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Oksi-84 [34.3K]
2 years ago
10

Is (-6, 22) a solution to y= -3x +4 ?

Mathematics
1 answer:
gulaghasi [49]2 years ago
8 0

Answer: Yes

Step-by-step explanation:

To find if (-6,22) is a solution to y=-3x+4, we can directly plug in the coordinates.

22=-3(-6)+4       [multiply]

22=18+4            [add]

22=22

Since 22=22, we know that (-6,22) is a solution to y=-3x+4.

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This is the formula of finding the hypotenuse: a² + b² = c².

So the legs would be a and b.

4² + 4² = c²

c² = 16 + 16

c² = 32

c = √32  (Option C)

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Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie's cube
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Answer:

15.625 cm^3

Step-by-step explanation:

V=2.5^{3} \\V=2.5*2.5*2.5\\V=6.25*2.5\\V=15.625 cm^{3}

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3 years ago
Please help <br><br><br> What is the value of x? <br> A:12 <br><br> B:15<br><br> C: 6<br><br> D: 30
pickupchik [31]

Answer: A, 12

Step-by-step explanation:

The line in the middle is a midsegment, making the two triangles similar by a ratio of two. So, dividing 60 by five will give you twelve

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3 years ago
Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se
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Answer:

The question is incomplete, the complete question is  "Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9.  log_{4}7.

log_{4}7=1.404\\

Step-by-step explanation:

From the general properties or laws of logarithm, we have the

log_{a}b=\frac{logb}{loga} \\

where both log are now express in the natural logarithm base.

i.e log_{a}b=\frac{lnb}{lna}\\

hence we can express our log_{4}7=\frac{ln7}{ln4} \\.

the value of ln7 is 1.9459 and ln4 is 1.3863

Hence  log_{4}7=\frac{ln7}{ln4}=\frac{1.9459}{1.3863}\\.

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6 0
3 years ago
Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in
Ronch [10]

The model in which the lateral surface meets the base at right angle is : Model 1.

<h3>What is a lateral surface?</h3>

The lateral surface of an object is all surfaces  of that object excluding its base and top.

Analysis:

To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.

For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.

Model 1

Diagonal = 50cm, radius = 14cm, lateral height = 48cm

(50)^{2} = (14)^{2} + (48)^{2}

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Model 2

Diagonal= 37cm, radius = 6cm  lateral height = 35cm

(37)^{2} = (35)^{2}+ (6)^{2}

1369 = 1225 +36

1369 \neq 1261

Model 3

Diagonal = 60cm, radius = 20cm  lateral height = 40cm

(60)^{2} = (20)^{2} + (40)^{2}

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Model 4

Diagonal = 30cm, radius = 24cm, lateral height = 9cm

(30)^{2} = (24)^{2} + (9)^{2}

900 = 576 + 81

900 \neq 657

Therefore the lateral surface model 1 meets the base at right angle

In conclusion,  the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.

Learn more about Pythagorean triplet: brainly.com/question/20894813

#SPJ1

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2 years ago
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