.4 in}$

The formula for z -score :

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

a) Sample size = 1

For x= 63 in. ,

$z=\dfrac{63-62.3}{\dfrac{2.4}{\sqrt{1}}}=0.29$

The p-value = $P(z$

$0.6140918\approx0.6141$

Thus, the probability is approximately = 0.6141

b) Sample size = 47

For x= 63 ,

$z=\dfrac{63-62.3}{\dfrac{2.4}{\sqrt{47}}}\approx2.0$

The p-value = $P(z$

$=0.9772498\approx0.9772$

Thus , the probability that they have a mean height less than 63 in =0.9772.

8 0

3 years ago

Solve. √ x + 4 = x - 2 A.5 B. -2,3 C.10 D.no real number solution

Snowcat [4.5K]

Answer:

i think the answer is b

Step-by-step explanation:

3 0

3 years ago

Which equation has a maximum at y=5 for 0 is less than or equal to x which is less than or equal to 2pi

alekssr [168]

Answer:

From the looks of it I think the answer is C.

3 0

3 years ago