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3 years ago

Zack had a grade of 90% on his geography test. If there were 70 points possible on the

Mathematics

2 answers:

sasho [114]3 years ago

7 0

Answer:

63 points

Step-by-step explanation:

70(.9)

olya-2409 [2.1K]3 years ago

6 0

Answer:

<h2>Brainliest plz</h2>

Step-by-step explanation:

70 points total

90% of the 70 points

70 x 90% = 63

70 x 0.90 = 63

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Is x = -12 a solution of x^2 +10x+25=49?

Tresset [83]

Answer:

Yes

Step-by-step explanation:

${x}^{2} + 10x + 25 = 49 \\ {x}^{2} + 10x + 25 - 49 = 0 \\ {x}^{2} + 10x - 24 = 0 \\ (x + 12)(x -2 ) = 0 \\ \\ x + 12 = 0 \\ x = - 12 \\ \\ \\ x - 2 = 0 \\x = 2$

I hope I helped you^_^

8 0

3 years ago

Three red rods are 2cm longer than two blue rods. Three blue rods are 2cm longer than four red rods. How long is each rod?

nydimaria [60]

Answer:

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

Step-by-step explanation:

Let

x ----> the length of each red rod in centimeters

y ----> the length of each blue rod in centimeters

we know that

$3x=2y+2$ ----> equation A

$3y=4x+2$ ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (10,14)

see the attached figure

therefore

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

4 0

3 years ago

I got to hurry so i kinda didnt have time

k0ka [10]

Answer:

Step-by-step explanation:

5 0

3 years ago

Solve the following equations. log2(x^2 − 16) − log^2(x − 4) = 1

Alenkasestr [34]

Answer:

$x=\frac{4*(2+e)}{e-2}$

Step-by-step explanation:

Let's rewrite the left side keeping in mind the next propierties:

$log(\frac{1}{x} )=-log(x)$

$log(x*y)=log(x)+log(y)$

Therefore:

$log(2*(x^{2} -16))+log(\frac{1}{(x-4)^{2} })=1\\ log(\frac{2*(x^{2} -16)}{(x-4)^{2}})=1$

Now, cancel logarithms by taking exp of both sides:

$e^{log(\frac{2*(x^{2} -16)}{(x-4)^{2}})} =e^{1} \\\frac{2*(x^{2} -16)}{(x-4)^{2}}=e$

Multiply both sides by $(x-4)^{2}$ and using distributive propierty:

$2x^{2} -32=16e-8ex+ex^{2}$

Substract $16e-8ex+ex^{2}$ from both sides and factoring:

$-(x-4)*(-8-4e-2x+ex)=0$

Multiply both sides by -1:

$(x-4)*(-8-4e-2x+ex)=0$

Split into two equations:

$x-4=0\hspace{3}or\hspace{3}-8-4e-2x+ex=0$

Solving for $x-4=0$

Add 4 to both sides:

$x=4$

Solving for $-8-4e-2x+ex=0$

Collect in terms of x and add $4e+8$ to both sides:

$x(e-2)=4e+8$

Divide both sides by e-2:

$x=\frac{4*(2+e)}{e-2}$

The solutions are:

$x=4\hspace{3}or\hspace{3}x=\frac{4*(2+e)}{e-2}$

If we evaluate x=4 in the original equation:

$log(0)-log(0)=1$

This is an absurd because log (x) is undefined for $x\leq 0$

If we evaluate $x=\frac{4*(2+e)}{e-2}$ in the original equation:

$log(2*((\frac{4e+8}{e-2})^2-16))-log((\frac{4e+8}{e-2}-4)^2)=1$

Which is correct, therefore the solution is:

$x=\frac{4*(2+e)}{e-2}$

6 0

3 years ago

***Any links will be reported*** ****i will mark brainliest****

Monica [59]

Answer:

hambuger cheesebuger big mac whooper

Step-by-step explanation:

6 0

3 years ago

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