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motikmotik
3 years ago
14

How do work this out

Mathematics
1 answer:
BabaBlast [244]3 years ago
6 0
We can factor this by using grouping. Take the leading coefficient and multiply it by the constant. In this case we get 5*-7 = -35. 

Now we need 2 numbers that add to 2 and multiply to be -35. The numbers are -5 and 7.

So split the 2r into these two terms and group.

(5r^2 - 5r) + (7r - 7)

Factor both groups.

5r(r-1) + 7(r-1)

The factors of (r-1) can be added together to get the answer.

(r-1)(5r+7)
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Given the vectors u = <5,-1> and v = <1,12>, find -7u-3v. *
zepelin [54]

You multiply vectors and scalar simply by multiplying each component by that scalar:

-7u = \langle-35,7\rangle,\quad -3v=\langle -3,-36\rangle

Finally, you sum two vectors by summing the correspondent coordinates:

-7u-3v = \langle-35,7\rangle+\langle -3,-36\rangle = \langle-38,-29\rangle

4 0
3 years ago
Should we make laws to prevent or fight climate change?
aleksklad [387]

Answer:

no because if the climate were to stay the same things wouldnt happen. like if it stayed hot plants wouldnt grow because the sun would dry out the soil and shrink the plants and a whole bunch of other problems.

Step-by-step explanation:

5 0
3 years ago
Find the slope from (0,0) to (10,10)
juin [17]

Answer:

the slope is 1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
) Evaluating a polynomial limit analytically You should have learned by now the process for finding the derivative of a polynomi
wolverine [178]

Answer:

This code or is program to find a given value of derivative of  a polynomial.

Step-by-step explanation:

We know already how to apply or make the procedures mathematically talking so this short program will eventually help you how to find logic.

// libraries

#include <stdio.h>

#include <conio.h>

//use to control floating elements

float poly(float a[], int, float);

//main

int main()

{

// Enter the degree of polynomial equation

float x, a[10], y1;

int deg, i;

printf("Enter the degree of polynomial equation: ");

scanf("%d", &deg);

printf("Ehter the value of x for which the equation is to be evaluated: ");

// Enter the coefficient of x to the power

scanf("%f", &x);

for(i=0; i<=deg; i++)

{

 printf("Enter the coefficient of x to the power %d: ",i);

 scanf("%f",&a[i]);

}

// The value of polynomial equation for the value of x

y1 = poly(a, deg, x);

 

printf("The value of polynomial equation for the value of x = %.2f is: %.2f",x,y1);

 

return 0;

}

/* function for finding the value of polynomial at some value of x */

float poly(float a[], int deg, float x)

{

float p;

int i;

 

p = a[deg];

 

for(i=deg;i>=1;i--)

{

 p = (a[i-1] + x*p);

}

 

return p;

}

8 0
2 years ago
The radius of a large sphere is 8 times the radius of a small sphere. the surface area of the large sphere is how many times the
kondaur [170]
Large sphere's radius = R,
small sphere's radius = r, R = 8r
surface area of a sphere (SA) = 4×pi×radius^2
So what we need is the SA of the larger in terms of the smaller sphere, so if:
SA (of R) = 4×pi×R^2, then plug in "8r" for "R"...
SA = 4×pi×(8r)^2 = 4×3.14×64r^2
SA = 12.57×64r^2 = 804 r^2
Therefore the SA of the larger sphere is 804 times the SA of the smaller sphere.
I hope that makes sense!
8 0
3 years ago
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