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Leya [2.2K]
3 years ago
8

-10 less than or equal to 3x-4 less than 8

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0
X is greater than or equal to -2 and x is less than 4
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HELP ASAP<br> f(x)=x² what is g(x)?
murzikaleks [220]

Just by comparing the plots of f(x) and g(x), it's clear that g(x) is just some positive scalar multiple of f(x), so that for some constant k, we have

g(x) = k • f(x) = kx² = (√k x)²

The plot of the transformed function g(x) = (√k x)² passes through the point (1, 4), which means

g(1) = (√k • 1)² = 4

and it follows that k = 4. So g(x) = 4x² = (2x)² and B is the correct choice.

4 0
2 years ago
In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.
Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M

In the right triangle, two acute angles are always complementary, so

m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}

Thus,

MH=1.43\cos 69^{\circ}\approx 0.51\ cm

7 0
2 years ago
Is it anyone up here that can help me with this question please anyone please
pentagon [3]
I'm going to guess B but I'm not sure
6 0
3 years ago
How do I find Trig ratios
nadya68 [22]

Trig ratios can only be used on right triangles with acute measures.

If given an angle and there are adjacent and opposite sides, then use tan(opposite/adjacent)

If given an angle and there is an adjacent side and a hypotenuse, then use cosine(adjacent/hypotenuse)

If given an angle and there is an opposite and adjacent side, then use sin(opposite/hypotenuse)

A common mnemonic device used to memorize the trig rules is SOH-CAH-TOA

8 0
3 years ago
the mass of jam when full is 450g. the jam has a mass of 80g. find the total mass of 3 full jars of jam in kilograms and grams​
anastassius [24]

Answer:

the answer is 1350

Step-by-step explanation:

add 450 together three times or multiply by 3

450 x 3 = 1350

5 0
3 years ago
Read 2 more answers
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