All categories

3 years ago

Help with this question

Mathematics

1 answer:

larisa [96]3 years ago

4 0

Answer:

-2

Step-by-step explanation:

2x + y = 10 Subtract 2x from both sides.

2x-2x + y = 10 - 2x Combine the left.

y = 10 - 2x

The slope is the number in front of the x -- in this case - 2

The answer is - 2

You might be interested in

Conditional Probability Assistance?

krek1111 [17]

Let the event $A=\{ Sophomore \}, B=\{ Boy \}$

The the probability of the events

$P(A \cap B)=\frac{5}{12+18} =\frac{1}{6}$

$P( B)=\frac{12}{12+18} =\frac{2}{5}$

The conditional probability

$P(Sophomore|Boy)=P(A|B)=\frac{P(A \cap B)}{P(B)} =\frac{1/6}{2/5} =\frac{5}{12}$

5 0

3 years ago

What is the square root of 51.84

bija089 [108]

The square root of 51.84 is 7.2

7 0

3 years ago

State the third congruent part to prove the two triangles congruent by SSS. Write the triangle congruence statement

Alekssandra [29.7K]

Answer:

ΔCBA ≅ ΔDEF

Step-by-step explanation:

The question in text and on the picture are different.

Going by picture.

When stating the congruence, it is important to stick to right order of vertices.

The first triangle is ΔCBA

<u>Corresponding angles are:</u>

∠C ≅ ∠D, ∠B ≅ ∠E, ∠A ≅ ∠ F

<u>Therefore the second triangle is:</u>

ΔDEF

7 0

3 years ago

Read 2 more answers

A rectangular storage container with a lid is to have a volume of 2 m3. The length of its base is twice the width. Material for

Scilla [17]

Answer:

Dimensions are 2 m by 1 meter by 1 meter,

Minimum cost is $ 18.

Step-by-step explanation:

Let w be the width ( in meters ) of the container,

Since, the length is twice of the width,

So, length of the container = 2w,

Now, if h be the height of the container,

Volume = length × width × height

2 = 2w × w × h

1 = w² × h

$\implies h=\frac{1}{w^2}$

Since, the area of the base = l × w = 2w × w = 2w²,

Area of the lid = l × w = 2w²,

While the area of the sides = 2hw + 2hl

= 2h( w + l)

$= 2\times \frac{1}{w^2}(w+2w)$

$=\frac{6w}{w^2}$

$=\frac{6}{w}$

Since, Material for the base costs $1 per m². Material for the sides and lid costs $2 per m²,

So, the total cost,

$C(w) = 1\times 2w^2+2\times 2w^2 + 2\times \frac{6}{w}$

$=2w^2+4w^2+\frac{12}{w}$

$=6w^2+\frac{12}{w}$

Differentiating with respect to w,

$C'(w) = 12w -\frac{12}{w^2}$

Again differentiating with respect to w,

$C''(w) = 12 + \frac{24}{w^3}$

For maxima or minima,

C'(w) = 0

$\implies 12w -\frac{12}{w^2}=0$

$\implies 12w^3 - 12=0$

$w^3-1=0\implies w = 1$

For w = 1, C''(w) = positive,

Hence, for width 1 m the cost is minimum,

Therefore, the minimum cost is C(1) = 6(1)²+12 = $ 18,

And, the dimension for which the cost is minimum is,

2 m by 1 meter by 1 meter.

7 0

3 years ago

In a sale, there is 50% off all prices. A chair costs ?17.50 in the sale. How much was it before the sale?

Valentin [98]

In order to solve this problem, you double the sales price!

$17.50 x 2 = $35.00

The original price would be $35.

Hope this helps!

8 0

3 years ago