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3 years ago

Can someone help me with these 2 questions please

Mathematics

1 answer:

Verdich [7]3 years ago

7 0

Answer:

First question D

Second question C

Step-by-step explanation:

First question:

You lose 10 (-10), then lose 5(-5)

-10 - 5 = -15

Second:

-3 - 4 - 3= -10

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Which set of points includes all of the solutions for y = negative three halves times x plus two? line going through 0 comma 2 a

worty [1.4K]

Answer:

$(x,-\frac{3}{2} x+2)$

Step-by-step explanation:

For $y= \frac{-3}{2} x+2$ the set of points that include all solutions are $(x,y)$ such that $y= \frac{-3}{2} x+2$ ; then we have $(x,y)=(x,\frac{-3}{2} x+2)$ .

What is important to stress here is that $(x,-\frac{3}{2} x+2)$ represents all of the solutions, while other points that we are given represent one solution (for example, point (2,-1) is just one solution)

5 0

3 years ago

Find the weight of the cast iron shape shown below at 0.26 pounds per cubic inch. (round to the nearest pound). The height of th

weqwewe [10]

Answer:

640 pounds

Step-by-step explanation:

The rest of the question is the attached figure

So, the total volume = V(cylinder ) + V(cone)

The volume of cylinder = π r² h

The volume of cone = π r² h/3

Both of the cylinder and the cone have the same diameter = 14 inches

So, the radius = 14/2 = 7 inches

The height of the cylinder is 13 inches and the height of the cone is 9 inches.

So, The volume of cylinder = π r² h = π * 7² * 13 = 2,001.2 in³

And The volume of cone = π r² h/3 = π * 7² * 9/3 = 461.8 in³

So, the total volume = 2,001.2 + 461.8 = 2,463 in³

So, the total weight = 0.26 pounds per cubic inch times the total volume

= 0.26 * 2463 = 640.38 pounds

= 640 pounds (to the nearest pound)

6 0

3 years ago

Solve this system of equations using substitution:

yanalaym [24]

I’m thinking your r in the first equation is actually an x.

X + 2(2x -4) =10

X +4x -8 =10

5x = 18

4 0

3 years ago

Given ΔABC with A(–4, –2), B(4, 4), and C(18, –8), write the equation for the line containing median segment The term is line se

Monica [59]

Here we want to find the equation of the line containing the median CP.

P, being the midpoint of AB can be found using the midpoint formula as:

$\displaystyle{ P=( \frac{-4+4}{2} , \frac{-2+4}{2} )=(0, 1)$ .

The slope m of the line through CP can be found by the slope formula using points C(18, -8) and P(0, 1):

$\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{-8-1}{18-0}= \frac{-9}{18}= \frac{-1}{2}$ .

Now, we can write the equation of the line with slope -1/2, passing through
P(0, 1):

$y-1= \frac{-1}{2}(x-0)\\\\y= -\frac{1}{2}x+1$ .

Answer: $y=-\frac{1}{2}x+1$

5 0

3 years ago

Evaluate the function f(x)= 7.45x + 33.7 at x= -4.3

slavikrds [6]

First, you have to substitute for x, which would make the problem f(x)=7.45(-4.3)+33.7
Now, you just have to use the PEMDAS method (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
f(x)= -32.035+33.7
f(x)=1.665

6 0

3 years ago