Graph the function g(x)=-4x-1

r-ruslan [8.4K]

We have to use pythagorean theorem. The equation is $a^{2} + b^{2} = c^{2}$ so we plug in the numbers (hypothenuse is always C in the equation) $a^{2} + 8^{2} =10^{2}$ now we solve:

$a^{2} +64=100$ Exponents

$a^{2} =36$ Subtract

a=6 Square Root

x=6 Answer

5 0

3 years ago

Which situation can be represent by the equation 1.50x + 3.00 = 9.00

ioda

Answer: it’s Sara paid 3

Step-by-step explanation:

4 0

3 years ago

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Cos4theta+cos2theta/ cos4theta-cos2theta= _____

vovangra [49]

$\bf \textit{Sum to Product Identities} \\\\ cos(\alpha)+cos(\beta)=2cos\left(\cfrac{\alpha+\beta}{2}\right)cos\left(\cfrac{\alpha-\beta}{2}\right) \\\\\\ cos(\alpha)-cos(\beta)=-2sin\left(\cfrac{\alpha+\beta}{2}\right)sin\left(\cfrac{\alpha-\beta}{2}\right) \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \cfrac{cos(4\theta )+cos(2\theta )}{cos(4\theta )-cos(2\theta )}\implies \cfrac{2cos\left( \frac{4\theta +2\theta }{2} \right)cos\left( \frac{4\theta -2\theta }{2} \right)}{-2sin\left( \frac{4\theta +2\theta }{2} \right)sin\left( \frac{4\theta -2\theta }{2} \right)} \implies \cfrac{cos\left( \frac{6\theta }{2} \right)cos\left( \frac{2\theta }{2} \right)}{-sin\left( \frac{6\theta }{2} \right)sin\left( \frac{2\theta }{2} \right)}$

$\bf \cfrac{cos(3\theta )cos(\theta )}{-sin(3\theta )sin(\theta )}\implies -\cfrac{cos(3\theta )}{sin(3\theta )}\cdot \cfrac{cos(\theta )}{sin(\theta )}\implies -cot(3\theta )cot(\theta )$

8 0

3 years ago

You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mi

nikitadnepr [17]

Hello! Sorry that I'm late. Okay, so each batch calls for 2 2/3 cups of granola and 1 1/3 cups of peanuts. Let's divide the number of cups available total by the amount per batch. To divide fractions, keep the first fraction the same, change division into multiplication, and flip the other faction over. Let's do it. 12/1 * 3/8 = 36/8 or 4 1/2 in mixed number form. 17/2 * 3/4 = 51/8 or 6 3/8 in simplest form. You can only make 4 full batches of trail mix, because you can only use the full serving of both granola AND peanuts for 4 of them.

8 0

3 years ago

Resuelve las ecuaciones 3(2x-1)+5(x-3)=4x+7 5-x-(2x+3)= 3+8x

Ivan

Let's solve your equation step-by-step.3(2x−1)+5(x−3)=4x+7Step 1: Simplify both sides of the equation.3(2x−1)+5(x−3)=4x+7Simplify:11x−18=4x+7Step 2: Subtract 4x from both sides.11x−18−4x=4x+7−4x7x−18=7Step 3: Add 18 to both sides.7x−18+18=7+187x=25Step 4: Divide both sides by 7.7x7=257x=257Answer:x=257


Let's solve your equation step-by-step.5−x−(2x+3)=3+8xStep 1: Simplify both sides of the equation.5−x−(2x+3)=3+8xSimplify:−3x+2=8x+3Step 2: Subtract 8x from both sides.−3x+2−8x=8x+3−8x−11x+2=3Step 3: Subtract 2 from both sides.−11x+2−2=3−2−11x=1Step 4: Divide both sides by -11.−11x−11=1−11x=−111Answer:x=−111
Espero que esto ayude

4 0

3 years ago

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