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3 years ago

The figure below is dilated with the center of dilation at the origin and a scale factor of

Mathematics

1 answer:

kompoz [17]3 years ago

5 0

Answer:

(-3,1)

Step-by-step explanation:

point p’s coordinates are (-9,3)

you need to multiply 1/3 by 9. you can look at this as 3 divided by -9 so it’s easier to answer. so now divide 3 by -9 and your answer is -3.

so -9 is now -3 (first coordinate)

then you need to multiply 1/3 by 3 so again, you can look at it as 3 divided by 3 so it’s easier. so now 3=1 (second coordinate)

ANSWER: -3,1

i hope this helps you with future questions like this! also sorry for late response

(sorry if the coordinates aren’t the same this is what was on mine)

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Solve the simultaneous equations 2x+3y=13 4x-y=-2

kherson [118]

From eq1 ,
2x = 13-3y
x = 6.5-1.5y (eq 3)
sub eq 3 into eq2,
4(6.5-1.5y)-y=-2
26-6y-y=-2
-6y-y=-2-26
-7y=-28
7y=28
y=4 ( eq 4 )
sub eq4 into eq3 ,
x=6.5-1.5(4)
x=6.5-6
x=0.5

4 0

3 years ago

Harry is one third as old as his father. If his father is x 12 years old, how old is Harry? StartFraction x over 3 EndFraction 4

Mama L [17]

The age of the Harry in the terms of variable x, as the age of his father is (x+4) is represent with following equation.

$\sqrt{3}x+4$

<h3>How to write algebraic expression? </h3>

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Harry is one third as old as his father and his father is x+12 years old.To find the age of Harry, we need to convert the given statement into the algebraic expression.

Suppose the age of the Harry is a years and the age of his father is b years. Now Harry is one third as old as his father, thus

$a=\dfrac{1}{3}b$

Let the above equation is equation one.

As the father of Harry is x+12 years old. Thus put the value of age of his father in the equation one as,

$a=\dfrac{1}{3}(x+12)\\a=\sqrt{3}x+4$

The age of the Harry in the terms of variable x, as the age of his father is (x+4) is represent with following equation.

$\sqrt{3}x+4$ $\sqrt{3}x+4$

Learn more about the algebraic expression here;

brainly.com/question/2164351

7 0

2 years ago

Ok guys i have only 1 hr to get this. Determine the y-intercept for the equation 3x + 2y = 12. HELP

sukhopar [10]

Answer:

x= -2/3 y+4

Step-by-step explanation:

Let's solve for x.

3x+2y=12

Step 1: Add -2y to both sides.

3x+2y+−2y=12+−2y

3x=−2y+12

Step 2: Divide both sides by 3.

−2y+12

5 0

2 years ago

As voters exit the polls, you ask a representative random sample of voters if they voted for a proposition. If the true percenta

tresset_1 [31]

Answer:

The probability is 0.057797

Step-by-step explanation:

Consider the provided information.

It is given that true percentage of voters who vote for the proposition is 63%,

Let p is probability of success.

According to the binomial distribution:

$P(x;p,n)=^nC_x(p)^x(1-p)^{(n-x)}$

Substitute n=7, p=0.63 and x=2 in the above formula.

$P(x;p,n)=^7C_2(0.63)^2(1-0.63)^{(7-2)}$

$P(x;p,n)=\frac{7!}{2!5!}(0.3969)(0.37)^{5}\\P(x;p,n)=21(0.3969)(0.37)^{5}\\P(x;p,n)=0.0577974947199\\P(x;p,n)\approx0.057797$

Hence, the probability is 0.057797

8 0

3 years ago

-(4x - 5) + 16x ≥ -31 can you solve this inequality equation?

Elis [28]

Answer: x≥-3

Step-by-step explanation:

-(4x-5)+16x≥-31

-4x+5+16x≥-31

12x+5≥-31

-5 -5

12x≥-36

12/12x≥-36/12

x≥-3

hope this helped :)

3 0

3 years ago